代数几何研讨班

中科院数学与系统科学研究院

数学研究所

学术报告

代数几何研讨班

报告人：陈炳仪 博士（清华大学）
题  目：A strategy of dimension reduction for the nonvanishing conjecture
时  间：2021.12.22（星期三），09:30-11:30

地  点：晨兴410

摘  要：For a pseudo-effective pair (X, B) which is the limit of non-pseudo-effective pairs (X, B_i), Gongyu consturct a (K_X+B)-trivial fibration and reduce the nonvanishing conjecture for this pair to that for pairs of lower dimension. In this talk, I will introduce his construction in detail and discuss some of its applications, for example, the rationality of pseudo-effective threshold and the nonvanishing conjecture for rationally connected pairs and uniruled pairs.

------------------------------------------
报告人：钟一鸣 博士（清华大学）
题  目：Moduli space of certain singular plane sextic curves and ball quotients
时  间：2021.12.29（星期三），09:30-11:30

地  点：晨兴410

摘  要：There are many moduli spaces which can be realized as arithmetic quotients of complex balls. The studying of some moduli spaces naturally led to the moduli spaces of weighted points on projective line. Some common examples are the moduli spaces of non- hyperelliptic genus 4 curves, of del Pezzo surfaces, of certain singular plane sextic curves and so on. Deligne and Mostow showed that the moduli spaces of weighted points on projective line can be realized as arithmetic quotients of complex balls by lattices for special weights. In this talk we give two ball quotients descriptions of the moduli space of singular plane sextic curves of certain type and show that the two ball quotients constructions can be unified in a geometric way. This is a joint work with Zhiwei Zheng.