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.

### Math-Physics Joint Seminar

Tuesday, April 4, 2017 - 4:30am

#### Sasha Braverman

University of Toronto and Perimeter Institute for Theoretical Physics