1/15 and 1/22 at 17:30 in 507

Spencer Tamagni 

Title for 1/15:  Quasimaps with monopoles and nonabelian shift operators

Abstract: 

We revisit supersymmetric localization with monopole operators in 3D N=4 gauge theories, arriving at a new point of view on their quantized Coulomb branch algebras. Our construction agrees with and recovers the existing mathematical definition. We apply the machinery to define a nonabelian analog of shift operators in enumerative theory of quasimaps, and illustrate how this works in the simplest example of curves in GL(k)/B

Title for 1/22:  On some mirror symmetry conjectures related to Lie superalgebras 

Abstract: Homological mirror symmetry for Coulomb branches of 3d quiver gauge theories of type ADE can be used to give two mirror dual categorifications of the corresponding ADE Chern-Simons link invariants. There is an expected generalization of this story to Lie superalgebras, but only a proposal for the A-model is available in the literature. We will discuss some progress on constructing the B-model, which uses matrix factorizations in an essential way. This is based on joint work in progress with Mina Aganagic and Yixuan Li.