Representation theory and the Coulomb branch

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• Ben Webster (University of Virginia)
• Tuesday 27 June 2017, 14:30-15:30
• Seminar Room 1, Newton Institute.

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HTLW04 - Quantum topology and categorified representation theory

For many years, my collaborators and I tried to understand the Coulomb branches of certain field theories from physics and failed miserably. Luckily, recent work of Braverman-Finkelberg-Nakajima gives a mathematical construction of these spaces, and algebras quantizing them. I'll discuss an approach to the representation theory of these algebras (building on joint work with Braden-Licata-Proudfoot and many other authors). Applications include a version of the Koszul duality between the Higgs and Coulomb branches of such a theory, a new perspective on category O for Cherednik algebras, and a new understanding of coherent sheaves on Coulomb branches in terms of KLR algebras.

Related Links

• btw4e%2Fsymplectic-duality.pdf">http://people.virginia.edu/btw4e/symplectic-duality.pdf – Related preprint
• btw4e%2FUNC-2016.pdf">http://people.virginia.edu/btw4e/UNC-2016.pdf – Draft slides

This talk is part of the Isaac Newton Institute Seminar Series series.

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