Venue: Room 204, Hai Na Yuan #2, Zijingang Campus

Time: 16:00-17:20, November 10

Speaker: 马烺特 Langte Ma (Shanghai Jiao Tong University)

Pretalk: Generalized Anti-Self-Dual Instantons

Abstract: ASD instantons are used by Donaldson and others in the 1980s to discover exotic smooth structures on 4-manifolds. In the late 1990s, Donaldson-Thomas proposed to study instantons over Riemannian manifolds with special homolony. I will introduce the notion of such instantons and explain their minimizing property for the Yang-Mills functional, which include HYM connections on Kahler manifolds as examples.

Research talk: Instantons on Product Manifolds

We study the generalized ASD instantons over product manifolds motivated by the fact that many examples of manifolds with special honolomy are built with blocks of product structures. In this talk, I will discuss a generalization of the notion of instanton charge on principal SU(r)-bundle over 4-manifolds to manifolds with special holonomy, and explain how the moduli spaces of instantons over product manifolds are related to this generalized charge, which leads to interaction with instantons on the product factors. This is joint work with Dylan Galt.