Differential Geometry Working Seminar

Robert Cornea, Department of Pure Mathematics, University of Waterloo

"A proof of a Kobayashi-Hitchin correspondence for Vafa-Witten bundles, Part 1"

In this talk we start with a theorem that states that if a Vafa-Witten pair (E,φ) over a Kähler surface is polystable is there exists a unique Hermitian metric on E that satisfies the Vafa-Witten equations. We will discuss the details of this theorem and give a proof of it due to Yuuji Tanaka.