NUmber Theory Seminar 2021
TL;DR: Global JacquetLanglands theory, following Godement's notes; the 13 of
modular forms

18 March 2021: Adelic groups and cuspidal functions for \(\mathrm{GL}(2)\),
by Chenyan Wu

25 March 2021: Decomposition of space of cuspidal functions  compact
operators, by Chenyan Wu

1 April 2021: Decomposition of space of cuspidal functions  tensor product
decomposition, by Alex Ghitza
 15 April 2021: Global Hecke algebra, by Simon Thomas

22 April 2021: Review of admissible representations and Whittaker models, by
Chenyan Wu

29 April 2021: Uniqueness of global Whittaker model and multiplicity one
theorem for \(\mathrm{GL}_2\), by Chenyan Wu
 6 May 2021: Global Lfunctions I, by Alex Ghitza
 20 May 2021: Global Lfunctions II, by Alex Ghitza
 3 June 2021: The converse theorem, by Chenyan Wu
 10 June 2021: Archimedean theory I, by Lance Gurney
 17 June 2021: Archimedean theory II, by Lance Gurney
 8 July 2021: Report on lifting puzzles and congruences, by Chenyan Wu
 15 July 2021: Eisenstein congruences for \(\mathrm{GL}_2\), by Alex Ghitza
 12 August 2021: Introduction to modular forms, by Alex Ghitza

19 August 2021: Modular groups, modular functions, and modular forms, by
Alex Ghitza

26 August 2021: Examples of modular forms  Eisenstein series and the
discriminant function I, by Chenyan Wu

2 September 2021: Examples of modular forms  Eisenstein series and the
discriminant function II, by Chenyan Wu

9 September 2021: Hecke operators, Hecke eigenfunctions, and related
Lseries, by Alex Ghitza
 16 September 2021: Theta series, by Simon Thomas
 30 September 2021: Lseries continued, by Alex Ghitza
 7 October 2021: Introduction to Siegel modular forms, by Chenyan Wu
 14 October 2021: Eisenstein series in the Siegel setting, by Alex Ghitza

21 October 2021: Singular forms, theta series, and FourierJacobi
expansions, by Chenyan Wu