## $p$-adic local Langlands for $\mathrm{GL}_2(\mathbb{Q}_p)$ study group

In Summer 2020 Andrew Graham and I ran a study group on Paškūnas's paper [Paš2] and related topics. Notes, slides, and videos are included below.

Speaker Date Topic Notes References
Study group plan PDF See PDF
Abi May 1, 2020 Mod $p$ and integral $p$-adic representations of $\mathrm{GL}_n(\mathbb{Q}_p)$ Notes [Eme1], [Her1], [New]
Ashwin May 8, 2020 Irreducible smooth admissible mod $p$ representations of $\mathrm{GL}_n(F)$ Notes [AHHV], [Bre], [GK], [Her2], [Her3]
Andy May 15, 2020 Ext groups between irreducible representations Typed notes and written notes [Eme2], [Oll], [Paš1], [Vig]
Ashvni May 22, 2020 Banach $L$-representations Slides and handwritten proofs [Paš2]
Pol May 28, 2020 Locally finite abelian categories Video (caution, big file) [Gab]
Ashwin June 5, 2020 Paškūnas's deformation theory Notes [Paš2]
Sam June 19, 2020 Galois representations and phi-gamma modules Notes and Video (pw: 2g@0M%8#) [Ber]
Waqar June 26, 2020 Colmez's Montréal Functor [Col]
Ashwin July 31, 2020 Deformation Theory for Supersingular Representations Notes and video [Kis], [Paš1], [Paš2]