学术动态

10-08-2023

Purity and torsors over Prüfer bases

Title: Purity and torsors over Prüfer bases

Speaker: Ning Guo(Euler International Mathematical Institute)

Time: 2023/08/11 14:00-15:00 pm  (Chinese Standard Time)

Venue: LiDe Building 410

Abstract: In algebraic geometry, purity refers to a diverse range of phenomena in which certain invariants or categories associated to geometric objects are insensitive to the removal of closed subsets of large codimension. In this talk, we present Zariski—Nagata purity concerning finite étale covers on smooth schemes over Prüfer rings by proving Auslander’s flatness criterion in this non-Noetherian context. By Gabber—Ramero’s upper bound of projective dimensions, we present an Auslander—Buchsbaum formula. Finally,  we take advantage of these cohomological results to establish the parafactoriality of schemes and the purity of torsors over Prüfer bases. This is a joint work with Fei Liu.

学院办公室:010-82507161

本科生教务:010-62513386

研究生教务与国际交流:010-82507161

党团学办公室:010-62515886

在职课程培训班:010-82507075

 

邮编:100872

电话:010-82507161

传真:010-62513316

E-mail:mathruc@ruc.edu.cn/mathrucdw@ruc.edu.cn

地址:北京市海淀区中关村大街59号金沙集团1862cc橙色数学楼

金沙集团1862cc橙色公众号

版权所有 金沙集团1862cc橙色(中国)有限公司-搜狗百科 升星提供技术服务