The Toda lattice, affine Grassmannian and Coulomb branches

The Toda lattice, affine Grassmannian and Coulomb branches

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Tom Zielinski, University of Oxford
Fine Hall 110

In the past few years, a lot of work in representation theory has been put into constructing spaces arising from low dimensional gauge theories. In this talk, we will present from a mathematical perspective a partial construction of one of these spaces, the Coulomb branch of N=4 SUSY gauge theory. In the process, we will introduce various geometric constructions ubiquitous in modern representation theory, like symplectic reduction and affine Grassmannian.