In the next coming weeks, we will study Hilbert Modular Forms. We will read M. Dimitrov’s lecture notes, Arithmetic Aspects of Hilbert Modular Forms and Varieties. This is a Chapter of the book, Elliptic Curves, Hilbert Modular Forms and Galois Deformations, by L. Berger, G. Böckle, L. Dembélé, M. Dimitrov, T. Dokchitser, and J. Voight. If there is interest, we may go deeper into this topic, and perhaps read these Notes on The Arithmetic Of Hilbert Modular Forms, by A. Raghuram and N. Tanabe.
Next week, we will read section 1 of Dimitrov’s notes. I suggest that beyond section 1, everybody browse these notes and other notes. The next session will be an informal discussion about HMF’s.