Seminars & Colloquia Calendar
Vertex Operators, Solvable Lattice Models and Metaplectic Whittaker Functions
Henrik Gustafsson, Stanford University
Location: Hill 423
Date & time: Friday, 07 December 2018 at 2:00PM - 3:00PM
- Abstract In this talk, based on joint work with Ben Brubaker, Valentin Buciumas and Daniel Bump, I will explain new connections relating metaplectic Whittaker functions and certain solvable lattice models with operators on a \(q\)-deformed fermionic Fock space. We will discuss the locality properties of these operators which agree with those of a \(q\)-deformed vertex operator algebra, and review the underlying quantum groups that are part of the above connections. In the process we also obtain a Fock space operator description of ribbon symmetric functions, or LLT polynomials, introduced by Lascoux, Leclerc and Thibon.