Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Andrea Conti
Affiliation:

MPI
Date:

Wed, 2017-11-08 16:30 - 18:00 In a seminal paper, Serre studied p-adic limits of modular forms with the aim of constructing

p-adic L-functions for totally real number fields. Since then, the theme of p-adic interpolation

of automorphic forms has played an important role in many achievements of contemporary

number theory, such as Wiles's proof of Fermat's Last Theorem. I will give a brief overview

of Serre's method and of the results of Hida, Coleman-Mazur, Buzzard and Chenevier in the

construction of p-adic families of modular forms and of their associated Galois representations.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/7671