Speaker: Yuuji Tannaka (BIMSA)
Time: 2025-11-12 14:00-16:00
Location: 610, SIMIS
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.
About Speaker:
Research interests: Gauge Theory, Algebraic Geometry, Geometric Analysis
More specifically, his current research interests are around the Vafa-Witten equations and the Kapustin-Witten ones on four-manifolds. They originated in an attractive theory called N=4 super (!) Yang-Mills theory in (Theoretical) Particle Physics, or more broadly in Superstring Theory. He’s reached these objects with huge surprise and excitement from mathematical studies in higher-dimensional gauge theories such as the Donaldson-Thomas invariants and Spin(7)-instantons. Now he’s working on these from both algebraic and analytic aspects.
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