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首师代数论坛系列报告(十一)

发布日期:2020-12-03点击量:

报告人:陈小俊教授(四川大学)

题目:Calabi-Yau categories and the non-commutative symplectic structure

时间:2020年12月9日(周三)10:20-11:20

腾讯会议ID:572 9813 7220

会议链接:https://meeting.tencent.com/s/ai2R9IurQ07o

摘要

In this talk, we study the local structure of Calabi-Yau categories, and show that under some mild conditions, they admit a shifted noncommutative symplectic structure. Such a noncommutative symplectic structure induces a shifted symplectic structure, in the sense of Pantev et al, on the moduli stack of the objects of the Calabi-Yau category. This result is also recently obtained by Brav and Dyckerhoff, but our technique is completely different. We also discuss the twisted analogue of the above results for twisted Calabi-Yau categories. This talk is based on an ongoing project joint with Alimjon Eshmatov, Farkhod Eshmatov and Jieheng Zeng

报告人简介

陈小俊,四川大学教授,研究方向为非交换代数几何和数学物理,主要研究(导出意义下的)非交换泊松结构和非交换的辛结构,以及它们在Calabi-Yau范畴和代数上的实现。研究论文发表于Adv. Math, Comm Math Phys, Trans AMS和IMRN等杂志。


论坛组织者

童纪龙 唐 舜 陈红星

举办单位

首都师范大学 数学科学学院 交叉科学研究院