Eigenvalues of automorphisms of hyperkahler manifolds

Mardi 18 octobre 2016 14:15-15:15 - Misha Verbitsky - HSE Moscou, Université Libre de Bruxelles

Résumé : Let T be a complex automorphism of a hyperkahler manifold M acting on the second cohomology with an eigenvalue a^2>1 (such an automorphism is called hyperbolic, or loxodromic). I would show that all eigenvalues of T on cohomology of M are equal in absolute value to integer powers of a, and the eigenspaces corresponding to the eigenvalue a^p-q have the same dimension as H^p,q(M). This is a result from a joint work with Bogomolov, Kamenova, Lu.

Lieu : Bât. 425, salle 117-119

Eigenvalues of automorphisms of hyperkahler manifolds  Version PDF