Events for 02/08/2019 from all calendars

Working Seminar on Quantum Groups

Time: 10:30AM - 12:00PM

Location: BLOC 624

Speaker: John Weeks, TAMU

Title: Representations of compact quantum groups

Combinatorial Algebraic Geometry

Time: 11:00AM - 11:50AM

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.

Algebra and Combinatorics Seminar

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.

Linear Analysis Seminar

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.