Lattice models and representation theory

Funder	Engineering and Physical Sciences Research Council
Recipient Organization	University of Glasgow
Country	United Kingdom
Start Date	Sep 15, 2024
End Date	Sep 15, 2028
Duration	1,461 days
Number of Grantees	1
Roles	Student
Data Source	UKRI Gateway to Research
Grant ID	`2925095`

Grant Description

Solvable lattice models and similar combinatorial devices are an important tool in representation theory, with connection to geometry, mathematical physics, and number theory.

Various objects in the representation theory of reductive groups (for example, Whittaker functions, Macdonald polynomials and their analogues) can be understood using combinatorial models in terms of lattice models. This project will explore the above areas and their connections.