| Speaker: |
Marina Purri Brant Godinho (University of Glasgow) |
| Title: |
Derived symmetries induced by crepant contractions. |
| Date (JST): |
Tue, Apr 22, 2025, 15:30 - 16:30 |
| Place: |
Seminar Room A |
| Abstract: |
Derived autoequivalences of varieties have really interesting applications relating to mirror symmetry, stability conditions and numerical invariants. In this talk, I will construct new derived symmetries induced by crepant contractions f: X ---> Y satisfying mild conditions and which admit a relative tilting bundle. These symmetries can be characterised as twists around spherical functors. A key technology we use is the noncommutative enhancement of crepant contractions introduced by Donovan and Wemyss. More specifically, there is a (mild) noncommutative scheme associated to the contraction f, and we specify "hidden smoothness" and "spherical" criteria which allow us to track the existence of new derived symmetries induced by the contraction.
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