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#Langlands Program

Showing: 36 courses
University of Chicago Department of Mathematics

Representations of Reductive Groups Over Local and Global Fields

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Dive into Langlands' theory of reductive groups and their representations in number theory, exploring local and global fields and their connections to arithmetic and geometry.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institute for Advanced Study

Exceptional Splitting of Reductions of Abelian Surfaces With Real Multiplication - Yunqing Tang

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Explore real multiplication in abelian surfaces, focusing on exceptional splitting of reductions. Delve into simple reduction, finite extension, and density zero concepts with insights on special devices and intersection numbers.
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18 Lesons
1 hour 1 minute
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Class Field Theory Standpoint and Its Three Fundamental Generalisations - Lecture 2

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Delve into advanced class field theory concepts, exploring Takagi's existence theory, Mochizuki's IUT theory, and modern perspectives on Langlands program and anabelian geometry.
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1 Lesons
2 hours 2 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Geometric Langlands Conjecture and Non-Abelian Hodge Theory - Lecture 1

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Explore the Geometric Langlands conjecture and non-abelian Hodge theory, examining connections between quantum fields, geometry, and representation theory in modern mathematics and theoretical physics.
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19 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Fields Institute

The Glamorous Variety

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Explore the aesthetic virtue of glamour in mathematics, focusing on semistable curves, modular curves, perfectoid rings, and connections to the Langlands program.
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17 Lesons
56 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

An Introduction to Spectral Data for Higgs Bundles

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Explore spectral data for Higgs bundles, a key concept in algebraic geometry and mathematical physics, with insights on integrable systems and moduli spaces.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
World Science Festival

Mathematics - The Language of Nature

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Explore symmetry's role in math and physics with Edward Frenkel, delving into the Langlands program and its potential for unifying mathematical theories in this engaging lecture.
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1 Lesons
56 minutes
On-Demand
Free-Video
International Mathematical Union

Marie-France Vignéras- Modular Representations of P-Adic Groups

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Explore modular representations of p-adic groups in the Langlands program, examining their connections to number theory and geometry using various vector spaces and modules.
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1 Lesons
56 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
59 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 18

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Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 14

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 3

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Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
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1 Lesons
43 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 8

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur.
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1 Lesons
45 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 7

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Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
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1 Lesons
54 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 6

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
56 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 5

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

An Introduction to the Langlands Program

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Explore the fascinating Langlands Program, a groundbreaking mathematical theory connecting number theory, geometry, and representation theory, in this engaging lecture by Clifton Cunningham.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Categorical Local Langlands for GL_n - The Irreducible Case with Integral Coefficients

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Explore the Fargues-Scholze conjecture for GL_n, focusing on irreducible parameters with integral coefficients. Learn about category localizations and L-packets in this advanced mathematical lecture.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Numberphile

The Langlands Program

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Explore the Langlands Program, a grand unified theory of mathematics, with Professor Edward Frenkel. Discover connections between different mathematical fields and their profound implications.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Fields Institute

Motives and Automorphic Representations

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Explore the intricate connection between motives and automorphic representations in mathematics, delving into advanced concepts and their applications in number theory.
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1 Lesons
40 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Modularity and Monodromy

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Explore the intricate relationship between modularity and monodromy in mathematics, delving into advanced concepts and their applications in number theory and algebraic geometry.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Motives and Automorphic Representations

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Explore motives and automorphic representations in advanced mathematics with James Arthur's insightful conference talk at CIRM.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Zeta Functions of Shimura Varieties: Past, Present, and the Near Future

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Explore Zeta functions of Shimura varieties, covering historical developments, current research, and future directions in this advanced mathematical topic.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Counting Non-Tempered Automorphic Forms Using Endoscopy

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Explore advanced concepts in automorphic forms and endoscopy, focusing on counting non-tempered forms and their mathematical implications.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Banach Center

Mathematical Grand Unification

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Explore the concept of mathematical grand unification through a thought-provoking lecture by Bartosz Naskręcki, delving into conjectures and potential connections across mathematical fields.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

What is an L-function? - An Introduction to Zeta and L-functions in Number Theory

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Explore the evolution of L-functions from Euler to Langlands, understanding their crucial role in prime number distribution and mathematical research.
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1 Lesons
1 hour
On-Demand
Free-Video
BIMSA

The Langlands Project - Connecting Automorphic Forms and Number Theory

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Explore the Langlands project's deep connection between automorphic forms and arithmetic, tracing its roots and current challenges in mathematics.
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1 Lesons
56 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Point Counting over Finite Fields and the Cohomology of Moduli Spaces of Curves

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Explore algebraic geometry through point counting over finite fields and cohomology of moduli spaces of curves, resolving longstanding questions and confirming Langlands program predictions.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
BIMSA

Spherical Functions and Mirror Symmetry

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Explore spherical functions and mirror symmetry in mathematics, bridging quantum physics and the Langlands Program through innovative interdisciplinary approaches.
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1 Lesons
40 minutes
On-Demand
Free-Video
BIMSA

New Geometric Structures in the Langlands Program

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Explore new geometric structures in the Langlands program, including the moduli space of G-bundles on the curve, and their role in constructing the semi-simple local Langlands correspondence.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
BIMSA

Functions on the Commuting Stack via Langlands Duality - ICBS 2024

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Explore complex reductive group theory, analyzing cocenters of affine Hecke categories and calculating Whittaker object endomorphisms to derive formulas for commuting stacks.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
BIMSA

The Global Unramified Geometric Langlands Equivalence

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Explore the global unramified geometric Langlands conjecture, its history, motivation, and recent proof, along with remaining open questions in the field.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Real Reductive Groups, K-Theory and the Oka Principle

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Explore real reductive groups, K-theory, and the Oka principle in this advanced mathematics lecture, delving into representation theory and complex analysis concepts.
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11 Lesons
1 hour 10 minutes
On-Demand
Free-Video
NCCR SwissMAP

Quantum Analytic Langlands - Quantisation of Moduli Spaces

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Explore quantisation of moduli spaces through diverse perspectives, delving into the intricacies of Quantum Analytic Langlands theory.
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1 Lesons
2 hours 26 minutes
On-Demand
Free-Video
BunG Seminar

Shtukas and Global Langlands for Function Fields - Talk 37

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Delve into V. Lafforgue's groundbreaking proof of global Langlands correspondence, exploring shtukas, geometric Satake, and excursion operators in function fields through expert analysis.
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1 Lesons
2 hours 7 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Symptotics of the Second Moment of GL(3) Twisted L-functions

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Delve into advanced number theory concepts focusing on GL(3) twisted L-functions, their second moment asymptotics, and applications in the circle method within analytic number theory.
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1 Lesons
55 minutes
On-Demand
Free-Video