27 June 2016 to 2 July 2016
Collège de France
Europe/Paris timezone

Period integrals of algebraic manifolds and their differential equations

29 Jun 2016, 09:30
50m
Amphithéâtre Marguerite de Navarre (Collège de France)

Amphithéâtre Marguerite de Navarre

Collège de France

11, place Marcelin-Berthelot, 75231 Paris cedex

Speaker

Shing-Tung Yau (Harvard)

Description

Period integrals are transcendental objects that play a central role in the study of algebraic manifolds. They describe deformations of the manifold, among other things, and were originally studied by Euler, Gauss, and Riemann. In recent time, they also turn out to be very important in topological field theories, and in particular mirror symmetry. In this talk, we explain a recent method to study period integrals through differential equations, and describe a few applications including the resolution of some open issues.

Presentation materials