$p$-adic Families and Arithmetic

Abstract: I will discuss the general strategy of studying arithmetic objects, such as $p$-adic Galois representations, $L$-values, and automorphic forms, as members of ($p$-adic) families and explain how this can make certain questions more accessible. In particular, some results involving variation in $\mathbb{Z}_p$-towers (Iwasawa theory) and Hida families for GL$_2$-objects will be presented.

number theory

Audience: researchers in the topic

BC-MIT number theory seminar