Event Type
Seminar
Wednesday, May 26, 2021 2:00 PM
Nikolaos Zygouras

Seminar Website

I will describe how Whittaker functions related to both GLn(R) and SO2n+1(R) arise from a solvable random polymer model. The main tool towards this is A.N.Kirillov’s geometric lifting of the Robinson-Schensted-Knuth correspondence and certain variants of this, which include the geometric lifting of the Burge correspon- dence. A by-product of these studies is a combinatorial derivation of the Bump-Stade identities. In the core of this approach lies a volume preserving property of the geometric RSK and geometric Burge, which merits deeper investigation. This will be an overview of some works in collaboration with Bisi, O’Connell, Sepp ̈al ̈ainen.

Zoom link: https://stanford.zoom.us/j/91274693500?pwd=bmtHZnhTMG1HQ3pTOHYxUWJ2Z1ZjQT09
Zoom ID: 912 7469 3500
Password: 3628800 (= 10!).