Arithmetic Geometry Learning Seminar, 255 Linde Hall

We continue the proof of the Deligne-Serre theorem, which attaches irreducible two-dimensional complex Galois representations to primitive cuspidal eigenforms of weight 1. This time we focus on the analytic aspect, which involves bounding the size of the images of the mod-l representations obtained by the Lifting Lemma proved last time. We aim to conclude the proof. We may also have a brief organizational discussion about the seminar topic in the Fall quarter.