Math 299 - Perfectoid Spaces II

Course description: We will continue our study of perfectoid fields, the tilting equivalence, and its applications to Galois representations and (phi,Gamma)-modules. In the first 4 talks of the seminar we will go through Chapter 1 of Kedlaya's paper New methods for (phi,Gamma)-modules, Res. Math. Sci. 2 (2015), Art. 20, 31 pp. (available below). The second part will focus on Kedlaya's lecture notes Sheaves, Shtukas, and Stacks for the 2017 Arizona Winter School, as they become available.

Contact: Claus Sorensen, csorensen [at] ucsd [etcetera].

Meetings: Tue 9-10 (in APM 5829) and Fri 11-12 (in B412).

Notes:

[N] K. Kedlaya, New methods for (phi,Gamma)-modules. Res. Math. Sci. 2 (2015), Art. 20, 31 pp. Available here.

[S] K. Kedlaya, Sheaves, Shtukas, and Stacks. Available here. Live version here (updated roughly every 24 hours).