Seminars & Colloquia Calendar

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Gauge Theory Learning Seminar

Dimension Reduction of Generalized Anti-Self-Dual Instantons

Dylan Galt (Stony Brook)

Location:  Hill 705 and on Zoom
Date & time: Tuesday, 04 February 2025 at 11:00AM - 12:00PM

Abstract: In this talk, I will describe joint work with Langte Ma studying dimension reduction phenomena for generalized anti-self-dual instantons, first studied extensively by Donaldson-Thomas and Tian. This work is motivated by special holonomy geometry and I will emphasize applications to gauge theory on special holonomy manifolds. I will explain the general approach to such phenomena that we develop, characterizing the moduli space of generalized anti-self-dual instantons on certain bundles over product Riemannian manifolds equipped with a parallel codimension-4 differential form. One outcome of this is an explicit description of instanton moduli spaces over certain product special holonomy manifolds. If time allows, I will briefly hint at related interesting open problems.

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