Fred Diamond, Geometric Serre weight conjectures and theta operators
VaNTAGe Seminar, April 26, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in the talk: Ash-Sinott: https://arxiv.org/abs/math/9906216 Ash-Doud-Pollack: https://arxiv.org/abs/math/0102233 Buzzard-Diamond-Jarvis: https://www.ma.imperial.ac.uk/~buzzard/maths/research/paper
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
Modularity of Galois Representations - Chandrashekhar Khare
Chandrashekhar Khare University of California, Los Angeles November 22, 2010 In this expository talk, I will outline a plausible story of how the study of congruences between modular forms of Serre and Swinnerton-Dyer, which was inspired by Ramanujan's celebrated congruences for his tau-f
From playlist Mathematics
Recent progress on Serre weight conjectures - Bao Le Hung
Topic: Recent progress on Serre weight conjectures Speaker: Bao Le Hung, University of Chicago Time/Room: 4:30pm - 5:30pm/S-101 More videos on http://video.ias.edu
From playlist Mathematics
Chandrashekhar Khare, Serre's conjecture and computational aspects of the Langlands program
VaNTAGe Seminar, April 5, 2022 License: CC-BY-NC-SA Some relevant links: Edixhoven-Couveignes-de Jong-Merkl-Bosman: https://arxiv.org/abs/math/0605244 Ramanujan's 1916 paper: http://ramanujan.sirinudi.org/Volumes/published/ram18.pdf Delta's home page in the LMFDB: https://www.lmfdb.org/
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
This lecture is part of an online graduate course on modular forms. We introduce modular forms, and give several examples of how they were used to solve problems in apparently unrelated areas of mathematics. I will not be following any particular book, but if anyone wants a suggestion
From playlist Modular forms
Serre's Conjectures on the Number of Rational Points of Bounded Height - Per Salberger
Per Salberger Chalmers University of Technology April 28, 2011 JOINT IAS/PU NUMBER THEORY SEMINAR We give a survey of recent results on conjectures of Heath-Brown and Serre on the asymptotic density of rational points of bounded height. The main tool in the proofs is a new global determin
From playlist Mathematics
Ana Caraiani, Modularity over CM fields
VaNTAGe Seminar, May 24, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in the talk: Freitas-Le Hung-Siksek: https://arxiv.org/abs/1310.7088 Poonen-Schaefer-Stoll: https://arxiv.org/abs/math/0508174 Harris-Lan-Taylor-Thorne: https://link.springer.com/article/10.1186/s406
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
Hanneke Wiersema, Minimal weights of mod-p Galois representations
VaNTAGe Seminar, April 12, 2022 License: CC-BY-NC-SA
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
John Voight: Computing classical modular forms as orthogonal modular forms
Abstract: Birch gave an extremely efficient algorithm to compute a certain subspace of classical modular forms using the Hecke action on classes of ternary quadratic forms. We extend this method to compute all forms of non-square level using the spinor norm, and we exhibit an implementatio
From playlist Algebraic and Complex Geometry
Serre's Conjecture for GL_2 over Totally Real Fields (Lecture 1) by Fred Diamond
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
Serre's Conjecture for GL_2 over Totally Real Fields (Lecture 2) by Fred Diamond
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
Filip Najman, Q-curves over odd degree fields and sporadic points
VaNTAGe seminar June 29, 2021 License: CC-BY-NC-SA
From playlist Modular curves and Galois representations
Kiran Kedlaya, The Sato-Tate conjecture and its generalizations
VaNTAGe seminar on March 24, 2020 License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Ken Ribet, Ogg's conjecture for J0(N)
VaNTAGe seminar, May 10, 2022 Licensce: CC-BY-NC-SA Links to some of the papers mentioned in the talk: Mazur: http://www.numdam.org/article/PMIHES_1977__47__33_0.pdf Ogg: https://eudml.org/doc/142069 Stein Thesis: https://wstein.org/thesis/ Stein Book: https://wstein.org/books/modform/s
From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)
Serre's Conjecture for GL_2 over Totally Real Fields (Lecture 4) by Fred Diamond
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
Serre's Conjecture for GL_2 over Totally Real Fields (Lecture 3) by Fred Diamond
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
Étale cohomology Lecture II, 8/25/2020
Serre's complex analogue of the Riemann hypothesis, étale morphisms, intro to sites
From playlist Étale cohomology and the Weil conjectures
Multiplicities in Selmer Groups and Root Numbers for Artin Twists by Tathagata Mandal
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)