| Speaker: | Christopher Brav (HSE, Moscow) |
|---|---|
| Title: | Deformations of Calabi-Yau categories |
| Date (JST): | Tue, Dec 05, 2017, 15:30 - 17:00 |
| Place: | Seminar Room B |
| Abstract: | We discuss smooth Calabi-Yau categories C and their deformations, and sketch a proof that the dg Lie algebra controlling Calabi-Yau deformations of C identifies with shifted negative cyclic chains of C, while the dg Lie algebra controlling Calabi-Yau deformations with trivial period map identifies with shifted cyclic chains. If time permits, I explain how this allows us to compute Poisson brackets between certain canonical Hamiltonians on the moduli space of objects in C. In particular, this allows us to describe a derived Hitchin system for Higgs complexes. This is joint work in progress with N. Rozenblyum. |
