Derived moduli spaces of Hermitian-Einstein connections
Organizers
Speaker
Dennis Borisov
Time
Thursday, November 21, 2024 10:00 AM - 11:00 AM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
I will show that Hermitian-Einstein connections can be described as representations of a Lie algebroid, which is defined using the holonomy Lie algebra of the underlying manifold. This naturally leads to the category of derived representations. The theorem by Donaldson, Uhlenbeck and Yau provides a correspondence between spaces of Hermitian-Einstein connections and moduli spaces of holomorphic vector bundles. The latter carry natural derived structures. I will try to relate the derived structures on both sides of the correspondence, in particular in the special case of a Calabi-Yau four-folds.