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Analysis&id=&tba='>Participating Funct. Analysis Seminar</a></li><li class=''><a href='show_quarter.php?t=1740169305&type=Participating Number Theory&id=&tba='>Participating Number Theory Seminar</a></li><li class=''><a href='show_quarter.php?t=1740169305&type=Participating PDE&id=&tba='>Participating PDE Seminar</a></li><li class=''><a href='show_quarter.php?t=1740169305&type=Participating Probability&id=&tba='>Participating Probability Seminar</a></li><li class=''><a href='show_quarter.php?t=1740169305&type=Participating Topology&id=&tba='>Participating Topology Seminar</a></li><li class=''><a href='show_quarter.php?t=1740169305&type=Probability&id=&tba='>Probability Seminar</a></li><li class=''><a href='show_quarter.php?t=1740169305&type=Student Groups&id=&tba='>Student Groups</a></li><li class=''><a href='show_quarter.php?t=1740169305&type=The Level Set Collective&id=&tba='>The Level Set Collective</a></li><li class=''><a href='show_quarter.php?t=1740169305&type=Topology&id=&tba='>Topology Seminar</a></li><li class=''><a href='show_quarter.php?t=1740169305&type=Undergraduate Colloquium&id=&tba='>Undergraduate Colloquium</a></li><li id='edit'><a href='/seminars/weekly_list.php?edit=true'>Event Editor</a></li></ul><div class='searchbox'> <form method='get' action='search.php'><input type='text' name='search_string' size=15><br><input type='hidden' name='edit' value=''><input type='submit' value='Search Calendar'></form></div></div></div></div></div></td><div class='span8'><div class='title'><h2>EVENTS FOR THE WEEK OF FEBRUARY 17, 2025</h2></div><table class='eventsList'><tr class='dayName'> <td colspan=3>Monday, Feb 17</td></tr><tr class='event'><td> </td><td>No events</td><td></td></tr><tr class='dayName'> <td colspan=3>Tuesday, Feb 18</td></tr><tr class='event'><td> </td><td>No events</td><td></td></tr><tr class='dayName'> <td colspan=3>Wednesday, Feb 19</td></tr><tr class='eventOdd'><td class='hhmm'>13:00-13:50</td><td colspan=2 class='name'><a href='display.php?&id=838982'>Participating Analysis Seminar</a> (MS 6627) </td></tr><tr class='eventLine2Odd'><td></td> <td class='speaker'>Siddharth Mulherkar (UCLA)</td><td class='title'><a href="javascript:showAbstract('838982')"><span class='title'>The Disk Multiplier Problem</span></a></td></tr><tr class='abstract'><td class='abstract' colspan=3><div class='abstract' style='display: none' id='838982'><b>Abstract.</b> We give an overview of Fefferman&rsquo;s proof that the disk multiplier operator is unbounded on L_p (R^2) for p \neq 2. No specialized background in harmonic analysis will be assumed for this talk.<div style='text-align: right;'><a href="javascript:hideAbstract('838982')">Hide</a></div></td></tr><tr class='event'><td class='hhmm'>14:00-14:50</td><td colspan=2 class='name'><a href='display.php?&id=838967'>Algebra Seminar</a> (PAB 2434) </td></tr><tr class='eventLine2'><td></td> <td class='speaker'>Roman Krutowski (UCLA)</td><td class='title'><a href="javascript:showAbstract('838967')"><span class='title'>The geometry of cluster varieties </span></a></td></tr><tr class='abstract'><td class='abstract' colspan=3><div class='abstract' style='display: none' id='838967'><b>Abstract.</b> In this talk, we will follow the work of Gross-Hacking-Keel to give a geometric description of the X-cluster varieties as suitable blow-ups of toric varieties.<div style='text-align: right;'><a href="javascript:hideAbstract('838967')">Hide</a></div></td></tr><tr class='eventOdd'><td class='hhmm'>15:00-15:50</td><td colspan=2 class='name'><a href='display.php?&id=838984'>Algebra Seminar</a> (MS 5147) </td></tr><tr class='eventLine2Odd'><td></td> <td class='speaker'>Tom Han </td><td class='title'><a href="javascript:showAbstract('838984')"><span class='title'>The Bijective Proof of Alperin&#039;s Conjecture</span></a></td></tr><tr class='abstract'><td class='abstract' colspan=3><div class='abstract' style='display: none' id='838984'><b>Abstract.</b> We will review key concepts related to Tits Systems (also called (B,N)-pairs). The ultimate goal is to present the proof of Alperin&#039;s Conjecture for finite groups of Lie type in defining characteristic.<div style='text-align: right;'><a href="javascript:hideAbstract('838984')">Hide</a></div></td></tr><tr class='event'><td class='hhmm'>16:00-17:00</td><td colspan=2 class='name'><a href='display.php?&id=838975'>Topology Seminar</a> (Zoom) </td></tr><tr class='eventLine2'><td></td> <td class='speaker'>Yunze Lu (UCSD)</td><td class='title'><a href="javascript:showAbstract('838975')"><span class='title'>Section 7, Part I, of Burklund--Xu</span></a></td></tr><tr class='abstract'><td class='abstract' colspan=3><div class='abstract' style='display: none' id='838975'><b>Abstract.</b> https://ucsd.zoom.us/s/2088608488 <br><br> First part of Section 7 (power operation via synthetic perspective, Barratt--Jones--Mahowald&#039;s inductive approach)<div style='text-align: right;'><a href="javascript:hideAbstract('838975')">Hide</a></div></td></tr><tr class='eventOdd'><td class='hhmm'>16:00-16:50</td><td colspan=2 class='name'><a href='display.php?&id=838981'>Probability Seminar</a> (MS 5127) </td></tr><tr class='eventLine2Odd'><td></td> <td class='speaker'>Jonas K&ouml;ppl (WIAS Berlin)</td><td class='title'><a href="javascript:showAbstract('838981')"><span class='title'>Spontaneous time-symmetry breaking in interacting particle systems</span></a></td></tr><tr class='abstract'><td class='abstract' colspan=3><div class='abstract' style='display: none' id='838981'><b>Abstract.</b> We study the long-time behaviour of interacting particle systems on the integer lattice $\mathbb{Z}^d$ with a focus on symmetries. In particular, we are interested in spontaneous symmetry breaking, i.e., situations where there are stationary measures that satisfy less symmetries than the transition rates themselves. Classical examples include the Glauber dynamics for the Ising model, where the global spin-flip symmetry is broken in dimensions $d\geq 2$ and the translation-symmetry is broken in dimension $d\geq3$. In this talk, we discuss the possibility of a spontaneous breaking of the time-symmetry, i.e., whether an interacting particle system with time-homogeneous rates can admit time-periodic behaviour. While this can easily be ruled out in finite volume, the situation is much more delicate in the thermodynamic limit. We provide a no-go theorem for short-range systems under the additional assumption of reversibility in $d=1,2$ and exhibit examples of non-degenerate interacting particle systems which do indeed exhibit spontaneous time-symmetry breaking.<div style='text-align: right;'><a href="javascript:hideAbstract('838981')">Hide</a></div></td></tr><tr class='dayName'> <td colspan=3>Thursday, Feb 20</td></tr><tr class='eventOdd'><td class='hhmm'>11:00-11:50</td><td colspan=2 class='name'><a href='display.php?&id=838987'>Financial and Actuarial Mathematics Seminar</a> (https://ucla.zoom.us/j/95287241977) </td></tr><tr class='eventLine2Odd'><td></td> <td class='speaker'>Lionel Sopgoui (Universit&eacute; de Paris &amp; Imperial College London)</td><td class='title'><a href="javascript:showAbstract('838987')"><span class='title'>Pricing and hedging of climate transition risk in Credit Portfolio</span></a></td></tr><tr class='abstract'><td class='abstract' colspan=3><div class='abstract' style='display: none' id='838987'><b>Abstract.</b> The objective of this work is to quantify the impact of climate transition on credit portfolios. It is specifically about calculating, when introducing the carbon price into an economy, the distortions in the risk measures of a credit portfolio. They are contracted by firms belonging to an economy divided in sectors, driven by a dynamic and stochastic productivity (modelled as a vector autoregressive process or a multidimensional Ornstein-Uhlenbeck process), and subject to climate transition modeled using a dynamic and deterministic process representing the carbon price. The main contribution of our approach is that we propose an end-to-end methodology, starting from a transition scenario modeled by the carbon price, to the impact on different credit risk measures. It is divided into three parts. In the first part, we model the economic environment in which the companies of a portfolio of credits, all assumed unsecured, operate. In the second part, we use the Discounted Cash Flow (DCF) method to determine the value of firms operating in the previously described economy. We then use this value into a structural credit model. This allows us to calculate different risk measures of a credit portfolio: the probability of default of each firm, as well as the expected and unexpected losses. In the third part, the loans can be secured. Consequently, the risk measures also depend on the value of the collateral, which, like the lending companies, undergoes the climate transition. In this context, we propose modeling two examples of collateral: one financial asset and one real estate property.<div style='text-align: right;'><a href="javascript:hideAbstract('838987')">Hide</a></div></td></tr><tr class='event'><td class='hhmm'>17:15-18:15</td><td colspan=2 class='name'><a href='display.php?&id=838989'>GSO Seminar</a> (SMC) </td></tr><tr class='eventLine2'><td></td> <td class='speaker'>Zach Baugher </td><td class='title'><a href="javascript:showAbstract('838989')"><span class='title'>Perfect Harmony: Groups Acting on Chords</span></a></td></tr><tr class='abstract'><td class='abstract' colspan=3><div class='abstract' style='display: none' id='838989'><b>Abstract.</b> Can you hear the action of a group? In this talk I&rsquo;ll introduce two actions of the dihedral group&mdash;one more surprising than the other&mdash;that might convince you the answer is yes! After introducing the music terminology we&rsquo;ll need, I&rsquo;ll discuss these two group actions, how they relate to each other, and share examples. No music theory knowledge is required.<div style='text-align: right;'><a href="javascript:hideAbstract('838989')">Hide</a></div></td></tr><tr class='dayName'> <td colspan=3>Friday, Feb 21</td></tr><tr class='event'><td> </td><td>No events</td><td></td></tr></table><div class='navigation-bottom'><a href='/seminars/weekly_list.php?t=1739564505'>[Previous week]</a> <a href='/seminars/weekly_list.php?t=1740169305'>[Go to current week]</a> <a href='/seminars/weekly_list.php?t=1740774105'>[Next week]</a></div></div></td></tr><tr class='infty'><td></td></tr></table></td></tr></table><script type='text/javascript' src='lib/thielevision.js'></script><script type='text/javascript' src='lib/use_jsmath.js'></script></div></div></div>