Wednesday October 21st, 2020 | |
| Time: | 9:00 PM - 10:15 PM |
| Title: | **Special time** On d-critical birational geometry and categorical DT theories |
| Speaker: | Yukinobu Toda, Kavli IPMU |
| Abstract: | |
| In this talk, I will explain an idea of analogue of birational geometry for Joyce's d-critical loci, and categorical Donaldson-Thomas theories on Calabi-Yau 3-folds. The motivations of this new framework include categorifications of wall-crossing formulas of DT invariants and also giving a d-critical analogue of D/K conjecture in birational geometry. The main result is to realize the above story for local surfaces. I will show the window theorem for categorical DT theories on local surfaces and apply it to categorify wall-crossing invariance of genus zero GV invariants, MNOP/PT correspondence, etc. | |