Summer School on the Langlands Program

Collection Summer School on the Langlands Program

Organizer(s) Pierre-Henri Chaudouard, Wee Teck Gan, Tasho Kaletha, Yiannis Sakellaridis

Date(s) 11/07/2022 - 29/07/2022

linked URL https://indico.math.cnrs.fr/event/6909/

00:00:00 / 00:00:00

46 58

Shimura Varieties and Modularity (1/3)

By Ana Caraiani, Sug Woo Shin

We describe the construction of Galois representations associated to regular algebraic cuspidal automorphic representations of GL_n over a CM field, as well as those Galois representations associated to torsion classes that occur in the Betti cohomology of the corresponding locally symmetric spaces. The emphasis will be on Scholze’s proof, which applies to torsion classes and which uses perfectoid Shimura varieties and the Hodge-Tate period morphism.

Information about the video

Date of recording 26/07/2022
Date of publication 26/07/2022
Institution IHES
Language English
Audience Researchers, Graduate Students
Format MP4

Domain(s)

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All the collection videos

01:20:52

published on July 12, 2022

The Local Langlands Conjecture (1/3)

By Olivier Taïbi

01:16:42

published on July 12, 2022

Some Perspectives on Eisenstein Series (1/2)

By Erez Lapid

01:04:43

published on July 12, 2022

The Local Langlands Conjecture (2/3)

By Olivier Taïbi

01:07:41

published on July 12, 2022

Shimura Varieties (1/3)

By Sophie Morel

01:39:10

published on July 12, 2022

Introduction to the (Relative) Trace Formula (1/2)

By Pierre-Henri Chaudouard

01:00:49

published on July 13, 2022

Some Perspectives on Eisenstein Series (2/2)

By Erez Lapid

01:07:28

published on July 12, 2022

Shimura Varieties (2/3)

By Sophie Morel

01:00:49

published on July 13, 2022

The Local Langlands Conjecture (3/3)

By Olivier Taïbi

01:17:38

published on July 13, 2022

Introduction to the (Relative) Trace Formula (2/2)

By Pierre-Henri Chaudouard

01:23:44

published on July 13, 2022

Arthur's Conjectures and the Orbit Method for Real Reductive Groups

By Lucas Mason-Brown

01:03:33

published on July 13, 2022

Introduction to Shtukas and their Moduli (1/3)

By Zhiwei Yun

01:04:05

published on July 13, 2022

Shimura Varieties (3/3)

By Sophie Morel

01:24:11

published on July 14, 2022

The Relative Langlands Program (1/3)

By Raphaël Beuzart Plessis

01:22:24

published on July 14, 2022

Coherent Sheaves on the Stack of Langlands Parameters (1/3)

By Xinwen Zhu

59:23

published on July 14, 2022

Introduction to Shtukas and their Moduli (2/3)

By Zhiwei Yun

01:04:55

published on July 14, 2022

Introduction to Shtukas and their Moduli (3/3)

By Zhiwei Yun

01:25:38

published on July 15, 2022

The Relative Langlands Program (2/3)

By Raphaël Beuzart Plessis

01:19:33

published on July 15, 2022

Coherent Sheaves on the Stack of Langlands Parameters (2/3)

By Xinwen Zhu

01:04:18

published on July 16, 2022

Coherent Sheaves on the Stack of Langlands Parameters (3/3)

By Xinwen Zhu

01:03:17

published on July 16, 2022

The Relative Langlands Program (3/3)

By Raphaël Beuzart Plessis

01:26:25

published on July 18, 2022

A Brief Introduction to the Trace Formula and its Stabilization (1/2)

By Tasho Kaletha

01:18:05

published on July 18, 2022

Local Shtukas and the Langlands Program (1/2)

By Jared Weinstein

01:02:00

published on July 18, 2022

Orbital integrals, moduli spaces and invariant theory (1/3)

By Bao Chau Ngo

53:16

published on July 18, 2022

Orbital integrals, moduli spaces and invariant theory (2/3)

By Bao Chau Ngo

01:24:28

published on July 19, 2022

Local Shtukas and the Langlands Program (2/2)

By Jared Weinstein

01:29:54

published on July 19, 2022

A Brief Introduction to the Trace Formula and its Stabilization (2/2)

By Tasho Kaletha

01:06:01

published on July 19, 2022

Cohomology Sheaves of Stacks of Shtukas (1/2)

By Cong Xue

01:08:20

published on July 20, 2022

Cohomology Sheaves of Stacks of Shtukas (2/2)

By Cong Xue

01:31:40

published on July 20, 2022

An Introduction to the Categorical p-adic Langlands Program (1/4)

By Matthew Emerton , Toby Gee , Eugen Hellmann

01:25:38

published on July 20, 2022

Orbital integrals, moduli spaces and invariant theory (3/3)

By Bao Chau Ngo

01:02:30

published on July 21, 2022

What does geometric Langlands mean to a number theorist? (1/2)

By Sam Raskin

01:30:43

published on July 21, 2022

What does geometric Langlands mean to a number theorist? (2/2)

By Sam Raskin

01:26:55

published on July 21, 2022

The Langlands Program and the Moduli of Bundles on the Curve (1/3)

By Peter Scholze , Laurent Fargues

01:24:22

published on July 21, 2022

Explicit Constructions of Automorphic Forms (1/2)

By Wee Teck Gan

01:05:10

published on July 21, 2022

An Introduction to the Categorical p-adic Langlands Program (2/4)

By Matthew Emerton , Toby Gee , Eugen Hellmann

01:07:10

published on July 22, 2022

An Introduction to the Categorical p-adic Langlands Program (3/4)

By Matthew Emerton , Toby Gee , Eugen Hellmann

01:24:15

published on July 22, 2022

On Moduli Spaces of Local Langlands Parameters (1/2)

By Jean-François Dat

01:23:03

published on July 22, 2022

Explicit Constructions of Automorphic Forms (2/2)

By Wee Teck Gan

01:03:25

published on July 24, 2022

Supercuspidal Representations: Construction, Classification, and Characters (1/2)

By Jessica Fintzen

01:07:10

published on July 24, 2022

The Langlands Program and the Moduli of Bundles on the Curve (2/3)

By Peter Scholze , Laurent Fargues

01:28:15

published on July 25, 2022

An Introduction to the Categorical p-adic Langlands Program (4/4)

By Matthew Emerton , Toby Gee , Eugen Hellmann

01:22:23

published on July 25, 2022

Supercuspidal Representations: Construction, Classification, and Characters (2/2)

By Jessica Fintzen

01:01:47

published on July 26, 2022

Branching laws: homological aspects

By Dipendra Prasad

01:07:27

published on July 26, 2022

On Moduli Spaces of Local Langlands Parameters (2/2)

By Jean-François Dat

01:20:27

published on July 27, 2022

The Langlands Program and the Moduli of Bundles on the Curve (3/3)

By Peter Scholze , Laurent Fargues

01:27:06

published on July 26, 2022

Shimura Varieties and Modularity (1/3)

By Ana Caraiani , Sug Woo Shin

01:04:30

published on July 27, 2022

Shimura Varieties and Modularity (2/3)

By Ana Caraiani , Sug Woo Shin

01:02:30

published on July 27, 2022

Geometric and Arithmetic Theta Correspondences (1/2)

By Chao Li

01:27:05

published on July 27, 2022

Shimura Varieties and Modularity (3/3)

By Ana Caraiani , Sug Woo Shin

01:17:59

published on July 28, 2022

Geometric and Arithmetic Theta Correspondences (2/2)

By Chao Li

01:26:19

published on July 28, 2022

High-dimensional Gross–Zagier Formula (1/2)

By Wei Zhang

01:27:27

published on July 28, 2022

Between Coherent and Constructible Local Langlands Correspondences

By David Ben-Zvi

01:08:29

published on July 29, 2022

Derived Aspects of the Langlands Program (1/3)

By Michael Harris , Tony Feng

01:04:08

published on July 29, 2022

Local and Global Questions “Beyond Endoscopy” (1/2)

By Yiannis Sakellaridis

01:20:48

published on July 29, 2022

Derived Aspects of the Langlands Program (2/3)

By Michael Harris , Tony Feng

01:27:18

published on July 29, 2022

High-dimensional Gross–Zagier Formula (2/2)

By Wei Zhang

01:03:24

published on July 29, 2022

Local and Global Questions “Beyond Endoscopy” (2/2)

By Yiannis Sakellaridis

01:04:31

published on July 29, 2022

Derived Aspects of the Langlands Program (3/3)

By Michael Harris , Tony Feng

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