北京雁栖湖应用数学研究院

阿尔坦·谢什马尼 , 杨南君 , 袁北彗

Dennis Borisov

2024年11月21日 10:00 至 11:00

A6-101

Zoom 638 227 8222 (BIMSA)

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.