Moduli spaces of hyperKahler manifolds and cubics

Abstract

The study of moduli spaces of hyperKahler manifolds and low dimensional cubic hypersurfaces is an active direction in algebraic geometry. Thanks to kinds of Torelli theorem, many moduli spaces can be realized as locally symmetric varieties of unitary type or orthogonal type. Hodge theory, birational geometry and arithmetic geometry converge in this topic. In this talk I will give a general introduction to the theory and examples, and discuss the future directions.

Speaker

I'm an assistant professor in Yau Mathematical Sciences Center, Tsinghua University. I used to work in BIMSA as an assistant research fellow and in MPIM as a postdoc. I graduated from Tsinghua University in July 2019, under supervision of Eduard Looijenga .

I am interested in K3 surfaces, cubic fourfolds, hyper-Kahler manifolds, Calabi-Yau manifolds. Recently I worked on moduli and automorphisms of those objects.

Home page:

https://zhengzhiweimath.github.io/homepage/