GTM seminar

Speaker: Tasuki Kinjo (Kavli IPMU)
Title: Dimensional reduction in cohomological Donaldson–Thomas theory
Date (JST): Thu, Feb 25, 2021, 15:30 - 17:00
Place: Zoom
Abstract: The cohomological Donaldson–Thomas (CoDT) invariants associated with Calabi–Yau threefolds are categorifications of the DT invariants introduced by Joyce and his coauthors. In this talk, I will explain the "dimensional reduction" in CoDT theory relating the CoDT invariants for local surfaces and the Borel–Moore homology of the moduli stacks of sheaves on the base surfaces. I will also explain a new construction of the virtual fundamental classes for quasi-smooth derived schemes based on the dimensional reduction theorem.