The course will usually take place on Mondays 14:15-16:00 in this Zoom room
First lecture: October 26
Prerequisites:
(i)Good knowledge of linear algebra
(ii) Basic Galois theory
(iii) p-adic fields and their topology
(iv) extensions of $p$-adic fields: ramified and unramified extensions,
elementary facts about Galois groups of $p$-adic field
Lecturer: Joseph Bernstein
Syllabus
Lecture 1 Notes
Lecture 2 Notes
Lecture 3 Notes
Lecture 4 Notes
Lecture 5 Notes
Lecture 6 Notes
Lecture 7 Notes
Lecture 8 Notes
Lecture 9 Notes
Lecture 10 Notes
Lecture 11 Notes
Lecture 12 Notes
Lecture 13 Notes
Lecture 14 Notes
Lecture 15 Notes [pdf][svg]
Lectures 1-14 in OneNote
Exercise 1
Literature:
1. Laurent Berger, An introduction to the theory of p-adic representations.
2 . OLIVIER BRINON AND BRIAN CONRAD,
CMI SUMMER SCHOOL NOTES ON p-ADIC HODGE THEORY.