Title: Lambda-invariant among KR-modules

Abstract: In this tak. we first introduce the relationship between the representation theory of quantum affine algebras and the cluster algebra theory.

Then we consider the Lambda-invariants appearing in the  represntation theory of quantum affine algebras. Since the seed of cluster algebra consists of

KR-modules, it is very important to compute the Lambda-invariants among KR-modules.

In a joint work with Scrimshaw, we calculated the Lambda-invariants, whose formulas are conjectured by Fujita and myself. This talk is based on the joint work with Kashiwara-Kim-Park and Scrimmshaw.

Speaker: Se-jin Oh(Sungkyunkwan University)