This seminar is aimed primarily at the graduate students in the number theory group. The seminar this term will be devoted to the proof of the exceptional zero conjecture of Mazur, Tate, and Teitelbaum by Greenberg and Stevens.

Kushal Banerjee

Casper Barendrecht

Joachim de Ronde

Michele Fornea

Wissam Ghantous

Francesc Gispert-Sanchez

David Lilienfeldt

Reginald Lybbert

Simone Maletto

Laura Marino

Shayeef Murshid

Kunjakanan Nath

Isabella Negrini

James Rickards

Peter Xu

In addition the following faculty and post-docs will be attending:

Will Chen

Henri Darmon

Adrian Iovita

Zheng Liu

Haining Wang

Barry Mazur and Peter Swinnerton-Dyer.

Barry Mazur, John Tate, and Jeremy Teitelbaum.

Ralph Greenberg and Glenn Stevens.

1) Classical modular forms and Hecke operators. (Shayeef)

2) Elliptic curves over the rationals and modular forms. The modularity theorem.(Wissam)

3) p-Adic measures on Galois groups and p-adic L-functions. (Isabella)

4) p-Adic L-functions attached to modular eigenforms. The classical theory. (Reginald)

5) The Mazur-Tate-Teitelbaum conjectures. (Michele)

6) Classical and overconvergent modular symbols and the p-adic L-functions attached to modular eigenforms. (Francesc)

7) Galois representations attached to elliptic curves and modular forms. (James)

8) Hida families of ordinary p-adic modular forms and their Galois representations. (David)

9) Two variable p-adic L-functions attached to a Hida family of modular forms. (Peter)

10) The \cL-invariant of an elliptic curve with split multiplicative reduction at p and deformations of Galois representations. (Peter)

11) The proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves over the rationals with split multiplicative reduction at p. (Michele)

12) Higher weight modular forms (Adrian).