DMS Algebra Seminar

NOTE TIME AND ROOM CHANGE, CHANGE, CHANGE

Speaker: Matthew Speck (Auburn)

Title: Horn’s Conjecture and Littlewood Richardson Coefficients

Abstract: Motivated by Horn's long-standing conjecture regarding the eigenvalues of sums of Hermitian matrices, Klyachko presented direct connections between this conjecture and a historically important problem in representation theory: the saturation conjecture (now a theorem due to Knuston and Tao). In this expository talk, we will focus on the representation theory required to understand the key concept connecting these two apparently disjoint topics: Littlewood-Richardson coefficients. We will conclude by presenting some open problems related to this topic.