Hida families and ideal class groupsNumber Theory Lunch Semina
AbstractAbout a decade ago, Manabu Ozaki (Waseda University) established the following result: given a finite p-group G, there exists a totally imaginary number field K for which the Galois group of its p-Hilbert tower is isomorphic to G. In collaboration with Farshid Hajir (UMASS) and Ravi Ramakrishna (Cornell University), we have revisited and streamlined Ozaki's proof, which allowed us to re...