Seminar:On moduli spaces of sextic curves with simple singularities

Seminar| Institute of Mathematical Sciences

Time:Thursday, May 15th, 2025,15:30-16:30

Abstract:In this talk, I will describe moduli spaces for sextic curves with fixed types of simple singularities. I will explain that such moduli spaces admit algebraic open embeddings into arithmetic quotients of type IV domains. I will also describe the identifications of GIT compactifications with the Looijenga compactifications. If time permits, I will discuss the Picard lattices and the relations of orbifold structures on two sides of the period maps. This is based on joint work with Chenglong Yu and Zhiwei Zheng.