Mai 31
31-05-2019 14:30 Uhr bis 15:30 Uhr
Raum 04.363, Cauerstraße 11, Erlangen

Riemann surfaces and abelian varieties with automorphisms

Sebastián Reyes-Carocca (Temuco)

Abstract: In this talk we shall consider compact Riemann surfaces (i.e. complex projective algebraic curves) and complex abelian varieties (i.e. complex tori that are projective) with non-trivial automorphisms. In the first part of the talk we shall discuss some recent results concerning classification of actions on Riemann surfaces $S$ and the corresponding isogeny decomposition of the Jacobian varieties $JS$. In the second part we shall discuss a recent result related to the topology of the moduli space of (principally polarized) abelian varieties.