Algebra Seminar: Scrimshaw -- Denominator formulas for KR modules in nonexceptional types

Travis Scrimshaw (Hokkaido University) will be speaking in the algebra seminar.  We will
go out for lunch after the talk---all are welcome to join! 

When: 12-1pm Friday August 21 

Where: Carslaw 275 

Title: Denominator formulas for KR modules in nonexceptional types 

Abstract: The finite dimensional representations of quantum affine algebras is a rich
topic with many remarkable structures and connections to other areas of mathematics and
physics.  Generically, the tensor product of two representations is irreducible, but a
fundamental question is to determine when they are not (in which case it generally
remains indecomposable).  This is governed by the denominator formula for the R-matrix,
where the roots are the points where the tensor product is not irreducible.  Hence, we
need to compute the denominator formula.  In this talk, after introducing the necessary
background, we describe the denominator formula for the class of Kirillov-Reshetikhin
modules in all nonexceptional types, where we require new higher level versions of the
Dorey’s rule morphisms.  This is based on joint work with Se-jin Oh.