Michael Schuster (University of Georgia), Geometric Methods in Representation Theory

Title: Sub-cones of the additive eigencone
Abstract:  The additive eigencone is defined as the set of all solutions of the additive eigenvalue problem in linear algebra.  Its interest lies in its close relationships with the representation theory of algebraic groups and cohomology of flag varieties.   In this talk I will discuss special sub-cones of eigencones – called sub-eigencones – which satisfy a strong functoriality property.  In particular, I will discuss a new family of examples of sub-eigencones arising from subgroups fixed by inner automorphisms.