Hodge theory of $p$-adic varieties: a survey

Wiesława Nizioł Annales Polonici Mathematici MSC: 11G25. DOI: 10.4064/ap200516-31-8 Published online: 15 December 2020


$p$-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, Kraków, 2019.


  • Wiesława NiziołCNRS, IMJ-PRG, Sorbonne Université
    4 place Jussieu
    75005 Paris, France

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