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# Events for 02/08/2019 from all calendars

## Working Seminar on Quantum Groups

## Combinatorial Algebraic Geometry

## Algebra and Combinatorics Seminar

## Linear Analysis Seminar

**Time:** 10:30AM - 12:30PM

**Location:** BLOC 624

**Speaker:** John Weeks, TAMU

**Title:** *Representations of compact quantum groups*

**Time:** 11:00AM - 11:00AM

**Location:** Bloc 605AX

**Speaker:** Thomas Yahl, Texas A&M University

**Title:** *Galois Groups of Systems of Polynomial Equations*

**Abstract:** A naive definition extending the notion of a Galois group to a system of polynomial equations often agrees with a geometric notion of a monodromy group. We will discuss these two groups associated to systems as well as their computation. It is an open problem to determine when these groups agree.

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

**Location:** BLOC 628

**Speaker:** Sarah Witherspoon, TAMU

**Title:** *Hopf algebras and the cohomological finite generation conjecture*

**Abstract:** A powerful tool for understanding representations of finite groups is group cohomology. One reason why it is so powerful is that the group cohomology ring is finitely generated and graded commutative, thus pointing to geometric methods. Hopf algebras generalize groups and include many important classes of algebras such as Lie algebras and quantum groups. Their cohomology rings are known to be graded commutative, and it is conjectured that they are finitely generated whenever the Hopf algebra is finite dimensional.

In this introductory talk, we will define Hopf algebras, their cohomology rings, and mention their uses in representation theory. We will discuss Hopf algebras for which the conjecture has been proven and those for which it has not, including recent and ongoing research.

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

**Location:** BLOC 220

**Speaker:** Michiya Mori, University of Tokyo

**Title:** *Isometries between substructures of operator algebras*

**Abstract:** In 1951, Kadison proved that every unital linear surjective isometry between two unital C*-algebras is a Jordan *-isomorphism. In this talk, I will survey some recent results on isometries between operator algebras. We give the general form of surjective isometries between unit spheres of two C*-algebras and between projection lattices of two von Neumann algebras. This is partly a joint work with Narutaka Ozawa.

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