Quivers and their 3d Coulomb branches

Abstract: I will aim to give a pedagogical introduction to 3d Coulomb branches of quiver gauge theories, which are certain holomorphic symplectic varieties with symplectic singularities. After briefly explaining why I care about such spaces as a physicist, I will focus on the mathematical aspects of Coulomb branches, and discuss in particular how to count their holomorphic functions. I will then show how discrete modifications of a quiver induces a discrete quotient on its Coulomb branch.

mathematical physicscommutative algebraalgebraic geometryrepresentation theorysymplectic geometryquantum physics

Audience: researchers in the topic

Comments: Hybrid delivery (in person on University of Saskatchewan campus and via Zoom).

(This is part of a series with researchseminars.org/talk/PIMS_GAP/19/ occurring immediately after this talk.)

PIMS Geometry / Algebra / Physics (GAP) Seminar