Number Theory Seminar @ University of Melbourne

Alex Ghitza and I are running a working seminar on things number-theoretic. It runs at 11:00-12:00 Thu. (Melbourne time) this semester via Zoom. Please go to the Number Theory Research Group website where you can find a link to join our mailing list. You will receive the Zoom link and announcements of talks.

The current focus is modular forms and Siegel modular forms. We plan to follow largely the book, The 1-2-3 of Modular Forms by Jan Hendrik Bruinier, Gerard van der Geer, Günter Harder and Don Zagier. We aim to introduce students to modular forms and their generalisations. This should offer a nice pathway into arithmetic geometry and help us understand research topics such as congruences between automorphic forms on different groups.

The focus of 2021S1 is the global theory of Jacquet-Langlands Theory. We will make use of the local theory that we discussed last semester. We will recall the results when needed, so it is OK if you missed the first season (link containing seminar notes). We will continue to follow Notes on Jacquet-Langlands' Theory by Godement.