Elham Izadi

Unirationality and rationality of moduli spaces of curves, abelian varieties and related structures

Abstract: I will give an overview of known and unknown results on the rationality and unirationality of moduli spaces of curves and abelian varieties with extra structures. Then I will sketch a proof of the unirationality of the moduli space of curves of genus 5 with a non- trivial double cover.