NUmber Theory Seminar 2024

TL;DR: Modular and automorphic forms; motivation for Shimura varieties

  • 4 March 2024: Overview, by Alex Ghitza
  • 11 March 2024: Group schemes with examples, by Riley Moriss
  • 18 March 2024: Elliptic curves and Tate modules with examples, by Kwan Sheng Ong
  • 25 March 2024: Reductive groups with examples, by Riley Moriss
  • 8 April 2024: Parabolic subgroups with examples, by Bowan Hafey
  • 15 April 2024: Eisenstein series ($GL_2$ and Siegel cases) with examples, by Bowan Hafey
  • 22 April 2024: Automorphic forms with examples, by Riley Moriss
  • 29 April 2024: Automorphic forms on $GL_n$ with examples, by Qizheng Han
  • 6 May 2024: Parabolic induction and Eisenstein series with examples, by Chengjing Zhang
  • 13 May 2024: Parabolic induction and Eisenstein series with examples II, by Chengjing Zhang
  • 20 May 2024: Serre p-adic modular forms with examples, by Miles Koumouris
  • 27 May 2024: Quasimodular forms with examples, by Miles Koumouris
  • 23 July 2024: Modular forms and Galois representations, by Matthew Emerton (University of Chicago)
  • 30 July 2024: Introduction to Jared Weinstein's "Reciprocity Laws" survey, by Alex Ghitza
  • 6 August 2024: Classical reciprocity laws, by Alexander Stratov
  • 13 August 2024: Class field theory, by Riley Moriss
  • 20 August 2024: Modular forms, by Kwan Sheng Ong
  • 27 August 2024: Modular curves, by Miles Koumouris
  • 3 September 2024: Groups over local fields, step one towards $\Gamma\backslash G/K$, by Arun Ram
  • 10 September 2024: Modular curves, by Alex Ghitza
  • 17 September 2024: Automorphic forms and automorphic representations, by Qizheng Han
  • 1 October 2024: Arithmetic manifolds, by Bowan Hafey
  • 8 October 2024: Shimura varieties, by Chengjing Zhang