Speaker: Sergey Galkin

Title: Apery Class

Date: Feb 24, 2009, 15:00 - 17:00

Place: Shafarevich seminar, Steklov Math Institute, Moscow

Abstract:

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.