Speaker: Sergey Galkin

Title: Gamma conjectures for Fano manifolds

Date: 10:30-11:30, March 6, 2014

Place: B-model aspects of Gromov-Witten theory, University of Michigan

Abstract:

In this talk I will describe joint work with Vasily Golyshev and Hiroshi Iritani. We associate a characteristic class to a Fano manifold (or monotone symplectic manifold) as a limit of a solution (J-function) to the quantum differential equation.
We say that a Fano manifold satisfies Gamma Conjecture if the characteristic class equals the Gamma class. I will explain relationships to (homological) mirror symmetry and Dubrovin conjecture, and sketch a proof for Grassmannians.