NUmber Theory Seminar 2020
TL;DR: Local Jacquet-Langlands theory, following Godement's notes
- 17 February 2020: Images and symmetries of Galois representations, by Andrea Conti (University of Luxembourg)
- 10 March 2020: Bost's p-curvature conjecture for the Gauss-Manin connection on non-abelian de Rham cohomology, by Max Menzies (Tsinghua University)
- 12 May 2020: p-adic L-functions, by Chenyan Wu
- 26 May 2020: Defining newforms in characteristic p, by Daniel Johnston
- 19 August 2020: Introduction to admissible representations of \(\mathrm{GL}(2)\) and Kirillov model, by Chenyan Wu
- 26 August 2020: Kirillov model I, by Alex Ghitza
- 2 September 2020: Kirillov model II, by Alex Ghitza
- 9 September 2020: Whittaker model and Jacquet functor, by Milton Lin
- 16 September 2020: Contragredient representations, by Milton Lin
- 23 September 2020: Principal series representations and supercuspidal representations, by Finn McGlade
- 30 September 2020: Criterion and examples of supercuspidal representations (following Bushnell and Henniart, The local Langlands Conjecture for \(\mathrm{GL}(2)\)), by Finn McGlade
- 14 October 2020: More on principal series representations, by Chenyan Wu
- 21 October 2020: Even more on principal series representations, by Chenyan Wu
- 28 October 2020: Functional equation of zeta integrals, by Alex Ghitza
- 2 December 2020: Local gamma factors and review of L-functions for \(\mathrm{GL}(1)\), by Alex Ghitza
- 9 December 2020: Local L-factors for \(\mathrm{GL}(2)\), by Chenyan Wu