Hodge-Tate Study Group
The aim of this study group is to give an introduction to the theory of p-adic Galois representations, that is, representations of the absolute Galois group of with
-adic coefficients. We will see how they arise from the (global) Galois representations attached to elliptic curves, and study the categories of Hodge-Tate, de Rham and crystalline Galois representations and the relationships between them.
The main reference is "An introduction to the theory of p-adic representations" by Laurent Berger.
We will follow also "CMI Summer School Notes on p-Adic Hodge Theory" by Olivier Brinon and Brian Conrad.
Finally, it could be useful also refer to Abhinandan's master thesis "p-adic Galois representations and Elliptic Curves".
We would like to present the theory throughout the following schedule.
Date | Title | Speaker |
11/10/2019 | Overview, Goal and Motivation. | Chris Lazda |
18/10/2019 | Cyclotomic Characters, |
Mattia Sanna |
25/10/2019 | Properties of |
Zeping Hao |
1/11/2019 | Hodge-Tate representations and the decomposition theorem. |
Steven Groen |
8/11/2019 | NO TALK (due to YRANT 2019) | -- |
15/11/2019 | Formalism of period rings and |
Philippe Michaud-Rogers |
22/11/2019 | Chris Williams | |
29/11/2019 | Rob Rockwood | |
6/12/2019 | Bringing it all back home | TBA |