Jean-Pierre Serre: How to prove that Galois groups are "large"
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
9 - Groupes de Galois, le cas abélien
Orateur(s) : J.-P. Serre Public : Tous Date : jeudi 27 octobre Lieu : Institut Henri Poincaré
From playlist Colloque Evariste Galois
This lecture is part of an online graduate course on Lie groups. We give an introductory survey of Lie groups theory by describing some examples of Lie groups in low dimensions. Some recommended books: Lie algebras and Lie groups by Serre (anything by Serre is well worth reading) Repre
From playlist Lie groups
Group theory 4: Lagrange's theorem
This is lecture 4 of an online course on mathematical group theory. It introduces Lagrange's theorem that the order of a subgroup divides the order of a group, and uses it to show that all groups of prime order are cyclic, and to prove Fermat's theorem and Euler's theorem.
From playlist Group theory
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)
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)
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)
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
Les 10 ans du Groupe Calcul - Alain Bossavit, SUPELEC
Alain Bossavit, SUPELEC "L'évolution des méthodes de calcul en électromagnétisme: Des différences finies aux méthodes 'mimétiques' modernes"
From playlist Les 10 ans du Groupe Calcul
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
Padma Srinivasan, Computing exceptions primes for Galois representations of abelian surfaces
VaNTAGe Seminar on Dec 8, 2020 License CC-BY-NC-SA
From playlist ICERM/AGNTC workshop updates
Dihedral Group (Abstract Algebra)
The Dihedral Group is a classic finite group from abstract algebra. It is a non abelian groups (non commutative), and it is the group of symmetries of a regular polygon. This group is easy to work with computationally, and provides a great example of one connection between groups and geo
From playlist Abstract Algebra
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)
Minerva Lectures 2012 - J.P. Serre Talk 2: How to use linear algebraic groups
J.P. Serre Talk 2: How to use linear algebraic groups For more information please visit: http://www.math.princeton.edu/events/seminars/minerva-lectures/inaugural-minerva-lectures-ii-how-use-linear-algebraic-groups
From playlist Minerva Lectures J.P. Serre
Interview at CIRM : Jean-Pierre SERRE (ABEL PRIZE 2003, Fields Medal 1954) avec JL COLLIOT-THELENE
Entretien au CIRM : Jean-Pierre SERRE avec Jean-Louis COLLIOT-THELENE Dans le cadre de la rencontre "Méthodes cohomologiques dans la théorie des groupes algébriques" organisée au Cirm du 31 août au 4 septembre 2015 - http://programme-scientifique.weebly.com/1001.html Jean-Pierre SERRE, m
From playlist Interviews en français - French interviews
B. Rémy - Génération de groupes topologiques simples
Les groupes finis simples sont connus pour être engendrés par des paires d’éléments bien choisies. On peut se poser la même question avec des groupes topologiques : que peut-on espérer comme partie engendrant un sous-groupe dense ? Évidemment, la réponse dépend des groupes considérés ; on
From playlist 70 ans des Annales de l'institut Fourier
On Grothendieck–Serre conjecture concerning principal bundles – Ivan Panin – ICM2018
Algebra Invited Lecture 2.1 On Grothendieck–Serre conjecture concerning principal bundles Ivan Panin Abstract: Let R be a regular local ring. Let G be a reductive group scheme over R. A well-known conjecture due to Grothendieck and Serre assertes that a principal G-bundle over R is trivi
From playlist Algebra
