Classical weight one eigenforms occupy a special place in the correspondence between Automorphic Forms and Galois Representations since they yield two dimensional Artin representations with odd determinant. Deligne and Serre constructed those representations using congruences with forms of higher weight. The systematic study of congruences between modular forms culminated in the construction of the p-adic Eigencurve by Coleman and Mazur. While its geometry is relatively well understood at classical points of weight at least two, by the work of Hida, Kisin et al., little was known at points of weight one before a recent joint work of Joel Bellaiche and the author. We will present those results and show numerical examples.
Donnerstag, den 6. Dezember 2012 um 17 c.t. Uhr, in INF 299, HS2 Donnerstag, den 6. Dezember 2012 at 17 c.t., in INF 299, HS2
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Böckle