The Topology & Geometry seminar meets on Tuesdays at 13:00 at room 70 in the Ross Building.

2020
Jan
14

# T&G: Pavel Etingof (MIT), Short star-products for filtered quantizations

1:00pm to 2:30pm

## Location:

Room 209, Manchester Building, Jerusalem

Motivated by three-dimensional N=4 superconformal field theory, in 2016 Beem, Peelaers and Rastelli considered short even star-products for homogeneous symplectic singularities (more precisely, hyper-Kahler cones) and conjectured that they exist and depend on finitely many parameters. We prove the dependence on finitely many parameters in general and existence for a large class of examples, using the connection of this problem with zeroth Hochschild homology of quantizations suggested by Kontsevich.