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Mathematical Research at the University of Cambridge

 

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.

Further information

Time:

29Jan
Jan 29th 2020
16:00 to 17:00

Venue:

MR13

Speaker:

Ekaterina Amerik, Orsay

Series:

Differential Geometry and Topology Seminar