Sept 28 at 17:30 in 507

Igor Chaban

Title:  Symplectic duality for the Eisenstein Series

Abstract: Eisenstein series over a function field counts maps from an algebraic curve to a partial flag variety X. Remarkably, as a function of the spectral parameter, the constant term of the Eisenstein series coincides with the equivariant Euler characteristic of the symplectic dual variety (T*X)^. Both expressions admit a natural representation as operator traces on vector spaces. In the case X = P^n, I will describe these spaces and explain why they are isomorphic as modules over a certain algebra.