Microlocal categorical sheaves on shifted symplectic spaces

Abstract: I will describe a ladder of conjectural $(n+1)$-categorical invariants associated to $n$-shifted symplectic derived stacks. For $n=0$ these generalize categories of microsheaves on smooth symplectic schemes (closely related to Fukaya categories). For $n=-1$ and $-2$ they should recover (categorifications of) Donaldson-Thomas invariants of Calabi-Yau three- and four-folds, respectively, thus giving a microlocal perspective on Donaldson-Thomas invariants.

algebraic geometryrepresentation theory

Audience: researchers in the topic

Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

If the talk is online/mixed mode, Zoom info is available on researchseminars.org in the talk details. But if you would also like to be added to the mailing list to get notifications for upcoming talks, please email agseminar@ust.hk.