Masses of central leaves and automorphisms of abelian varieties

This is a short talk that Enric Florit, Eda Kırımlı and I gave in the Arizona Winter School the 6th of March of 2024, regarding the project we worked on under the supervision of Valentijn Karemaker and Soumya Sankar.

In this project, we studied the possible automorphism groups of a supersingular abelian variety of genus \(g\). In order to do so, we tried to find a mass formula for the central leaf associated to the supersingular locus of the moduli space \(\mathcal{A}_g\) of abelian varieties of genus \(g\).

These are the hand-written slides that we used for our presentation: