| ABSTRACT |
Compact hyper-K?hler (HK) manifolds are higher dimensional generalizations of K3 surfaces. Looijenga, Lunts and Verbitsky showed the cohomology of HK manifolds admits a nontrivial algebraic group action. It is the most rigid structure on the cohomology of HK that we have so far. In this talk, I will explain how this structure can be used to study cohomology of HK manifolds, and compute them explicitly for all currently known deformation types of HK. This is joint work with M. Green, R. Laza and C. Robles. |
