NUmber Theory Seminar 2022

TL;DR: Basic notions in modular and automorphic forms; Automorphic representations, following Getz-Hahn

  • 18 March 2022: Algebraic groups, mostly classical groups, by Chenyan Wu
  • 25 March 2022: A recap on modular forms, by Chenyan Wu
  • 1 April 2022: Modular forms of half-integral weight, by Alex Ghitza
  • 8 April 2022: Hecke operators, by Alex Ghitza
  • 27 April 2022: Siegel modular forms, by Chengjing Zhang
  • 6 May 2022: Geometric aspects of modular forms, by Alex Ghitza
  • 13 May 2022: Some applications of modular forms, by Yiannis Fam
  • 20 May 2022: Automorphic forms, a generalisation of modular forms I, by Chenyan Wu
  • 27 May 2022: Iwasawa theory of class group schemes, by Bryden Cais (University of Arizona)
  • 3 June 2022: Automorphic forms, a generalisation of modular forms II, by Chenyan Wu
  • 17 June 2022: A Gross-Zagier formula for CM cycles over Shimura curves, by Boya Wen (University of Wisconsin at Madison)
  • 1 August 2022: Automorphic representations I, by Alex Ghitza
  • 4 August 2022: A multiplicity formula of K-types, by Chen Wan (Rutgers University)
  • 8 August 2022: Moduli stacks of Galois representations, by Matthew Emerton (University of Chicago)
  • 15 August 2022: Automorphic representations II, by Alex Ghitza
  • 22 August 2022: On the unramified spherical automorphic spectrum, by Volker Heiermann (Université d'Aix-Marseille)
  • 29 August 2022: Automorphic representations III, by Alex Ghitza
  • 5 September 2022: Representations of Lie groups, with a view towards understanding the algebraic approach to the archimedean components of automorphic representations, by Alex Ghitza
  • 12 September 2022: \((\mathfrak{g},K)\)-modules and admissible representations, by Alex Ghitza
  • 19 September 2022: Archimedean representation theory, by Alex Ghitza
  • 3 October 2022: Representation theory of totally disconnected groups, by Yiannis Fam
  • 10 October 2022: Spherical Hecke algebras and restricted tensor products, by Alex Ghitza
  • 17 October 2022: Flath's Theorem, by Yiannis Fam
  • 24 October 2022: Automorphic forms, by Alex Ghitza
  • 2 December 2022: Large values of eigenfunctions on hyperbolic manifolds, by Simon Marshall (University of Wisconsin at Madison)