论文标题
$ p $ - 亚种的品种的霍奇理论：调查
Hodge Theory of $p$-adic varieties: a survey
论文作者
论文摘要
$ p $ - addic hodge理论是现代算术几何形状中最强大的工具之一。在这项调查中，我们将回顾$ p $ -Adic Hodge理论的代数品种，目前的发展中的当前发展用于分析品种，并讨论了其在数量理论中的问题。这是在2019年波兰数学学会成立100周年的禧年大会上的演讲的扩展版本。
$p$-adic Hodge Theory is one of the most powerful tools in modern Arithmetic Geometry. In this survey, we will review $p$-adic Hodge Theory for algebraic varieties, present current developments in $p$-adic Hodge Theory for 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.
