| 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 |
| Related File: | 2626.pdf |
| 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. |
