Jared Weinstein: Period maps in p-adic geometry, Lecture 3

  • Date: 05/17/2017
Jared Weinstein, Boston University

University of British Columbia


On a complex variety, you can integrate a differential form over a cycle to get a period. For instance, an elliptic curve has two periods, whose quotient gives an element of the upper half plane. There is a family of concepts (Hodge decomposition, variation of Hodge structures, Shimura varieties) arising from the study of periods on families of complex varieties. What if the complex variety is replaced with a rigid-analytic variety over a p-adic field? We will review work of Tate, Fontaine, Kedlaya-Liu, Scholze and others that falls under the domain of p-adic Hodge theory. One goal will be to understand the surprising Hodge-Tate period map, defined by Scholze, attached to the modular curve at infinite level. (Lecture 3 of 4)

Other Information: 

Location: ESB 4127
Wed 17 May 2017, 3:30pm-4:30pm