Events for 01/28/2022 from all calendars

Working Seminar on Banach and Metric Spaces

Time: 10:00AM - 12:00PM

Location: BLOC 302

Speaker: Chris Gartland, Texas A&M University

Title: Differentiation of Lipschitz Functions on Metric Measure Spaces, part II

Noncommutative Geometry Seminar

Time: 2:00PM - 3:00PM

Location: ZOOM

Speaker: Yanli Song, Washington University in St. Louis

Title: K-theory of the reduced C*-algebra of a real reductive Lie group

Abstract: In 1987, Antony Wassermann announced a result of the structure of reduced C∗-algebra of a connected, linear real reductive group, up to Morita equivalence, and the verification of the Connes-Kasparov conjecture for these groups. In this talk, I will close a gap in the literature by providing the remaining details concerning the computation of the reduced C∗-algebra and discuss details of the C∗-algebraic Morita equivalence. In addition, I will also review the construction of the Connes-Kasparov morphism. The tool we used in the computation comes from David Vogan’s theory of minimal K-types. This is a joint work with Pierre Clare, Nigel Higson and Xiang Tang.

URL: Event link

Colloquium - Ying Anna Pun

Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: Ying Anna Pun, University of Virginia

Description:
Title: Symmetric functions -- a gem in algebraic combinatorics
Abstract: Algebraic combinatorics is a subject that interprets algebraic objects combinatorically and combinatorial objects algebraically, thereby obtaining deep connections between the two areas. The study of polynomial rings is one of the important topics in algebraic combinatorics, as the associated combinatorial tools provide profound connections with partitions of integers and the representation theory of the symmetric group, the general linear group, Lie algebra, Hecke algebras, elliptic Hall algebra, shuffle algebra and other important algebras. It also gives fruitful information on objects in algebraic geometry such as the multiplicative structure of the cohomology ring of the Grassmannian. In this talk, I will introduce the ring of symmetric functions and discuss some important bases and their associated combinatorial objects. I will then discuss some conjectures and theorems in algebraic combinatorics that are inspired by the Macdonald positivity conjecture and end with a brief introduction to Catalanimals, an exciting powerful tool to prove these theorems.