Symmetry of LLT Polynomials
Speaker:
Kelvin Chan, York University
Date and Time:
Friday, September 27, 2019 - 3:30pm to 5:00pm
Location:
Fields Institute, Room 210
Abstract:
In the theory of Macdonald polynomials, the LLT family lives on a busy street. Relevant facts include "expansions" of modified Macdonld polynomials and $\nabla e_{n}$. Interestingly, one inevitably questions its symmetry upon first contact. We will discuss some of their properties and an induction proof of their symmetry by Haglund, Haiman and Loehr.