Members Seminar

Representations of p-adic groups

Jessica Fintzen
University of Michigan
February 26, 2018

I will survey what is known about the construction of (the building blocks of) representations of p-adic groups, mention recent developments, and explain some of the concepts underlying all constructions. In particular, I will introduce filtrations of p-adic groups and indicate some of their remarkable properties.

Algebraic combinatorics: applications to statistical mechanics and complexity theory

Greta Panova
University of Pennsylvania; von Neumann Fellow, School of Mathematics
December 4, 2017
We will give a brief overview of the classical topics, problems and results in Algebraic Combinatorics. Emerging from the representation theory of $S_n$ and $GL_n$, they took a life on their own via the theory of symmetric functions and Young Tableaux and found applications into new fields. In particular, these objects can describe integrable lattice models in statistical mechanics like dimer covers on the hexagonal grid, aka lozenge tilings.