代数几何讨论班——Hassett-Keel program in genus four

报告人：刘雨晨（美国西北大学）

时间：2024年4月29日，上午9:00-10:00

地点：线上 Zoom: 989 9166 4720，https://bccte.zoom.us/j/98991664720?pwd=bzgrb2dDWXpQV0Z5eElGTzBMaVNYdz09

    密码: moduli

摘要:The Hassett-Keel program aims to find modular meanings for the minimal model program of the Deligne-Mumford compactification of moduli space of curves. The first three steps of the Hassett-Keel program have been established in all genera thanks to the work of Hassett, Hyeon, Alper, Fedorchuk, and Smyth. In genus four, the last several steps of the program have been worked out by Casalaina-Martin, Jensen and Laza using variation of GIT. In this talk, I will explain how to fill in the gap between these two approaches and thus to complete the Hassett-Keel program in genus four. Our method involves the recently developed moduli theory of log Calabi-Yau pairs, as well as explicit wall crossing to replace hyperelliptic curves and ribbons. Based on joint work in progress with Kenneth Ascher, Kristin DeVleming, and Xiaowei Wang.

报告人简介：刘雨晨，2007-2013年就读于北京大学数学科学学院，取得本科和硕士学位，2017年在普林斯顿大学获得博士学位，现任美国西北大学助理教授。研究方向为Fano簇、K-稳定性、模空间和奇点理论，2021年与许晨阳、庄梓铨两位北大校友共同解决了Fano簇上K-稳定性的重大问题。获得2022年斯隆研究奖。

联系人：于飞（yufei@zju.edu.cn）