String-Math Seminar: Some recent advances in the mathematical construction of Coulomb branches of 3 and 4-dimensional gauge theories

Seminar | March 13 | 2-3 p.m. | 402 LeConte Hall

 Alexander Braverman, Toronto

 Department of Mathematics

I will start the talk by reviewing our recent work with M.Finkelberg and H.Nakajima on the mathematical construction of Coulomb branches of 3-dimensional N=4 super-symmetric gauge theories as affine complex (possibly singular) symplectic algebraic varieties admitting a canonical quantization (no physics background will be assumed). I will then proceed to the discussion of the generalization of this construction to Coulomb branches of 4-dimensional gauge theories compactified on a circle. I will present a set of conjectures about the resulting varieties and give some examples .

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