Constructions of Spin(7)-instantons
Organizers
Speaker
Time
Tuesday, March 25, 2025 2:45 PM - 4:30 PM
Venue
A3-4-301
Online
Zoom 815 762 8413
(BIMSA)
Abstract
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.
Speaker Intro
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.