中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
学术报告
报告人：李时璋 博士（University of Michigan）
题 目：How I learned to stop worrying and love the comparisons
时 间：2021.07.07（星期三），09:00-11:00
地 点：腾讯会议：873 278 607
摘 要：I'll introduce two results concerning various p-adic cohomologies of a smooth proper p-adic scheme, to motivate structural results on the associated (Breuil--Kisin) prismatic cohomology. In the end, I shall exhibit an interesting example, which negatively answers a question of Breuil. This is joint work with Tong Liu, partially in progress.
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报告人：李时璋 博士（University of Michigan）
题 目：Degenerate or not, that is the question
时 间：2021.07.08（星期四），09:00-11:00
地 点：腾讯会议：127 276 302
摘 要：This talk will be divided in two parts. First, I'll explain some earlier results on whether/how the special fibre of a smooth proper p-adic scheme knows the Hodge number of its lift. In studying the question, one inevitably runs into analyzing the Hodge--de Rham spectral sequence, which somewhat motivates the second part. In the second part, I will explain my joint work with Shubhodip Mondal (to appear), which studies the space/scheme of endomorphisms of de Rham cohomology theory in p-adic settings. In particular, I shall explain a reproof of a refinement of Deligne--Illusie's decomposition statement (which is a recent result due to Drinfeld).
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