AMS eBooks: Contemporary Mathematics

<!doctype html> <html lang="en"> <head>  <script async src="https://www.googletagmanager.com/gtag/js?id=G-26G4XFTR63"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-26G4XFTR63'); </script>  <script>(function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start': new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0], j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src= 'https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f); })(window,document,'script','dataLayer','GTM-P3772VN');</script>  <meta charset="utf-8"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <meta name="viewport" content="width=device-width, initial-scale=1"> <meta name="citation_series_title" content="Contemporary Mathematics"> <meta name="citation_abstract_html_url" content="https://www.ams.org/conm/691/"> <meta name="citation_pdf_url" content="https://www.ams.org/conm/691/conm691.pdf"> <meta name="citation_issn" content="0271-4132"> <meta name="citation_issn" content="1098-3627"> <meta name="citation_isbn" content="978-1-4704-3573-8"> <meta name="citation_isbn" content="978-1-4704-4117-3"> <meta name="citation_isbn" content="978-1-4704-4118-0"> <meta name="citation_publisher" content="American Mathematical Society"> <meta name="citation_author" content="Brumley, Farrell"> <meta name="citation_author_institution" content="Université Paris 13, Villetaneuse, France"> <meta name="citation_author" content="Gómez Aparicio, Maria"> <meta name="citation_author_institution" content="Université Paris-Sud 11, Orsay, France"> <meta name="citation_author" content="Mínguez, Alberto"> <meta name="citation_author_institution" content="Université Pierre et Marie Curie, Paris, France"> <meta name="citation_title" content="Around Langlands Correspondences"> <meta name="citation_publication_date" content="2017"> <meta name="citation_volume" content="691"> <meta name="citation_doi" content="10.1090/conm/691"> <title> AMS eBooks: Contemporary Mathematics</title> <meta http-equiv="Cache-Control" content="no-cache, no-store, must-revalidate" /> <meta http-equiv="Cache-control" content="no-store"> <meta http-equiv="Pragma" content="no-cache" /> <meta http-equiv="Expires" content="0" />  <script language="javascript"> function toggle() { var ele = document.getElementById("toggleText"); var text = document.getElementById("displayText"); if(ele.style.display == "block") { ele.style.display = "none"; text.innerHTML = "Read more about this volume"; } else { ele.style.display = "block"; text.innerHTML = "Hide this content"; } } </script> <script type="text/javascript"> function unhide(divID) { var item = document.getElementById(divID); if (item) { item.className=(item.className=='hidden')?'unhidden':'hidden'; } } </script> <script type="text/javascript"> var addPairingListener = true; var testForPairingInst = true; var showCurrentPairingInfo = true; var doPairing = false; </script> <script type="text/javascript" src="/js/jquery.js"></script> <script type="text/javascript" src="/js/json2.js"></script> <script type="text/javascript" src="/js/ams/amspairing.js"></script> <meta name="google-site-verification" content="qgGBs5iVsNDj2WY9FYh6Yz2frsj8rnOcWTzEp-vDsHg" />  <meta name="theme-color" content="#0057b8"/>   <meta property="og:title" content="American Mathematical Society" /> <meta property="og:description" content="Advancing research. Creating connections." /> <meta property="og:image" content="https://www.ams.org/images/Logo-Stacked.gif" /> <meta property="og:image:width" content="800" /> <meta property="og:image:height" content="400" /> <meta property="og:image:alt" content="American Mathematical Society" /> <meta property="og:site_name" content="American Mathematical Society"> <meta property="og:type" content="website"> <meta property="og:locale" content="en_US"> <meta property="article:publisher" content="https://www.facebook.com/amermathsoc" />  <meta name="twitter:card" content="summary_large_image"> <meta name="twitter:site" content="@amermathsoc"> <meta name="twitter:title" content="American Mathematical Society"> <meta name="twitter:description" content="Advancing research. Creating connections."> <meta name="twitter:image" content="https://www.ams.org/images/Logo-Stacked.gif"> <meta name="twitter:image:alt" content="American Mathematical Society"> <meta name="twitter:creator" content="@authorUsername">  <script type="application/ld+json"> { "@context": "https://schema.org", "@type": "Organization", "url": "http://www.ams.org", "logo": "https://www.ams.org/images/content/logo.png", "sameAs": [ "https://www.facebook.com/amermathsoc", "https://twitter.com/amermathsoc", "https://www.linkedin.com/company/american-mathematical-society" ], "contactPoint": [ { "@type": "ContactPoint", "telephone": "+1-800-321-4267", "faxNumber": "+1-401-455-4000", "contactType": "Customer Service", "productSupported": "Corporate Operations", "contactOption": "TollFree", "areaServed": "Worldwide" }, { "@type": "ContactPoint", "telephone": "+1-919-515-7863", "faxNumber": "+1-919-515-7896", "contactType": "Customer Service", "productSupported": "American Mathematical Society: Office of the Secretary (Governance)", "areaServed": ["US"], "availableLanguage": ["English"] } ], "address": { "@type": "PostalAddress", "streetAddress": "201 Charles Street", "addressLocality": "Providence", "addressRegion": "RI", "postalCode": "02904-2213", "addressCountry": "US" }, "foundingDate": "1888" } </script>  <link rel="shortcut icon" type="image/x-icon" href="https://www.ams.org/images/Logo-Favicon.png"> <link rel="icon" type="image/x-icon" href="https://www.ams.org/images/Logo-Favicon.png"> <link rel="icon" type="image/png" href="https://www.ams.org/images/Logo-Favicon.png">  <link rel="alternate" type="application/rss+xml" title="AMS News" href="https://www.ams.org/cgi-bin/content/news_items.cgi?rss=1" />  <link rel="dns-prefetch" href="https://maxcdn.bootstrapcdn.com" /> <link rel="dns-prefetch" href="https://ajax.googleapis.com" /> <link rel="dns-prefetch" href="https://cdnjs.cloudflare.com" />  <link rel="preconnect" href="https://fonts.gstatic.com/" crossorigin>  <link href="/css/bootstrap-accessibility.css" rel="stylesheet preload" as="style">  <link rel="stylesheet prefetch" href="https://fonts.googleapis.com/css?family=Open+Sans:400,400i,600,600i,700,700i&display=swap&subset=latin-ext" rel="preload" as="font" crossorigin> <link href="https://fonts.googleapis.com/css?family=Merriweather&display=swap" rel="preload" crossorigin>  <link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.5/css/bootstrap.min.css" rel="stylesheet" crossorigin>  <link href="/css/newgooglecss.css" rel="stylesheet preload" as="style">  <link href="/css/2022_website.css" rel="stylesheet preload" as="style"> <link href="/css/yammcss.css" rel="stylesheet preload" type="text/css" as="style"> <link href="/css/global-code.css" rel="stylesheet preload" as="style">  <script src="https://ajax.googleapis.com/ajax/libs/jquery/3.6.0/jquery.min.js"></script> <script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.4.1/js/bootstrap.min.js"></script> <script src="/js/jquery.modal.min.js"></script>  <script> (function(h,o,t,j,a,r){ h.hj=h.hj||function(){(h.hj.q=h.hj.q||[]).push(arguments)}; h._hjSettings={hjid:1104779,hjsv:6}; a=o.getElementsByTagName('head')[0]; r=o.createElement('script');r.async=1; r.src=t+h._hjSettings.hjid+j+h._hjSettings.hjsv; a.appendChild(r); })(window,document,'https://static.hotjar.com/c/hotjar-','.js?sv='); </script> <script src="/js/bootstrap-accessibility.js"></script>  <script> $(function() { $(document).on('click', '.yamm .dropdown-menu', function(e) { e.stopPropagation() }) }) </script>   <script> (function() { var cx = '006070101833274801941:dcorgy__oqo'; var gcse = document.createElement('script'); gcse.type = 'text/javascript'; gcse.async = true; gcse.src = 'https://cse.google.com/cse.js?cx=' + cx; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(gcse, s); })(); window.onload = function(){ document.getElementById('gsc-i-id1').placeholder = 'Enhanced by Google'; }; </script>  <link rel="stylesheet" type="text/css" href="/css/cookieconsent.min.css" /> <script src="/js/cookieconsent.min.js"></script> <script> window.addEventListener("load", function(){ window.cookieconsent.initialise({ "palette": { "popup": { "background": "#edeff5", "text": "#000000" }, "button": { "background": "#4b81e8" } }, "theme": "classic", "position": "bottom-right", "content": { "message": "This website uses cookies to ensure you get the best experience on our website.", "href": "/privacy", "dismiss": "Okay", "link": "Learn more about our privacy policy" } })}); </script>  <script> (function (m, a, z, e) { var s, t; try { t = m.sessionStorage.getItem('maze-us'); } catch (err) {} if (!t) { t = new Date().getTime(); try { m.sessionStorage.setItem('maze-us', t); } catch (err) {} } s = a.createElement('script'); s.src = z + '?t=' + t + '&apiKey=' + e; s.async = true; a.getElementsByTagName('head')[0].appendChild(s); m.mazeUniversalSnippetApiKey = e; })(window, document, 'https://snippet.maze.co/maze-universal-loader.js', '2fe4033d-f108-44b9-98e0-e2bae788add9'); </script> <meta name="google-site-verification" content="qgGBs5iVsNDj2WY9FYh6Yz2frsj8rnOcWTzEp-vDsHg" /> <meta name="msvalidate.01" content="00231D27FB6DCA6C6AA0841A6E522453" /> </head> <body>  <noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-P3772VN" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>  <a class="button button--skip-link" href="#main-content">Skip to Main Content</a> <input type="hidden" id="ams_class_id" value="1" /> <div class="navbar yamm navbar-default navbar-fixed-top"> <div class="container-fluid"> <div class="navbar-header">  <button aria-label="Toggle navigation" aria-controls="navbar-collapse-1" aria-expanded="false" type="button" data-toggle="collapse" data-target="#navbar-collapse-1" class="navbar-toggle"> <span class="icon-bar"></span> <span class="icon-bar"></span> <span class="icon-bar"></span> </button> <a href="/" class="navbar-brand1"> <img src="https://www.ams.org/images/content/logo.png" width="350" height="92" loading="lazy" alt="American Mathematical Society" class="img-responsive amslogo visible-lg visible-md" aria-label="Welcome to the American Mathematical Society. Advancing research. Creating connections."> <img src="https://www.ams.org/images/mathstat-logo-ams.png" alt="American Mathematical Society" class="img-responsive amslogo visible-xs-inline visible-sm-inline" loading="lazy" ></a>  </div> <div id="navbar-collapse-1" class="navbar-collapse collapse">  <p class="navbar-text navbar-right commerceitems"> <a href="https://mathscinet.ams.org" class="navbar-link orange">MathSciNet</a> <a href="https://bookstore.ams.org" class="navbar-link" id="bookstorelink">Bookstore</a>  <span id="accountDiv"></span> <script src="/js/ajax.js" type="text/javascript"></script> <script type="text/javascript"> function loadAccount () { makeRequest('/cgi-bin/content/account_header.cgi', 'accountDiv'); //makeRequest('https://prsdev.ams.org/ebus/AccountHeader.aspx', 'accountDiv'); } if (window.addEventListener) window.addEventListener('load', loadAccount, false); else if (window.attachEvent) window.attachEvent('onload', loadAccount); </script> <br />  <span class="navbar-text navbar-right" id="search-box" role="search" aria-label="Sitewide"> <gcse:searchbox-only></gcse:searchbox-only> </span>  </p>  <div class="clearfix hidden-xs hidden-sm"><br></div> <section id="main-nav" role="navigation" aria-label="Main"> <ul class="nav navbar-nav navbar-center grayrow">  <li class="dropdown yamm-fw"> <button style="border: none;" data-toggle="dropdown" class="dropdown-toggle megahead" aria-expanded="false">Publications<b class="caret"></b></button> <ul class="dropdown-menu"> <li>  <div class="yamm-content"> <div class="row underline"> <h2 class="megaIntroHeader" aria-label="Jump to the publications homepage"><a href="/publications" id="Publications"><i class="fa-duotone fa-house" aria-hidden="true"></i> Publications Home</a> <small> — <em>Over 100 years of publishing excellence</em></small></h2> </div> <div class="row"> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/books/book-series">Books</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="https://bookstore.ams.org/">Bookstore</a></li> <li class="megalinks"><a href="/arc/books/index.html">Book Author Resources</a></li> <li class="megalinks"><a href="/submit-proposal/submit-proposal">Submit a Book Proposal</a></li> <li class="megalinks"><a href="/publications/pubpermissions">AMS Rights, Licensing, Permissions</a></li> <li class="h3 megalinksHeader"><strong><a href="/open-math-notes">Open Math Notes</a></strong></li> <li class="megalinks"><a href="/open-math-notes/omn-faq">Frequently Asked Questions</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/journals/journals">Journals</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/journals#memberjournals">Member Journals</a></li> <li class="megalinks"><a href="/journals#research">Research Journals</a></li> <li class="megalinks"><a href="/journals#translation">Translation Journals</a></li> <li class="megalinks"><a href="/journals#distributed">Distributed Journals</a></li> <li class="megalinks"><a href="/open-access">Open Access Journals</a></li> <li class="megalinks"><a href="/policies/policies">Guidelines and Policies</a></li> <li class="megalinks"><a href="/arc/journals/index.html">Journal Author Resources</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/publications/librarian">Librarian Resources</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/ebooks">eBook Collections</a></li> <li class="megalinks"><a href="/counter-compliant-usage-statistics">COUNTER Usage Statistics</a></li> <li class="megalinks"><a href="/cgi-bin/click_access/inquiry.pl">My Subscriptions</a></li> <li class="megalinks"><a href="/journals/subscriberinfo">Subscription Information</a></li> <li class="megalinks"><a href="/license/journals-license">Licensing Information</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/math-reviews/math-reviews">Mathematical Reviews/MathSciNet®</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="https://mathscinet.ams.org/mathscinet">MathSciNet<sup>®</sup></a></li>  <li class="megalinks"><a href="https://mathscinet.ams.org/mresubs/index.html">Reviewer Home</a></li> <li class="megalinks"><a href="/publications/math-reviews/mathsciprice">MathSciNet<sup>®</sup> Subscriptions</a></li> </ul> </section> </div> </div> </li> </ul> </li> <li class="dropdown yamm-fw"> <button style="border: none;" data-toggle="dropdown" class="dropdown-toggle megahead" aria-expanded="false">Membership<b class="caret"></b></button> <ul class="dropdown-menu"> <li>  <div class="yamm-content"> <div class="row underline"> <h2 class="megaIntroHeader" aria-label="Jump to the membership homepage"><a href="/membership"><i class="fa-duotone fa-house" aria-hidden="true"></i> Membership Home</a> <small> — <em>Welcome to your membership center</em></small></h2> </div> <div class="row"> <section class="col-md-3"> <h3 class="megalinksHeader">Membership Choices</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="https://ebus.ams.org/ebus/Membership/JoinAMS.aspx" style="color:#C15324!important;"><i class="fa fa-handshake" aria-hidden="true"></i> Join the Society</a></li> <li class="megalinks"><a href="https://ebus.ams.org/ebus/Membership/RenewyourAMSMembership.aspx" style="color:#C15324!important;"><i class="fa fa-address-card" aria-hidden="true"></i> Renew your Membership</a></li> <li class="megalinks"><a href="/membership/givemembership" style="color:#C15324!important;"><i class="fa fa-gift" aria-hidden="true"></i> Gift a Membership</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/membership#indiv">Individual Membership</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/membership/benefits/benefits"> Member Benefits</a></li> <li class="megalinks"><a href="/cml">Member Directory</a> </li> <li class="megalinks"><a href="/membership/mem-reciprocity">Reciprocating Societies</a> </li> <li class="megalinks"><a href="/memberbership/mem-develop">Members in Developing Countries</a> </li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/institutional/institutional">Institutional Membership</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/institutional/institutional">Domestic Institutions</a></li> <li class="megalinks"><a href="/international-members/international-members">International Institutions</a></li> <li class="megalinks"><a href="/institutional/two-year">Two-Year Institutions</a></li> <li class="megalinks"><a href="/programs/studentchapters">Graduate Student Chapter Program</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader">Other Member Types</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/institutional/corporate/corporate">Corporate Memberships</a></li> <li class="megalinks"><a href="/institutional/mem-associates">Associate Memberships</a></li> </ul> </section> </div> </div> </li> </ul> </li> <li class="dropdown yamm-fw"> <button style="border: none;" data-toggle="dropdown" class="dropdown-toggle megahead" aria-expanded="false">Meetings & Conferences<b class="caret"></b></button> <ul class="dropdown-menu"> <li>  <div class="yamm-content"> <div class="row underline"> <h2 class="megaIntroHeader" aria-label="Jump to the meetings homepage"> <a href="/meetings"><i class="fa-duotone fa-house" aria-hidden="true"></i> Meetings & Conferences Home</a> <small> — <em>Engage with colleagues and the latest research </em></small></h2> </div> <div class="row"> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/national/national">National Meetings</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="http://jointmathematicsmeetings.org/">Joint Mathematics Meetings</a></li> <li class="megalinks"><a href="/national/national">Upcoming JMMs</a></li> <li class="megalinks"><a href="/national_past.html">Previous JMMs</a></li> <li class="megalinks"><a href="/lectures/lectures">Special Lectures</a></li> <li class="megalinks"><a href="/national/national#pep">Professional Enhancement Programs (PEPs)</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/sectional/sectional-index">Sectional Meetings</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/sectional/sectional.html">Upcoming Sectionals</a></li> <li class="megalinks"><a href="/sectional/sectional_past.html">Previous Sectionals</a></li> <li class="megalinks"><a href="/presenting/sectional-papers">Presenting Papers</a></li> <li class="megalinks"><a href="/hosting/hosting">Hosting Sectionals</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader">Other Meetings, Conferences & Workshops</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/research-communities/mrc">Mathematics Research Communities</a></li> <li class="megalinks"><a href="/meetings/coeminiconference">Education Mini-conference</a></li> <li class="megalinks"><a href="/international-index">International Meetings</a></li> <li class="megalinks"><a href="/calendar/mathcalendar.pl">Mathematics Calendar</a></li> <li class="megalinks"><a href="/short-course-general">Short Courses</a></li> <li class="megalinks"><a href="/workshops/chairsworkshop">Workshop for Department Chairs and Leaders</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader">Meetings Resources</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/lectures/suggestspeaker">Suggest a Speaker</a></li> <li class="megalinks"><a href="/meetings/meetings-grants">AMS Meetings Grants</a></li> <li class="megalinks"><a href="/abstracts/abstracts">Submitting Abstracts</a></li> <li class="megalinks"><a href="/policy-statements/welcoming-environment-policy">Welcoming Environment Policy</a></li> <li class="megalinks"><a href="https://mathsafe.org/mathsafe/mathsafe-home">MathSafe – supporting safe meetings</a></li> </ul> </section> </div> </div> </li> </ul> </li> <li class="dropdown yamm-fw"> <button style="border: none;" data-toggle="dropdown" class="dropdown-toggle megahead" aria-expanded="false">News & Outreach<b class="caret"></b></button> <ul class="dropdown-menu"> <li>  <div class="yamm-content"> <div class="row underline"> <h2 class="megaIntroHeader" aria-label="Jump to the News & Outreach homepage"><a href="/publicoutreach"><i class="fa-duotone fa-house" aria-hidden="true"></i> News & Outreach Home</a> <small><em>— Explore news, images, posters, and mathematical essays</em></small></h2> </div> <div class="row"> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/news">News from the AMS</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/news?class_id=1&expand=1&type=news">AMS News Releases</a></li> <li class="megalinks"><a href="/publicoutreach/featurestories">Feature Stories</a></li> <li class="megalinks"><a href="/media-info/info-for-journalists">Information for Journalists</a></li> <li class="megalinks"><a href="/publicoutreach/in-memory/in-memory">In Memory Of</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="https://mathvoices.ams.org/">Math Voices</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="https://mathvoices.ams.org/featurecolumn/">Feature Column</a></li> <li class="megalinks"><a href="https://mathvoices.ams.org/mathmedia/">Math in the Media</a></li> <li class="megalinks"><a href="https://mathvoices.ams.org/teachingandlearning/">Column on Teaching and Learning</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader">Explorations</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/about-us/edi-community">Recognizing Diverse Mathematicians</a></li> <li class="megalinks"><a href="/posters">AMS Posters</a></li> <li class="megalinks"><a href="/publicoutreach/math-and-music">Mathematics & Music</a></li> <li class="megalinks"><a href="/math-imagery/math-imagery">Mathematical Imagery</a></li> <li class="megalinks"><a href="/mathmoments/mathmoments">Mathematical Moments</a></li> </ul> </section>  </div> </div> </li> </ul> </li> <li class="dropdown yamm-fw"> <button style="border: none;" data-toggle="dropdown" class="dropdown-toggle megahead" aria-expanded="false">Grants & Awards<b class="caret"></b></button> <ul class="dropdown-menu"> <li>  <div class="yamm-content"> <div class="row underline"> <h2 class="megaIntroHeader" aria-label="Jump to the Grants & Awards Home homepage"><a href="/grants-awards"><i class="fa-duotone fa-house" aria-hidden="true"></i> Grants & Awards Home</a> <small><em>— Resources and opport unities to further your mathematical pursuits</em></small></h2> </div> <div class="row"> <section class="col-md-4"> <h3 class="megalinksHeader">Grants</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/travel-grants"> Research & Travel Grants</a></li> <li class="megalinks"><a href="/meetings-child-care-grants"> Child Care Grants for Meetings</a></li> <li class="megalinks"><a href="/emp-epsilon"> Young Scholars Program Grants </a></li> </ul> </section> <section class="col-md-4"> <h3 class="megalinksHeader">Honors & Awards</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/prizes-awards/palist.cgi">Prizes & Awards</a></li> <li class="megalinks"><a href="/ams-fellows"> Fellows of the AMS</a></li> </ul> </section> <section class="col-md-4"> <h3 class="megalinksHeader"><a href="/ams-fellowships"> AMS Fellowships</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/bergman-fellow">Stefan Bergman Fellowship</a></li> <li class="megalinks"><a href="/Birman-fellow"> Birman Fellowship for Women Scholars</a></li> <li class="megalinks"><a href="/emp-centflyer"> Centennial Fellowship</a></li> <li class="megalinks"><a href="/Claytor-Gilmer"> Claytor-Gilmer Fellowship</a></li> </ul> </section>  </div> </div> </li> </ul> </li> <li class="dropdown yamm-fw"> <button style="border: none;" data-toggle="dropdown" class="dropdown-toggle megahead" aria-expanded="false">Learning & Careers<b class="caret"></b></button> <ul class="dropdown-menu"> <li>  <div class="yamm-content"> <div class="row underline"> <h2 class="megaIntroHeader" aria-label="Jump to the Learning and Careers homepage"><a href="/learning-careers"><i class="fa-duotone fa-house" aria-hidden="true"></i> Learning & Careers Home</a> <small><em>— Resources to support advanced mathematics teaching and learning</em></small></h2> </div> <div class="row"> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/students">For Students</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/high-school">High School</a></li> <li class="megalinks"><a href="/undergraduate"> Undergraduate</a></li> <li class="megalinks"><a href="/graduate"> Graduate</a></li> <li class="megalinks"><a href="/find-graduate-programs"> Find Graduate Programs</a></li> <li class="megalinks"><a href="/emp-reu">Research Experience for Undergraduates (REUs)</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/leaders">For Faculty & Leaders</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/chairsworkshop"> Department Chairs Workshop</a></li> <li class="megalinks"><a href="https://mathvoices.ams.org/teachingandlearning/"> Column on Teaching & Learning</a></li> <li class="megalinks"><a href="https://mathvoices.ams.org/mathmedia/"> Math in the Media</a></li> <li class="megalinks"><a href="/emp-survey"> Salary & Departmental Data</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader">Jobs</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/employment-services"> Employment Services</a></li> <li class="megalinks"><a href="https://www.mathjobs.org/"> MathJobs</a></li> <li class="megalinks"><a href="/begin/"> BEGIN Careers</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/profdev">Professional Development</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/mrc"> Mathematics Research Communities</a></li> <li class="megalinks"><a href="/opportunities"> Mathematical Opportunities Listing</a></li> <li class="megalinks"><a href="https://www.mathprograms.org/"> MathPrograms</a></li> </ul> </section> </div> </div> </li> </ul> </li>  <li class="dropdown yamm-fw"> <button style="border: none;" data-toggle="dropdown" class="dropdown-toggle megahead" aria-expanded="false">Government Relations<b class="caret"></b></button> <ul class="dropdown-menu"> <li>  <div class="yamm-content"> <div class="row underline"> <h2 class="megaIntroHeader" aria-label="Jump to the Government Relations homepage"><a href="/government"><i class="fa-duotone fa-house" aria-hidden="true"></i> Government Relations Home</a> <small><em>— Advocating for the mathematical sciences</em></small></h2> </div> <div class="row"> <section class="col-md-3"> <h3 class="megalinksHeader">Elevating Mathematics in Congress</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/government/dc-mission">Our Mission</a></li> <li class="megalinks"><a href="/government/letters-statements-legislation">Letters, Statements, & Legislation</a></li> <li class="megalinks"><a href="/government/dc-outreach">Congressional Briefings</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader">Legislative Priorities</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/government/dc-issues">Federal Issues of Concern</a> </li> <li class="megalinks"><a href="/government/dc-budgetprimer">Federal Budget Process</a> </li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader">Get Involved</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/government/dc-prepare">Advocacy Resources</a> </li> <li class="megalinks"><a href="/government/getinvolved-dc#/">Take Action</a> </li> <li class="megalinks"><a href="/government/Contact-Us">Contact Us</a> </li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader">DC-Based Fellowships</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/programs/ams-fellowships/ams-congressional-fellowship">Congressional Fellowship</a> </li> <li class="megalinks"><a href="/programs/ams-fellowships/media-fellow/massmediafellow">Mass Media Fellowship</a> </li> <li class="megalinks"><a href="/government/dc-case-fellowship">Catalyzing Advocacy in Science & Engineering (CASE) Fellowship</a></li> </ul> </section> <section class="col-md-3"> </section> </div> </div> </li> </ul> </li> <li class="dropdown yamm-fw"> <button style="border: none;" data-toggle="dropdown" class="dropdown-toggle megahead" aria-expanded="false">Giving<b class="caret"></b></button> <ul class="dropdown-menu"> <li>  <div class="yamm-content"> <div class="row underline"> <h2 class="megaIntroHeader" aria-label="Jump to the Development homepage"><a href="/support-ams"><i class="fa-duotone fa-house" aria-hidden="true"></i> Giving to the AMS</a> <small> — <em>Your gifts make great things happen for mathematics</em></small>   <a href="https://ebus.ams.org/ebus/Giving/MakeAGift.aspx?_ga=2.126038349.1919342640.1572527963-117346980.1572527963"> <button type="button" class="btn btn-sm btn-success btn-xs">Make a Gift</button> </a> </h2> </div> <div class="row"> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/giving_op">What You Can Support</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/giving/2020Fund">The 2020 Fund</a></li> <li class="megalinks"><a href="/giving/nextgen">Next Generation Fund </a></li> <li class="megalinks"><a href="/giving_op/birman-fellowship-fund">Birman Fellowship for Women Scholars</a></li> <li class="megalinks"><a href="/child-care-grants">JMM Child Care Grants</a></li> <li class="megalinks"><a href="/giving_op/support-mrc">Mathematics Research Communities </a></li> <li class="megalinks"><a href="/giving_op/mdc">MathSciNet for Developing Countries</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/create-a-legacy">Create a Legacy</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/ways-to-give/in-honor-of">Make a Tribute Gift</a></li> <li class="megalinks"><a href="/ways-to-give/named-endowed-funds">Create a Permanent Fund</a></li> <li class="megalinks"><a href="/ways-to-give/establish-prize-award">Establish a Prize, Award or Fellowship</a></li> <li class="megalinks"><a href="/ways-to-give/including-the-ams-in-your-will">Bequests and Charitable Estate Planning</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/honoring">Honoring Your Gift</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/giving/donorstories">Donor Stories</a></li> <li class="megalinks"><a href="/honoring/donor-wall">Donor Wall of Honor</a></li> <li class="megalinks"><a href="/honoring/fiske-society">Thomas S. Fiske Society</a></li> <li class="megalinks"><a href="/honoring/gift-society">AMS Contributors Society</a></li> <li class="megalinks"><a href="/honoring/ams-gardens">AMS Gardens</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/giving-resources">Giving Resources</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/committees/comm-all.html#DEVELOP">AMS Development Committee</a></li> <li class="megalinks"><a href="/development-office/giftacceptance">AMS Gift Acceptance Policy</a></li> <li class="megalinks"><a href="/giving/contactus">Contact Us</a></li> </ul> </section> </div> </div> </li> </ul> </li> <li class="dropdown yamm-fw"> <button style="border: none;" data-toggle="dropdown" class="dropdown-toggle megahead" aria-expanded="false">About the AMS<b class="caret"></b></button> <ul class="dropdown-menu"> <li>  <div class="yamm-content"> <div class="row underline"> <h2 class="megaIntroHeader" aria-label="Jump to the About Us homepage"><a href="/about"><i class="fa-duotone fa-house" aria-hidden="true"></i> About the AMS</a> <small><em>— Advancing research. Connecting the mathematics community.</em></small></h2> </div> <div class="row"> <section class="col-md-3"> <h3 class="megalinksHeader">Our Organization</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/executive-staff/exec-staff">Executive Staff</a></li> <li class="megalinks"><a href="/about-us/diversity">Equity, Diversity, & Inclusion</a></li> <li class="megalinks"><a href="/ams-jobs/ams-jobs">Jobs at AMS</a></li> <li class="megalinks"><a href="/reach">Contact Us</a></li> <li class="megalinks"><a href="/custserv">Customer Service</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader"><a href="/governance/governance">Our Governance</a></h3> <ul class="list-unstyled"> <li class="megalinks"><a href="officers/officers">Officers</a></li> <li class="megalinks"><a href="/member-board">Board of Trustees</a></li> <li class="megalinks"><a href="/member-council">Council</a></li> <li class="megalinks"><a href="/governance/exec-comm/ec">Executive Committee </a></li> <li class="megalinks"><a href="/presidents/presidents">Presidents</a></li> <li class="megalinks"><a href="/committees/gov-committees">Committees</a></li> </ul> </section> <section class="col-md-3"> <h3 class="megalinksHeader">Governance Operations</h3> <ul class="list-unstyled"> <li class="megalinks"><a href="/bylaws/bylaws">By-Laws</a></li> <li class="megalinks"><a href="/elections/election-info">Elections</a></li> <li class="megalinks"><a href="/governance/sec-governancemeetings">Calendar of Meetings</a></li> <li class="megalinks"><a href="/sec-ams-policystatements">Policy Statements & Guidelines</a></li> </ul> </section> <section class="col-md-3"> </section> </div> </div> </li> </ul> </li> </ul> </section>    </div> </div> </div> <main class="container-fluid gutters" id="main-content">  <div class="row"> <script> if (window.addEventListener) window.addEventListener('load', showAlert, false); else if (window.attachEvent) window.attachEvent('onload', showAlert); function showAlert() { //Enter the start & end dates & times you would want the message to appear by modifying the startTime and endTime variables below using this format //new Date(YYYY, MM, DD, HH, MM, SS, 0) //Note that for MM //January is 00, //February is 01, //March is 02, //April is 03, //May is 04, //June is 05, //July is 06, //August is 07, //Sept is 08, //Oct is 09, //Nov is 10, //Dec is 11, var startTime = new Date(2024, 10, 29, 01, 00, 00, 00); var endTime = new Date(2024, 11, 01, 08, 00, 00, 00); var timeNow = new Date(); var x = document.getElementById('alertDiv'); if (x && timeNow > startTime && timeNow < endTime) { x.style.display = "inline-block"; } } </script> <div class="alert alert-dismissible alert-info alert-primary alertDiv col-md-12" id="alertDiv" role="alert" style="display:none;"><button aria-label="Close" class="close btn-close" data-bs-dismiss="alert" type="button"><span aria-hidden="true">×</span></button><h4 class="text-center"><a class="alert-link" href="https://www.ams.org/membership/ams-day"><i class="fa-sharp fa-solid fa-bell"></i><span style="font-size: 16px;">  AMS members, we celebrate you on AMS Day! Check out the exclusive offers available December 2, 12 a.m. - 11:59 p.m. ET!</span></a></h4> </div>  </div> <br>   <div class="row breadcrumbrow hidden-print" id="top"> <div class="col-md-10"><nav id="breadcrumb" aria-label="breadcrumb"> <a href="/" onclick="_gaq.push(['_trackEvent','Breadcrumb', 'Home', location.pathname]);">Home</a> &rsaquo; AMS eBooks: Contemporary Mathematics </nav> </div> <div class="col-md-2"> </div> </div> <div class="clearfix"><br></div>  <div class="row">  <nav class="col-xs-12 col-md-2"> <ul class="list-group"> <li class="list-group-item visible-xs visible-sm"><a href="#content">Jump to content <i class="fa-solid fa-down"></i></a></li> <li class="list-group-item"><a href="/publications/ebooks/ebooks"><i class="fa fa-home" aria-hidden="true"></i> eBook Collections Home</a></li> <li class="list-group-item"><a href="/bookshelf">My Holdings <i class="fa-thin fa-books"></i></a></li> <span id='amsPairingInfoSection' class='currentPairingInfo'> <span id='currentAmsPairingInfo' style='display:none;'> <br />Your device is paired with <span name='amsInstitutionName'></span><br />for another <span name="amsPairingDaysLeft"></span> days. </span> </span> <li class="list-group-item"><a href="/pairing/pair_my_device.html">Activate Remote Access <i class="fa-thin fa-laptop-file"></i></a></li> <li class="list-group-item"><a href="/publications/ebooks/proccoll">Proceedings</a></li> <li class="list-group-item"><a href="/publications/ebooks/emonographs">Monographs</a></li> <li class="list-group-item"><a href="/publications/ebooks/amsmaa">AMS/MAA Series</a></li> <li class="list-group-item"><a href="/publications/ebooks/memoirs">Memoirs</a></li> <li class="list-group-item"><a href="/epubsearch/">Search eContent</a></li> <li class="list-group-item"><a href="/publications/ebooks/marc/">MARC Records</a></li> <li class="list-group-item"><a href="/publications/ebooks/hto-ebooks">How to Order</a></li> <li class="list-group-item"><a href="/publications/ebooks/terms/">Terms of Use</a></li> <li class="list-group-item"><a href="/publications/license/ebooks-license.pdf">License Agreement <i class="fa-light fa-file-pdf"></i></a></li> <li class="list-group-item"><a href="/bookstore/">AMS Bookstore</a></li> <li class="list-group-item"><img src="/images/mathJaxPower.jpg" alt="Powered by MathJax" class="center-block" /></li> </ul> </nav>  <div class="col-xs-12 col-md-10"> <div class="amsprintlogo visible-print-block"> <img src="https://www.ams.org/images/amsprintlogo.png" alt="American Mathematical Society" class="logoproper" /> </div> <section> <header class="bannerbox"> <img class="img-responsive hidden-sm hidden-xs" src="/images/ebook-collections-secondary-banner.png" width="1500" height="300" alt="AMS eBooks" /> <h1 class="img-title" id="content"><span>AMS eBook Collections</span><span>One of the world's most respected mathematical collections, available in digital format for your library or institution</span></h1> </header> <div class="clearfix"><br></div> <script src="/journals/javascript/references.js" type="text/javascript"></script> <script async src="/js/mj.js"></script> <h1>Around Langlands Correspondences</h1> <h3>About this Title</h3> <p><strong>Farrell Brumley</strong>, <em>Université Paris 13, Villetaneuse, France</em>, <strong>Maria Paula Gómez Aparicio</strong>, <em>Université Paris-Sud 11, Orsay, France</em> and <strong>Alberto Mínguez</strong>, <em>Université Pierre et Marie Curie, Paris, France</em>, Editors</p> <p> Publication: Contemporary Mathematics<br /> Publication Year: <a href="/books/conm/year/2017">2017</a>; Volume 691<br /> ISBNs: 978-1-4704-3573-8 (print); 978-1-4704-4117-3 (online)<br /> DOI: https://doi.org/10.1090/conm/691<script type='text/javascript'> $.ajax({async: true, format: 'json', success: bkstore_link_success, error: bkstore_link_error, dataType: 'json', data: {product_code: 'CONM/691', check_stripped: '1'}, method: 'GET', url: '/cgi-bin/tizra/tizra_id_from_product_code', }); function bkstore_link_success(result, status, xhr) { if (result.tizra_id && result.base_product_code) { // alert(result.tizra_id); var buyBookDiv = document.getElementById('buy_in_amsbookstore_div'); var pars = buyBookDiv.getElementsByTagName('p'); var p; var customUrl = result.base_product_code.toLowerCase(); customUrl = customUrl.replace(/\/|\./g, '-'); if (pars.length > 0) { p = pars[0]; } else { p = document.createElement('p'); buyBookDiv.appendChild(p); } var s = 'Individuals and AMS Members may purchase this title '+ 'on the AMS bookstore: '+ '<a href="http://bookstore.ams.org/'+customUrl+'">'+ '<img src="/images/buttons/buy-now-a.png" /></a>'; p.innerHTML = s; } else if (result.error) { // Do nothing. This means we shouldn't display the link. // In development, we might want to display the error: if (false) alert('Error: '+result.error); } else { // do nothing? } } function bkstore_link_error(xhr, textStatus, errorThrown) { // We just do nothing if the ajax call fails. // If we want to test in development, can do something like: if (false) alert('status: '+textStatus+'\nerror: '+errorThrown); } </script> <div id='buy_in_amsbookstore_div'> </div> <p><img alt="PDF" width="15px" src="https://www.ams.org/images/ePubPDFimage.png"/> <strong><a href="conm691.pdf">View full volume as PDF</a></strong></p> <p><a id = "displayText" href="javascript:toggle();">Read more about this volume</a></p> <div id="toggleText" style="display: none"> <p> This volume contains the proceedings of the international conference “Around Langlands Correspondences”, held from June 17–20, 2015, at Université Paris Sud in Orsay, France.</p> <p>The Langlands correspondence (nowadays called the usual Langlands correspondence), conjectured by Robert Langlands in the late 1960s and early 1970s, has recently seen some new mysterious generalizations: the modular Langlands correspondence, the $p$-adic Langlands correspondence, and the geometric Langlands correspondence, the last of which seems to share deep connections with the Baum-Connes conjecture.</p> <p>The aim of this volume is to present, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program. Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers.</p> <p><img src="/images/ver_arrow.gif" alt="" hspace="3" border="0" />Readership</p> <p>Graduate students and research mathematicians interested in automorphic forms, representation theory, and the Langlands program.</p> </div> <script src="/books/javascript/nav_all.js" type="text/javascript"></script> <form action="" method="post" name="load_alternate"> <p><strong>View other years and volumes:</strong> <script type="text/javascript"> ebook_all_years_menu("conm", "2017"); ebook_volume_menu("conm", "2017" , 691 ); </script> <input type="text" placeholder="Or type in a volume" name="volText" id="volText" /> <input type="button" name="button" id="button" value="Submit" onclick="location = load_ebook_volume('conm', document.load_alternate.volText.value);" /> </form> <h3>Table of Contents</h3> <p><img alt="PDF" width="15px" src="https://www.ams.org/images/ePubPDFimage.png"/> <strong>Download chapters as PDF</strong></p> <p><strong>Front/Back Matter</strong></p> <ul class="pdfIcon"> <li><a href="conm691-endmatter.pdf">View this volume's front and back matter</a></li> </ul> <p><strong>Articles</strong></p> <ul class='pdfIcon'> <li>Noriyuki Abe – <a name = "13891" href = "13891">Change of weight theorem for pro-$p$-Iwahori Hecke algebras </a> </li> <li>Anne-Marie Aubert, Paul Baum, Roger Plymen and Maarten Solleveld – <a name = "13892" href = "13892">Conjectures about $p$-adic groups and their noncommutative geometry </a> </li> <li>Indira Chatterji – <a name = "13893" href = "13893">Introduction to the Rapid Decay property </a> </li> <li>Tyrone Crisp and Nigel Higson – <a name = "13894" href = "13894">A second adjoint theorem for ${SL(2,\mathbb {R})}$ </a> </li> <li>Jean-François Dat – <a name = "13895" href = "13895">A functoriality principle for blocks of $p$-adic linear groups </a> </li> <li>Agnès David – <a name = "13896" href = "13896">Poids de Serre dans la conjecture de Breuil–Mézard </a> </li> <li>Naoki Imai and Takahiro Tsushima – <a name = "13897" href = "13897">Affinoids in Lubin-Tate surfaces with exponential full level two </a> </li> <li>Jie Lin – <a name = "13898" href = "13898">An automorphic variant of a conjecture of Deligne </a> </li> <li>Colette Moeglin and David Renard – <a name = "13899" href = "13899">Paquets d’Arthur des groupes classiques complexes </a> </li> <li>Ahmed Moussaoui – <a name = "13900" href = "13900">Proof of the Aubert-Baum-Plymen-Solleveld conjecture for split classical groups </a> </li> <li>Enno Nagel – <a name = "13901" href = "13901">From crystalline to unitary representations </a> </li> <li>Alexander Stasinski – <a name = "13902" href = "13902">Representations of $\mathrm {GL}_N$ over finite local principal ideal rings: An overview </a> </li> <li>Julianna Tymoczko – <a name = "13903" href = "13903">The geometry and combinatorics of Springer fibers </a> </li></ul> </section> </div>  </div> </main> <hr class="mx-auto"> <footer id="pagefooter" class="text-center"> <div class="container text-center"> <div class="row">  <div class="col-12 mb-1"> <p> American Mathematical Society · <a href="https://goo.gl/maps/ZvJdkQEC79p" title="Google map 201 Charles Street Providence, Rhode Island" aria-label="Google map to AMS headquarters"> 201 Charles Street Providence, Rhode Island 02904-2213 </a> · <a href="/reach" aria-label="Contact Us">Contact Us</a> </p> </div>  <script src="https://kit.fontawesome.com/2ad6d7fbd6.js" crossorigin="anonymous" defer></script>  <nav class="col-12 mb-1" aria-label="Social media links"> <ul class="list-inline"> <li class="list-inline-item"> <a href="https://www.facebook.com/amermathsoc" class="link-dark" title="Follow us on Facebook" aria-label="View the AMS on Facebook"> <i class="fa-brands fa-facebook-f" aria-hidden="true"></i></a></li> <li class="list-inline-item"> <a href="https://twitter.com/amermathsoc" class="link-dark" title="Follow us on X" aria-label="View the AMS on X"> <i class="fa-brands fa-x-twitter" aria-hidden="true"></i></a></li> <li class="list-inline-item"> <a href="https://www.linkedin.com/company/51001" class="link-dark" title="Follow us on LinkedIn" aria-label="View the AMS on LinkedIn"> <i class="fa-brands fa-linkedin-in" aria-hidden="true"></i></a></li> <li class="list-inline-item"> <a href="https://www.instagram.com/amermathsoc" class="link-dark" title="Follow us on Instagram" aria-label="View the AMS on Instagram"> <i class="fa-brands fa-instagram" aria-hidden="true"></i></a></li> <li class="list-inline-item"> <a href="https://www.youtube.com/amermathsoc" class="link-dark" title="Follow us on YouTube" aria-label="View the AMS on YouTube"> <i class="fa-brands fa-youtube" aria-hidden="true"></i></a></li> </ul> </nav>  <div class="col-12"> <p><small> © <a href="/copyright" aria-label="Copyright policy">Copyright</a> <span id="copyYear">2024</span> American Mathematical Society · <a href="/privacy" aria-label="Privacy statement">View Our Privacy Statement</a> · <a href="/tou" aria-label="Terms of use">Terms of Use</a> · <a href="/accessibility" aria-label="Accessibility policy">Accessibility and AMS Online Content</a> </small></p> <p><small> AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and service marks of the American Mathematical Society and registered in the U.S. Patent and Trademark Office. </small></p> </div> </div> </div> <script> // Dynamically update the copyright year document.getElementById('copyYear').textContent = new Date().getFullYear(); </script> </footer>

CINXE.COM

AMS eBooks: Contemporary Mathematics