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p-adic interpolation of modular forms and Galois representations

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Andrea Conti
Mit, 2017-11-08 16:30 - 18:00
MPIM Lecture Hall

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.

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