活动地点：CMS 201

活动类型：学术报告

主讲人：刘治宇

活动时间：2022-11-01 11:00:00--2022-11-01 12:00:00

活动内容：

刘治宇博士专题学术报告

报告题目：Castelnuovo bound and Gromov-Witten invariants of the quintic 3-fold

 

报告人：刘治宇（四川大学）

 

时间：2022年11月1日（周二）上午11:00

 

地点：数学中心201教室

腾讯会议：861-469-728

摘要：One of the most challenging problems in geometry and physics is to compute higher genus Gromov-Witten (GW) invariants of compact Calabi-Yau 3-folds, such as the famous quintic 3-fold. I will briefly describe how physicists compute GW-invariants of the quintic 3-fold up to genus 53, using five mathematical conjectures. Three of them were proved and one of the remaining two conjectures was solved in some genus. I will explain how to prove the last open one, referred to as Castelnuovo bound in the literature. This talk is based on the joint work with Yongbin Ruan.