Noncommutative resolutions of Coulomb branches

video of the talk  slides for the talk

Given a 3d N=4 supersymmetric quantum field theory, there is an associated Coulomb branch, which is an important reflection of the A-twist of this theory. In the case of gauge theories, this Coulomb branch has a description due to Braverman-Finkelberg-Nakajima; I'll discuss how we can generalize this geometric description in order to construct non-commutative resolutions of Coulomb branches (giving a more physical meaning to a previously known construction of Kaledin), and its connection to wall-crossing functors arising from varying Kahler moduli (and thus to the construction of knot homology).