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University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Derived categories of K3 surfaces in positive characteristic

## Derived categories of K3 surfaces in positive characteristicAdd to your list(s) Download to your calendar using vCal - Max Lieblich (Washington)
- Wednesday 04 May 2011, 14:30-15:30
- MR13, CMS.
If you have a question about this talk, please contact Burt Totaro. Mukai proved that the derived category of a K3 surface over the complex numbers is governed by a Torelli-like theorem for a Hodge structure of weight 2 on its total cohomology. As a consequence of this and the classical Torelli theorem, one can describe all of the K3 surfaces with a given derived category and show that there are in fact only finitely many. I will describe what can be proven in characteristic p. In particular, I will explain why there are only finitely many K3 surfaces with a given derived category. This is a report on joint work in progress with Martin Olsson. This talk is part of the Algebraic Geometry Seminar series. ## This talk is included in these lists:- Algebraic Geometry Seminar
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