# Events for 12/05/2018 from all calendars

## Noncommutative Geometry Seminar

**Time:** 2:00PM - 3:00PM

**Location:** BLOC 628

**Speaker:** Jeffrey Kuan, Texas A&M University

**Title:** *Noncommutative random walks on the dual of gl_n*

**Abstract:** We construct two noncommutative versions of random walks on the dual of gl_n. The observables are elements of the universal enveloping algebra U(gl_n) [in the first construction] and of the quantum group U_q(gl_n) [in the second construction]. We take asymptotics to find two different generalizations of the two--dimensional Gaussian free field.

## Algebra and Combinatorics Seminar

**Time:** 3:00PM - 4:00PM

**Location:** BLOC 628

**Speaker:** Yeong-Nan Yeh, Institute of Mathematics, Academia Sinica

**Title:** *γ-Minimal parking functions and permutation statistics*

**Abstract:** In this talk, given a choice function γ, we will introduce the concept of γ-minimal parking functions, discuss properties of γ-minimal parking functions and study some permutation statistics from the point of view of γ-minimal parking functions. In particular, for some choice functions γ, we will characterize γ-minimal parking functions. We will also discuss a family of bijections from the set of γ-minimal parking functions of length n to the set of permutations of {1, 2,…, n}. We define some permutation statistics via γ-minimal parking functions, derive the recurrent relations of the generating functions for these statistics and show that several statistics are Mahonian.

## Colloquium - Daniel Le

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 220

**Speaker:** Daniel Le, University of Toronto

**Description:** **Title:** Congruences in Langlands reciprocity

**Abstract:** We'll introduce the notion of Langlands reciprocity through its connections to counting problems in modular arithmetic. We'll then discuss some modern geometric approaches to these questions using congruences of a different nature.