**Course description:**
The goal of this reading seminar is to go through Part A ("p-adic analysis and Lie groups") of Schneider's book.
This develops the theory of p-adic Lie groups from scratch; it starts from differentiability, locally analytic functions, then
defines manifolds and tangent spaces -- all in the context of a non-archimedean field. The last third introduces Lie groups, Lie algebras,
and gives various descriptions of the universal enveloping algebra. Part A should be of interest to anyone wishing to learn the basics of Lie groups.
If there's sufficient interest, we hope to cover Part B
("the algebraic theory of p-adic Lie groups") in a sequel; which is an exposition of Lazard's theory of p-valuations and its
number-theoretic applications to Iwasawa algebras etc. Depending on the number of active participants, each participant should expect to give ~3 talks.
Let me know if you want to be added to the mailing list.

**Instructor:** Claus Sorensen,
csorensen [at] ucsd [etcetera].

**Meetings:** Tue and Thu, 1-2 PM, in APM 7421. (First meeting Jan 8th.)

**Prerequisites:**
Will be kept to a minimum. Prior exposure to p-adics, manifolds, and universal enveloping algebras, will be useful -- but is
strictly speaking not necessary.