University of Birmingham > Talks@bham > Geometry and Mathematical Physics seminar > The Multiplicative Hitchin System in Supersymmetric Gauge Theory

The Multiplicative Hitchin System in Supersymmetric Gauge Theory

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If you have a question about this talk, please contact Andrea Brini.

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 conclude by discussing some applications to the theory of quantum groups, and to the geometric Langlands program. This is based on joint work with Vasily Pestun.

This talk is part of the Geometry and Mathematical Physics seminar series.

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