|Speaker:||Marco Gualitieri (University of Toronto)|
|Title:||The potential of generalized Kahler geometry|
|Date (JST):||Tue, Mar 26, 2019, 13:15 - 14:30|
|Place:||Seminar Room A|
Since the introduction of generalized Kähler geometry in 1984 by Gates, Hull, and Roček in the context of two-dimensional supersymmetric sigma models, we have lacked a general understanding of the degrees of freedom inherent in the geometry. In particular, the description of a usual Kähler structure in terms of a complex manifold together with a local Kähler potential function is not available for generalized Kähler structures, despite many positive indications in the literature over the last decade. I will explain how holomorphic Poisson geometry and the tools developed by the Weinstein school may be used to solve this problem. An unexpected benefit of this approach is that it provides a method for obtaining noncommutative algebras from certain generalized Kahler manifolds.
The first part of the talk is based on https://arxiv.org/abs/1804.05412 in collaboration with Francis Bischoff and Maxim Zabzine