COW: Derived equivalences of K3 surfaces

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• Arend Bayer (Edinburgh)
• Thursday 14 November 2013, 15:30-16:00
• MR 4.

If you have a question about this talk, please contact Dr. J Ross.

The group of autoequivalences of the derived category of an algebraic variety is important to understand for various reasons, for example in the context of mirror symmetry. However, it is understood only in very few examples. I will describe recent joint work with Tom Bridgeland, in which we determine this group for projective K3 surfaces of Picard rank one. The proof is based on a geometric argument: we prove that the space of stability conditions for such K3 surfaces is connected and simply-connected.

This talk is part of the Cambridge-Oxford-Warwick (COW) seminar

This talk is part of the Algebraic Geometry Seminar series.

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