Hodge theory of p-adic varieties: a survey

被引：0
作者：
Niziol, Wieslawa [1 ]
机构：
[1] Sorbonne Univ, CNRS, IMJ PRG, 4 Pl Jussieu, F-75005 Paris, France
来源：
ANNALES POLONICI MATHEMATICI | 2021年 / 127卷 / 1-2期
关键词：
p-adic cohomology; analytic varieties; SEMI-STABLE REDUCTION; ABELIAN-VARIETIES; FUNDAMENTAL GROUP; COHOMOLOGY; CONJECTURE; REPRESENTATIONS; FINITENESS; REGULATORS; FIELDS; SPACES;
D O I：
10.4064/ap200516-31-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
p-adic Hodge theory is one of the most powerful tools in modern arithmetic geometry. In this survey, we will review p-adic Hodge theory of algebraic varieties, present current developments in p-adic Hodge theory of analytic varieties, and discuss some of its applications to problems in number theory. This is an extended version of a talk at the Jubilee Congress for the 100th anniversary of the Polish Mathematical Society, Krakow, 2019.
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页码：63 / 86
页数：24
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