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Texas A&M University

Events for 12/05/2018 from all calendars

Noncommutative Geometry Seminar

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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

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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

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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.