Wednesday April 7th, 2021 | |
| Time: | 3:00 PM - 4:15 AM |
| Title: | Stable pairs with a twist |
| Speaker: | Dori Bejleri, Harvard University |
| Abstract: | |
| The notion of a stable log variety or stable pair (X,D) is the higher dimensional analogue of a stable pointed curve. The existence of a proper moduli space of stable pairs in any dimension has been established thanks to the last several decades of advancements in the minimal model program. However, the notion of a family of stable pairs remains quite subtle, and in particular a deformation-obstruction theory for this moduli problem is not known. Building on the work of Abramovich-Hassett, I will describe an approach to this question using a certain Deligne-Mumford stack canonically associated to the stable pair (X,D) and mention some applications of this approach. This is joint work with G. Inchiostro. | |