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EGN Colloquium: Mathematical predictions/results from class S theories May 10, 2018 (01:30 PM PDT - 03:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Hiraku Nakajima (Kavli Institute for the Physics and Mathematics of the Universe )
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A class S theory is a 4d N=2 SUSY quantum field theory associated with a Riemann surface with/without punctures and a complex reductive group. It is not a conventional quantum field theory, given by lagrangian and a path integral. Nevertheless its existence predicts many mathematical assertions, e.g., S-duality of N=4 gauge theory, modularity of Vafa Witten partition function, AGT correspondence, and so on. After a brief explanation of a class S theory, I will talk a construction of its Higgs branch based on a ring object on the affine Grassmannian, which is my recent joint work with Braverman and Finkelberg.

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