SIMIS Seminar on Algebraic Geometry: On moduli spaces of sextic curves with simple singularities

Speaker: Yiming Zhong (钟一鸣) from Beijing International Center for Mathematical Research

Time: 10:00-11:00 a.m., Friday,05/09

Location: Room 1510, SIMIS

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. Furthermore, 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.


Introduction to the Speaker:Yiming Zhong is currently a postdoc at Beijing International Center for Mathematical Research. He is interested in moduli spaces and Hodge theory. His current research is on moduli of sextic curves with simple singularities, their Hodge-theoretic characterizations and compactifications.

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