# 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.