ICMS-Sofia and IMSA-Miami


Consortium Distinguished Lecture Series

Vestislav Apostolov, Université du Québec à Montréal, Canada and Institute of Mathematics and Informatics, Sofia

August 9, 2023, 13:00 (EEST, Sofia time),
IMI-BAS, Hall 403
and via Zoom

The generazed Calabi-Yau problem

Abstract: I will describe an extension, proposed by Hitchin and Gualtieri, of the notion of a Calabi-Yau structure to generalized Kähler geometry. I will then discuss a conjectural classification of the generalized Kähler Calabi-Yau geometries, expressed in terms of Bogomolov-Beauville decomposition, and present a partial resolution.

This talk is based on a joint work with X. Fu, J. Streets and Y. Ustinovskiy.