Langlands program | Algebraic geometry | Representation theory

Geometric Langlands correspondence

In mathematics, the geometric Langlands correspondence is a reformulation of the Langlands correspondence obtained by replacing the number fields appearing in the original number theoretic version by function fields and applying techniques from algebraic geometry. The geometric Langlands correspondence relates algebraic geometry and representation theory. (Wikipedia).

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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

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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

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Geometric Langlands correspondence via quantization in positive characteristic - Roman Travkin

Geometric Langlands correspondence via quantization in positive characteristic Speaker: Roman Travkin, Member, School of Mathematics Time/Room: 2:30pm - 2:45pm/S-101 More videos on http://video.ias.edu

From playlist Mathematics

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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

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STPM - Geometric Realization of the Local Langlands Correspondence - Sug Woo Shin

STPM - Geometric Realization of the Local Langlands Correspondence - Sug Woo Shin Institute for Advanced Study September 29, 2010 For more videos, visit http://video.ias.edu

From playlist Mathematics

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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

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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

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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

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The Geometric Langlands conjecture and non-abelian Hodge theory (Lecture 1) 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

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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

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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

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Gauge Theory and the Analytic Approach to Geometric Langlands - Edward Witten

Clay Research Conference Topic: Gauge Theory and the Analytic Approach to Geometric Langlands Speaker: Edward Witten Affiliation: Professor, School of Natural Sciences Date: September 30, 2021 Recently P. Etingof, E. Frenkel, and D. Kazhdan, following earlier contributions by R. Langl

From playlist Mathematics

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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

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James Arthur: The Langlands program: arithmetic, geometry and analysis

Abstract: As the Abel Prize citation points out, the Langlands program represents a grand unified theory of mathematics. We shall try to explain in elementary terms what this means. We shall describe an age old question concerning the arithmetic prime numbers, together with a profound gene

From playlist Abel Lectures

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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

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Quasi-topological gauged sigma models, the geometric Langlands program, and knots by Meng-Chwan Tan

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

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Quantization in modular setting, and its applications - Roman Travkin

Short Talks by Postdoctoral Members Roman Travkin - September 30, 2015 http://www.math.ias.edu/calendar/event/88334/1443637800/1443638700 More videos on http://video.ias.edu

From playlist Short Talks by Postdoctoral Members

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The categorical geometric Langlands conjecture - Lin Chen

Short Talks by Postdoctoral Members Topic: The categorical geometric Langlands conjecture Speaker: Lin Chen Affiliation: Member, School of Mathematics Date: September 21, 2022

From playlist Mathematics

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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

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Fermat's Last Theorem | Function field of an algebraic variety | Taniyama–Shimura conjecture | Algebraic geometry | Number theory | Representation theory