Constructions of Spin(7)-instantons
演讲者
时间
2025年03月25日 14:45 至 16:30
地点
A3-4-301
线上
Zoom 815 762 8413
(BIMSA)
摘要
After a brief introduction to Gauge theory in higher dimensions, as proposed by Donaldson and Thomas in the late '90s, we will introduce the notion of Spin(7)-instantons on Riemannian 8-manifolds with holonomy contained in Spin(7); and illustrate the constructions of them on Joyce's examples of compact Spin(7)-manifolds. This talk is partly based on joint work with Mateo Galdeano, Daniel Platt, and Luya Wang.
演讲者介绍
My research interests are primarily centred on Gauge theory within mathematics. Recently, my focus has been on semistable Higgs sheaves on complex projective surfaces and associated gauge-theoretic invariants, employing algebro-geometric methods. However, I also have a strong interest in working within the analytic category.