University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Rational curves and birational contractions on hyperkahler manifolds

Rational curves and birational contractions on hyperkahler manifolds

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  • UserEkaterina Amerik, Orsay
  • ClockWednesday 29 January 2020, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith.

Irreducible holomorphic symplectic (or hyperkahler) manifolds are higher-dimensional analogues of K3 surfaces. Their second cohomology (or dually, homology) carries a quadratic form (the Beauville-Bogomolov form) which is an analogue of the intersection form. Rational curves of negative Beauville-Bogomolov square are important for understanding the geometry of these manifolds, in the same way as (-2)-curves are for K3 surfaces. I shall survey some of our joint results with Misha Verbitsky on this subject.

This talk is part of the Differential Geometry and Topology Seminar series.

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