Speaker: Anita M. Rojas(Universidad de Chile)
Date: 10:30 27/05/2022
Title:  Period matrices 
The period matrix for a polarized abelian variety A, defining the relation between the real and the complex coordinate functions  
of its lattice and of its vector space respectively, captures deep geometric information about A. As a consequence, period matrices 
are useful tools to describe loci of moduli spaces of abelian varieties  with interesting geometric properties. However, finding 
a period matrix  for a given polarized abelian variety A  is not easy. 

In this talk we will first briefly discuss general facts and some open questions regarding abelian varieties, their moduli spaces and 
the Torelli locus, that we intend to approach through the study of period matrices. Then, we will present some new methods to compute 
the period matrix of a polarized abelian variety, depending on the given geometric information about it. Finally, we will show a couple 
of applications.