### Philadelphia Area Number Theory Seminar

Thursday, October 21, 2021 - 3:15pm

#### Will Grodzicki

Lafayette College

Originally developed independently by physicists (for use in statistical mechan- ics) and combinatorialists (to study alternating sign matrices), six-vertex models have recently found applications in probability and p-adic representation theory. In particular, there are six-vertex models whose partition functions evaluate to values various p-adic matrix coecients, e.g. Whittaker functions. In this talk, I will dis- cuss prospective lattice models whose partition functions appear to give type B/C Hall-Littlewood polynomials. This is ongoing joint work with Ben Brubaker and Andy Schultz.