NUmber Theory Seminar 2019

TL;DR: Parts of the book by Chenevier--Lannes on automorphic forms; Tate's thesis following Poonen; Eisenstein series

  • 20 March 2019: Overview of Chenevier--Lannes' book, by Alex Ghitza
  • 27 March 2019: On the decimal expansion of \(\log(2019/2018)\) and \(e\), by Yann Bugeaud (Strasbourg)
  • 10 April 2019: Class numbers of algebraic groups, by Alex Ghitza
  • 17 April 2019: Hecke rings, by Alex Ghitza
  • 1 May 2019: Automorphic forms on \(\mathbf{Z}\)-groups, by Alex Ghitza
  • 8 May 2019: Siegel modular forms, by Peter McNamara
  • 19 August 2019: Classical modular forms, by Chenyan Wu
  • 26 August 2019: Basics of automorphic forms and representations I, by Chenyan Wu
  • 2 September 2019: Basics of automorphic forms and representations II, by Chenyan Wu
  • 9 September 2019: Tate's thesis, motivation -- Riemann's proof of the meromorphic continuation and functional equation for the zeta function, by Alex Ghitza
  • 16 September 2019: Tate's thesis, local aspects I, by David Gepner
  • 23 September 2019: Tate's thesis, local aspects II, by David Gepner
  • 7 October 2019: Tate's thesis, adelic aspects I, by Alex Ghitza
  • 14 October 2019: Tate's thesis, adelic aspects II, by Alex Ghitza
  • 21 October 2019: Eisenstein series, by Chenyan Wu
  • 28 October 2019: Eisenstein series for \(\mathrm{GL}(2)\), by Chenyan Wu
  • 4 November 2019: Analytic continuation of Eisenstein series, by Peter McNamara
  • 11 November 2019: The Rankin--Selberg method, by Chenyan Wu