科研进展
   新闻动态
      科研进展
      综合新闻
      传媒扫描
现在位置:首页 > 新闻动态 > 科研进展
Harder-Narasimhan分层与p进周期区域(申旭)
2023-03-20 | 编辑:

  We revisit the Harder-Narasimhan stratification on a minuscule padic flag variety, by the theory of modifications of G-bundles on the FarguesFontaine curve. We compare the Harder-Narasimhan strata with the Newton strata introduced by Caraiani-Scholze. As a consequence, we get further equivalent conditions in terms of p-adic Hodge-Tate period domains for fully Hodge-Newton decomposable pairs. Moreover, we generalize these results to arbitrary cocharacters case by considering the associated B_{dR}^+-affine Schubert varieties. Applying Hodge-Tate period maps, our constructions give applications to p-adic geometry of Shimura varieties and their local analogues. 

    

  Publication: 

  Transactions of the American Mathematical Society 

  DOI: 10.1090/tran/8859 

    

  Author: 

  Xu Shen 

  Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, No. 55, Zhongguancun East Road, Beijing 100190, China 

  University of Chinese Academy of Sciences, Beijing 100049, China 

  Email: shen@math.ac.cn 

附件下载:
 
 
【打印本页】【关闭本页】
电子政务平台   |   科技网邮箱   |   ARP系统   |   会议服务平台   |   联系我们   |   友情链接