p-adic Analytic Geometry with applications to Representation Theory -fall semester 2020, WIS

p-adic Analytic Geometry

 

 
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.