School of Mathematics Colloquium

Big image of Galois for positive slope families

by Prof. J. Tilouine (Universite Paris, France)

Thursday, July 9, 2015 from to (Asia/Kolkata)
at AG-69
Description
In the 90's, Coleman and Mazur defined the Eigencurve
$X$ which parametrizes the Hecke eigensystems of modular forms 
with non zero eigenvalue for $U_p$. Recently, Hida showed that non CM
ordinary families have big Galois image. We do the same, in the non ordinary case, for families of finite slope on $X$. The ingredient replacing ordinarity is Sen's theory in the relative setting.