Speaker
Adeel Khan, Academia Sinica
Abstract
I will describe a ladder of conjectural (n+1)-categorical invariants associated to n-shifted symplectic stacks. For n=0 these recover categories of microsheaves on smooth symplectic schemes, closely related to Fukaya categories by work of Ganatra-Pardon-Shende. On the other hand, for higher n they give rise to higher categorical invariants of k-Calabi-Yau categories, via their moduli stacks of objects. I propose to regard the perverse sheaf categorifications of Donaldson-Thomas invariants of Calabi-Yau threefolds as the n=-1 case of this story.