Towards a Hodge-Iwasawa theory
Xin Tong (University of California, San Diego)
Abstract: With the motivation of generalizing the corresponding geometrization of Tamagawa-Iwasawa theory after Kedlaya-Pottharst, and with motivation of establishing the corresponding equivariant version of the relative p-adic Hodge theory after Kedlaya-Liu aiming at the deformation of representations of profinite fundamental groups and the family of étale local systems, we initiate the corresponding Hodge-Iwasawa theory with deep point of view and philosophy in mind from early work of Kato and Fukaya-Kato. In this talk, we are going to discuss some foundational results on the Hodge-Iwasawa modules and Hodge-Iwasawa sheaves, as well as some interesting investigation towards the goal in our mind, which are taken from our first paper in this series project.
number theory
Audience: researchers in the topic
( slides )
Comments: There will be a pre-talk.
Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.
| Organizers: | Kiran Kedlaya*, Alina Bucur, Aaron Pollack, Cristian Popescu, Claus Sorensen |
| *contact for this listing |