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alt="Sorbonne Université" ></a> </div> </div> </header>  <hr id="ligne-header"> <div class="row" id="haut"> <div class="col-sm-10 offset-sm-1" > <p> <div class="wp-block-columns is-layout-flex wp-container-core-columns-is-layout-1 wp-block-columns-is-layout-flex"> <div class="wp-block-column is-layout-flow wp-block-column-is-layout-flow" style="flex-basis:33.33%"> <figure class="wp-block-image size-large is-resized"><img fetchpriority="high" decoding="async" src="https://www.imj-prg.fr/ao/wp-content/uploads/sites/5/2020/12/accueil.png" alt="" style="width:252px;height:309px" width="252" height="309"/></figure> </div> <div class="wp-block-column is-layout-flow wp-block-column-is-layout-flow" style="flex-basis:66.66%"> <h3 class="wp-block-heading">Equipe Algèbres d’Opérateurs</h3> <p><strong>Responsable d’équipe :</strong> <a href="http://webusers.imj-prg.fr/~romain.tessera/">Romain TESSERA</a><br><strong>Responsable adjoint :</strong> <a href="https://webusers.imj-prg.fr/~pierre.fima/">Pierre FIMA</a><br><strong>Gestionnaire :</strong> <a href="/equipe-administrative/">Claire LAVOLLAY</a></p> <p>Adresse postale :</p> <figure class="wp-block-table"><table><tbody><tr><td>IMJ-PRG – UMR7586<br>Université Paris Diderot<br>Boite Courrier 7012<br>Bâtiment Sophie Germain<br>7e étage<br>8 Place Aurélie Nemours,<br>75205 Paris Cedex 13</td></tr></tbody></table></figure> </div> </div> <h2 class="wp-block-heading">Présentation</h2> <p>Le projet Algèbres d’Opérateurs est historiquement le premier centre français dédié à l’étude et aux applications de la géométrie non commutative, développée par Alain Connes à la fin des années 1970. Il s’agit d’une équipe de référence au niveau national et mondial, qui joue un rôle essentiel dans l’essor, la dynamique et la structuration de cette discipline.</p> <p>Les objets, techniques et outils mathématiques utilisés sont extrêmement variés et sont issus de l’algèbre, de l’algèbre homologique, de l’analyse, de l’analyse fonctionnelle, de la géométrie différentielle et symplectique, de la K-théorie, de la théorie des représentations, de la topologie, de la théorie ergodique, de la théorie des modèles, …</p> <p>L’équipe développe ainsi de nombreuses thématiques autour des algèbres d’opérateurs et leurs applications :</p> <ul class="wp-block-list"> <li>théorie géométrique et mesurée des groupes (Fima, Le Maître, Tessera, Zuk)</li> <li>feuilletages, systèmes dynamiques, théorie de l’indice (Debord, Hilsum, Leichtnam, Ma, Perrot, Skandalis, Vassout)</li> <li>K-théorie, calcul pseudo-différentiel (Debord, Skandalis, Vassout)</li> <li>groupes et groupoïdes quantiques (Enock, Fima, Skandalis, Vallin)</li> <li>géométrie arithmétique, théorie des nombres (Leichtnam)</li> <li>théorie spectrale (Sahbani)</li> <li>théorie du potentiel (Sauvageot)</li> </ul> <p>L’équipe intègre également des groupes de recherche nationaux et européens :</p> <ul class="wp-block-list"> <li><a href="http://gdrgnc.math.cnrs.fr/">GDR Géométrie Non Commutative</a></li> <li><a href="https://www.lysm.eu/fr/a-propos">LIA Ypatia (LYSM)</a></li> <li><a href="http://poncelet.sciences.univ-metz.fr/~singstar/members.html">ANR SingStar</a></li> <li><a href="https://math.unice.fr/~indira/GAMMEf.html">ANR GAMME</a></li> </ul> </p> </div> </div> <div class="row"> <div class="col-sm-6 offset-sm-3" > <div class="actu"> <tr><td id="col-logo"> <div class='logo'> </div></td> <td><h3>Conférence d’algèbres d’opérateurs en mémoire d’Étienne Blanchard</h3> <p> <p>Une conférence en mémoire d’Étienne Blanchard aura lieu du 8 au 12 avril 2019 à l’IMJ-PRG. Toutes les infos sur <a href="https://indico.math.cnrs.fr/event/4214/">cette page</a>.</p> </p> <br> </div> </div> </div> <div class="myFooter"> <hr id="ligne-pied"> <div class="container"> <ul> <li><a href="http://intranet.imj-prg.fr">INTRANET</a></li> <li><a href="https://webmail.imj-prg.fr">WEBMAIL</a></li> <li><a href="https://www.imj-prg.fr/mentions-legales">MENTIONS LEGALES</a> </li></ul> <br> <p> © IMJ-PRG </p> </div> </div> <style id='core-block-supports-inline-css' type='text/css'> .wp-container-core-columns-is-layout-1{flex-wrap:nowrap;} </style> <script type="text/javascript" src="https://stackpath.bootstrapcdn.com/bootstrap/4.3.1/js/bootstrap.min.js?ver=1" id="boostrap-js-js"></script> <script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.4/MathJax.js?config=TeX-MML-AM_CHTML"> </script> </body> </html>