Department of

Mathematics


Seminar Calendar
for events the day of Friday, October 25, 2019.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, October 25, 2019

2:00 pm in 347 Altgeld Hall,Friday, October 25, 2019

Noncommutative algebra from a geometric point of view

Xingting Wang (Howard University)

Abstract: In this talk, I will discuss how to use algebro-geometric and Poisson geometric methods to study the representation theory of 3-dimensional Sklyanin algebras, which are noncommutative analogues of polynomial algebras of three variables. The fundamental tools we are employing in this work include the noncommutative projective algebraic geometry developed by Artin-Schelter-Tate-Van den Bergh in 1990s and the theory of Poisson order axiomatized by Brown and Gordon in 2002, which is based on De Concini-Kac-Priocesiís earlier work on the applications of Poisson geometry in the representation theory of quantum groups at roots of unity. This is joint work with Milen Yakimov and Chelsea Walton.

3:00 pm in 341 Altgeld Hall,Friday, October 25, 2019

Continued Fractions and Ergodic theory

Maria Siskaki (UIUC Math)

Abstract: I will talk about how continued fractions arise. Continued fractions have had various applications in transcendental number theory and diophantine approximation . I will explain how tools from ergodic theory can be used to solve problems involving continued fractions. In particular, I will talk about the ergodic properties of the Gauss and Farey maps. The talk will be introductory.

4:00 pm in 141 Altgeld Hall,Friday, October 25, 2019

Geometry + Topology + Analysis + Algebra

Cameron Rudd (UIUC)

Abstract: Barring a last minute change of heart, this talk will be about analytic analogues of typical algebraic invariants of manifolds that have proven to be useful in understanding how geometric and topological features of aspherical Riemannian manifolds influence one another.

4:00 pm in 347 Altgeld Hall,Friday, October 25, 2019

Schubert Polynomials and Computational Complexity

Colleen Robichaux   [email] (UIUC Math)

Abstract: In this talk I will discuss recent work in Algebraic Combinatorics and how it relates to Computational Complexity. How do results in Computational Complexity influence work in Algebraic Combinatorics and vice versa? I will give introductions to both topics and discuss how they came together in joint work with Anshul Adve and Alexander Yong.

5:00 pm in 241 Altgeld Hall,Friday, October 25, 2019

Monotonicity of relative entropy

Xinan Chen (University of Illinois at Urbana-Champaign)

Abstract: Use Lieb's concavity theorem to show relative entropy is monotone decreasing under quantum channels. This is also known as data processing inequality (DPI). I will also present a short proof for subadditivity and strong subadditivity using DPI.