The notes contain numerous typos and errors. Please use them at your own risk.

Date and Format Content

Nov 26, 2007

Ramification theory for local fields with imperfect residue fields (Version Oct 20, 2008)
This is a summary of my two papers On Ramification Filtrations and p-adic Differential Equations, I, II . In this note, I focus on setting up the framework of the proof, without diving into the technical details. I hope this make the two papers more accessible. The introductory part was from a talk I gave in STAGE.

May 7, 2007

Semistable reduction of overconvergent F-isocrystals
This was a series of talks I gave in STAGE. I sketched Kedlaya's approach to the semistable reduction conjecture for overconvergent F-isocrystals.

Apr 18, 2006

An introduction to algebraic fundamental groups
This was a talk given in BAGS (Baby Algebraic Geometry Seminar). I sketched some material from Murre's book on fundamental groups.

Mar 24, 2006

Notes on p-divisible groups
This was a talk given in STAGE (Seminar on Topics of Arithmetic Geometry and Etc). I talked about Tate's paper on p-divisible groups.