Some aspects of $G_{2}$-instantons
Prof. Yuanqi Wang
2023-08-08 15:00-16:00
MCM110&Online
Speaker: Prof. Yuanqi Wang (University of Kansas)Time: 15:00-16:00 August 8, 2023 (Tuesday)
Place: MCM110 & Online (Zoom ID: 3329836068 Password: mcm1234)
Title: Some aspects of $G_{2}$-instantons
Abstract: $G_{2}-$instantons on a $7-$dimensional manifold generalize both flat connections in dimension 3, and anti self-dual connections in dimension 4.
People expect a certain count of $G_{2}-$instantons and other objects could yield a topological invariant for $7-$manifolds, called the prospective $G_{2}-$Casson invariant. This is expected to be a unification of Donaldson-type, Seiberg-Witten type, and Gromov-Witten type invariants. Related to this program, we report some work on moduli space of smooth $G_{2}-$instantons, and spectral theory/obstruction theory of singular $G_{2}-$instantons.
