Interactions between Hessenberg Varieties, Chromatic Functions, and LLT Polynomials (22w5143)


(North Carolina State University)

(Stockholm University)

(Washington University in St Louis)

Julianna Tymoczko (Smith College)


The Banff International Research Station will host the "Interactions between Hessenberg Varieties, Chromatic Functions, and LLT Polynomials" workshop in Banff from October 16 - 21, 2022.

The prime numbers are the basic building blocks for integers. In a similar fashion, LLT polynomials are becoming an important building blocks for certain types of symmetries. Hessenberg varieties are geometric objects which encode these types of symmetries.

The goal of this workshop is to solve open problems about how such symmetries can be broken down into well-established and well-understood standard blocks, similar to how prime factorization works for integers.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).