Higher Order KR-Modules, Imaginary Modules and Monoidal Categorification

Explore the connections between cluster algebras, quantum affine algebras, and representation theory in this 44-minute conference talk. Delve into the existence of imaginary modules and their relationship with the representation theory of general linear groups over non-archimedean fields. Examine higher order Kirillov-Reshetikhin modules and their role in monoidal categorification. Learn about joint research findings presented by Vyjayanthi Chari, based on collaborative work with Matheus Brito, as part of the Canada-Mexico-US Conference on Representation Theory, Noncommutative Algebra, and Categorification held in August 2023.

Vyjayanthi Chari: Higher order KR-modules, imaginary modules and monoidal categorification.