Published on *Department of Mathematics* (https://math.yale.edu)

November 26, 2018 - 2:30pm

LOM 214

Multiplicative Higgs bundles are an analogue of ordinary Higgs

bundles where the Higgs field takes values in a Lie group instead of its

Lie algebra. In this talk I’ll discuss two contexts where

multiplicative Higgs bundles appear in supersymmetric gauge theory.

I’ll explain how hyperkähler structures on these moduli spaces arise

physically and mathematically and relate to the theory of Poisson Lie

groups, and finally I’ll introduce a speculative multiplicative analogue

of the geometric Langlands conjecture. This is based on joint work in

progress with Vasily Pestun.