Speaker: Sergey Galkin
Title: Apery Class
Date: Feb 24, 2009, 15:00 - 17:00
Place: Shafarevich seminar, Steklov Math Institute, Moscow
I will apply Apery's construction to quantum differential equation of a Fano manifold to construct its Apery class --- inhomogeneous cohomology class with real coefficients. Using integral structure in quantum cohomology one can compute it, and show that its coefficients (in a basis rational with respect to homogeneous Betti cohomology) are universal homogeneous polynomials of Riemann's zeta-function evaluated in integer arguments.