This page will be updated throughout the semester, as I post more notes, fiddle with the topics, and update the calendar. You may also want to download the current compiled form of the notes (or version 1), but beware that these are currently quite unstable. (The TeX source is even more unstable, but let me know if you want it anyway.)
Here are the units covered in the lecture notes. Topics in boldface are certain to be included; either the notes are already posted (click on the topic for a PDF file) or they are already in progress. Topics not in boldface are subject to change, based on audience interest and my own whims.
By popular demand, the TeX sources are also available (except for the last few notes, which are copied straight out of the compiled file), but you will need the preamble file.
In the Sections column of the following table, "Dwork" means DworkGerottoSullivan, An Introduction to GFunctions. "Notes" are links to PDF files in the above list.
Date 
Section(s) 
Topics 
Tue 9/4 

(registration day) 
Thu 9/6 
Introduction to the course 

Tue 9/11 
notes; Dwork: III.34 
Formalism of differential algebra (KSK away; Brubaker substituting) 
Thu 9/13 
notes; Dwork: I.15 
Absolute values (KSK away; Brubaker substituting) 
Tue 9/18 
notes; Dwork: III.67 
Newton polygons for twisted polynomials 
Thu 9/20 
notes; Dwork: III.78 
Regular singularities 
Tue 9/25 
see 9/20; notes 
Regular singularities; discs and annuli 
Thu 9/27 
see 9/25; notes; Dwork: III.5 
Discs and annuli; convergence of solutions of padic differential equations 
Tue 10/2 

NO LECTURE (Clay Math Institute workshop) 
Thu 10/4 
see 9/27 
Convergence of solutions of padic differential equations 
Tue 10/9 

NO LECTURE (MIT holiday) 
Thu 10/11 
Frobenius antecedents and Frobenius descendants 

Tue 10/16 
Matrix inequalities and padic numerical analysis (Speyer lecturing) 

Thu 10/18 
see 10/11 (sic); notes 
Frobenius antecedents and Frobenius descendants; convexity and monotonicity for subsidiary radii 
Tue 10/23 
see 10/18 
Convexity and monotonicity for subsidiary radii 
Thu 10/25 
see 10/18 
Convexity and monotonicity for subsidiary radii 
Tue 10/30 
see 10/18; notes 
Convexity and monotonicity for subsidiary radii; decomposition by subsidiary radii 
Thu 11/1 
see 10/30 
Decomposition by subsidiary radii 
Tue 11/6 

NO LECTURE (KSK away) 
Thu 11/8 

NO LECTURE (KSK away) 
Tue 11/13 
Formalism of difference algebra 

Thu 11/15 
Frobenius structures on differential equations 

Tue 11/20 
Quasiunipotent differential modules 

Thu 11/22 

NO LECTURE (MIT holiday) 
Tue 11/27 
The padic local monodromy theorem 

Thu 11/29 
notes; Dwork: V.19 
Effective convergence bounds 
Tue 12/4 
notes; Dwork: VI.13 
padic exponents 
Thu 12/6 
padic Hodge theory 

Tue 12/11 
Rigid cohomology 