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.