3d mirror symmetry and symplectic duality

Princeton/IAS Symplectic Geometry Seminar
Topic:3d mirror symmetry and symplectic duality
Speaker:Tudor Dimofte
Affiliation:Perimeter Institute for Theoretical Physics
Date:Friday, October 16
Time/Room:3:00pm - 4:00pm/Fine 224, Princeton University

In recent work of Braden, Licata, Proudfoot, and Webster, a "symplectic duality" was described between pairs of module categories $O(M)$, $O(M')$ associated to certain pairs of complex symplectic manifolds $(M, M')$. The duality generalizes the Koszul duality of Beilinson-Ginzburg-Soergel for categories of modules associated to flag varieties. I will discuss how symplectic duality can be obtained from the physics of boundary conditions in three-dimensional supersymmetric gauge theories, and some new structure that arises from these boundary conditions. (Joint work with M. Bullimore, D. Gaiotto, & J. Hilburn.)