The spring 2012 Ritt Lectures, by Prof. Pierre Colmez, will take place April 19 & 20. Prof. Colmez (Institut de MathÃ©matiques de Jussieu), will deliver a two talk series titled:

“*p-adic analysis and Galois representations*”

Abstract: Ever since Wiles’s proof of (sufficiently many cases of) Taniyama-Weil’s conjecture lead-ing to a proof of Fermat’s last theorem, p-adic methods have proven to be very useful for the understanding of representations of the absolute Galois group of Q and the complex L-functions attached to them. I will summarize classical results in p-adic analysis (they are very similar to the theory of Fourier series), explain how they enter in the study of p-adic representations of the absolute Galois group of Qp, and show how this has paved the way to the proof of most cases of Fontaine-Mazur’s conjecture in dimension 2 (a vast generaliza-tion of Taniyama-Weil’s conjecture).

Thursday, April 19

5:30pm

Friday, April 20

3:30pm

Both lectures will be held in room 312 Mathematics Hall. For the lecture poster, visit:

http://www.math.columbia.edu/~staff/Ritt-Spring-2012.pdf