Monday September 20, 2004

Speaker: Harry Tamvakis

Title: Schubert Calculus and Lie Group Representations

Abstract: Suppose that G is a Lie group and P a parabolic subgroup of G. The multiplicative structure of the cohomology ring of the homogeneous space X=G/P is known as "Schubert calculus", after the classical theory in the case when X is a type A Grassmannian. Is the Schubert calculus for H*(X) somehow related to the structure of the representation ring of G (where the product is given by the product of characters of G)? I will discuss some old and recent results which give insight on the answer.