Hodge number are not derived invariants in positive characteristic

Abstract: Derived categories of coherent sheaves behave a lot like cohomology, so it's natural to ask which cohomological invariants are preserved by derived equivalences. After discussing the motivation and previous results, I'll present a derived equivalence between Calabi-Yau 3-folds in characteristic 3 with different Hodge numbers; this couldn't happen in characteristic 0. The project has a substantial computer algebra component which I'll spend some time on.

algebraic geometrycombinatorics

Audience: researchers in the topic

Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html