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