The Weil-Deligne group, and Langlands parameters.
In this video exploring the local Langlands conjectures, we dive deeper into the definitions of the Langlands L group, and the definition of the Weil-Deligne group, allowing us to get a better sense of what Langlands parameters are, and their connection to Galois representations.
From playlist The local Langlands correspondence
Bourbaki - 16/01/2016 - 3/4 - Dennis GAITGORY
Geometric Langlands as an equivalence of categories Classical Langlands correspondence aims to parameterize irreducible automorphic representations in terms of homomorphisms of the Galois group into the Langlands dual group. In this talk we will explain how, in the geometric situation, Lan
From playlist Bourbaki - 16 janvier 2016
Philsang Yoo: Langlands duality and quantum field theory
Abstract: It is believed that certain physical duality underlies various versions of Langlands duality in its geometric incarnation. By setting up a mathematical model for relevant physical theories, we suggest a program that enriches mathematical subjects such as geometric Langlands theor
From playlist Algebra
David Ben-Zvi - Between Coherent and Constructible Local Langlands Correspondences
(Joint with Harrison Chen, David Helm and David Nadler.) Refined forms of the local Langlands correspondence seek to relate representations of reductive groups over local fields with sheaves on stacks of Langlands parameters. But what kind of sheaves? Conjectures in the spirit of Kazhdan
From playlist 2022 Summer School on the Langlands program
Samuel Raskin: Spectral decomposition of the principal series category
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 Algebraic and Complex Geometry
Jean-François Dat - 2/2 On Moduli Spaces of Local Langlands Parameters
The moduli space of local Langlands parameters plays a key role in the formulation of some recent enhancements of the original local Langlands correspondence, such as the "local Langlands correspondence in families" and various "categorifications/geometrizations of LLC". We will explain
From playlist 2022 Summer School on the Langlands program
Edward Witten: Mirror Symmetry & Geometric Langlands [2012]
2012 FIELDS MEDAL SYMPOSIUM Thursday, October 18 Geometric Langlands Program and Mathematical Physics 1.30am-2.30pm Edward Witten, Institute for Advanced Study, Princeton "Superconformal Field Theory And The Universal Kernel of Geometric Langlands" The universal kernel of geometric Langl
From playlist Number Theory
David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 2
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 Algebraic and Complex Geometry
David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 1
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 Algebraic and Complex Geometry
Lecture 1: Geometric Langlands and S-duality in N = 4 SYM by Sergei Gukov
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
The Geometric Langlands conjecture and non-abelian Hodge theory (Lecture 2) by Ron Donagi
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Local relative trace formulas - Raphaël Beuzart-Plessis
Raphaël Beuzart-Plessis Member, School of Mathematics September 25, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Geordie Williamson: Geometric Representation Theory and the Geometric Satake Equivalence
MSI Virtual Colloquium: Geometric Representation Theory and the Geometric Satake Equivalence Geordie Williamson (University of Sydney) During this colloquium Geordie will explain in very broad terms, what the Langlands correspondence is and why people care about it. He will then explain i
From playlist Geordie Williamson: Representation theory and the Geometric Satake
An introduction to spectral data for Higgs bundles.. by Laura Schaposnik
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
The Geometric Langlands conjecture and non-abelian Hodge theory (Lecture 3) by Ron Donagi
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Edward Frenkel: Langlands Program and Unification
Abstract: Sophia Kovalevskaya wrote, "It is not possible to be a mathematician without being a poet at heart. A poet should see what others can’t see, see deeper than others. And that’s the job of a mathematician as well.” The work of Robert Langlands sets a great example for this maxim, a
From playlist Abel Lectures
Yiannis Sakellaridis - 1/2 Local and Global Questions “Beyond Endoscopy”
The near-completion of the program of endoscopy poses the question of what lies next. These talks will take a broad view of ideas beyond the program of endoscopy, highlighting the connections among them, and emphasizing the relationship between local and global aspects. Central among thos
From playlist 2022 Summer School on the Langlands program
Anton Alekseev: Poisson-Lie duality and Langlands duality via Bohr-Sommerfeld
Abstract: Let G be a connected semisimple Lie group with Lie algebra 𝔤. There are two natural duality constructions that assign to it the Langlands dual group G^∨ (associated to the dual root system) and the Poisson-Lie dual group G^∗. Cartan subalgebras of 𝔤^∨ and 𝔤^∗ are isomorphic to ea
From playlist Topology