Workshop on Recent Developments in Hodge Theory and O-minimality

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 Zp-towers (Iwasawa theory) and Hida families for GL2-objects will be presented.