**Course description:**
This is an introduction to p-adic Hodge theory which describes Galois representations arising geometrically in the cohomology
of algebraic varieties. We will introduce Fontaine's p-adic period rings in detail, and discuss the basic hierarchy of
representations (crystalline, semistable, de Rham) starting with Hodge-Tate representations. All talks will be given by students.

**Organizers:** Anne Carter and Claus Sorensen,
csorensen [at] ucsd [etcetera]

**Meetings:** Wed and Fri 12-1 in APM 6402. (First meeting Friday January 8th.)

Helpful background on etale cohomology can be found in Milne's notes.

**Prerequisites:**
Local fields, algebraic geometry, group schemes, and the basics of etale cohomology.