Events for 02/22/2017 from all calendars
Fatma Terzioglu, dissertation defense
Time: 11:00AM - 1:00PM
Location: Blocker 628
Speaker: Fatma Terzioglu
Number Theory Seminar
Time: 1:45PM - 2:45PM
Location: BLOC 220
Speaker: Adrian Barquero-Sanchez, Universidad de Costa Rica
Title: The Chowla-Selberg formula for CM abelian surfaces
Abstract: In the 80's Deligne gave a geometric reformulation of the classical Chowla-Selberg formula as an identity expressing the Faltings height of a CM elliptic curve in terms of values of Euler's Gamma function at rational arguments. In this talk I will sketch a proof of a higher dimensional analogue of Deligne's formula, expressing the Faltings height of a CM abelian surface in terms of the Barnes double Gamma function at certain algebraic numbers. This is joint work with Riad Masri.
URL: Event link
Noncommutative Geometry Seminar
Time: 2:00PM - 2:50PM
Location: BLOC 628
Speaker: Thomas Sinclair, Purdue University
Title: (Colloquium Talk) Product rigidity results for group von Neumann algebras
Abstract: Given a locally compact second countable group G, the group von Neumann algebra L(G) is the algebra associated to the invariant subspace decomposition of the left regular representation. It is a natural, and quite difficult, question to address how much of the group structure is recoverable from L(G). That is if two groups have isomorphic group von Neumann algebras what algebraic structure do the groups have in common? In the case of infinite discrete groups, we will explain how if G is a direct product of "indecomposable" groups, such as nonabelian free groups or nonelementary hyperbolic groups, then the product structure can be fully recovered from L(G). This is joint work with Ionut Chifan and Rolando de Santiago.
Groups and Dynamics Seminar
Time: 3:00PM - 4:00PM
Location: BLOC 220
Speaker: Constantine Medynets, US Naval Academy
Title: Characters of Countable Groups and Ergodic Properties of Their Actions
Abstract: In the 1980s Vershik observed that given an extreme character chi -- satisfying certain conditions -- of the infinite symmetric group S(N) there is an ergodic action of S(N) on a standard measure (X,mu) such that chi(g)=mu(Fix(g)), where Fix(g) is the set of fixed points of the group element g. In this talk, we will discuss two classes of groups where extreme characters can be uniquely described as measures of fixed points of ergodic actions similarly to Vershik’s construction above. We will discuss the class of Higman-Thompson’s groups and the class of AF full groups associated with simple Bratteli diagrams. Note that in view of the Gelfand-Naimark-Segal construction the classification of characters is equivalent to the classification of the finite type von Neumann algebra representations of the group in question.
First Year Graduate Student Seminar
Time: 5:30PM - 6:30PM
Location: BLOC 628
Speaker: Student Panel
Title: Panel discussion on choosing an advisor