Summer School on the Langlands Program

from Monday, 11 July 2022 (08:30) to Friday, 29 July 2022 (19:00)
IHES (Marilyn and James Simons Conference Center)

        : Sessions
    /     : Talks
        : Breaks
11 Jul 2022
12 Jul 2022
13 Jul 2022
14 Jul 2022
15 Jul 2022
18 Jul 2022
19 Jul 2022
20 Jul 2022
21 Jul 2022
22 Jul 2022
25 Jul 2022
26 Jul 2022
27 Jul 2022
28 Jul 2022
29 Jul 2022
AM
09:00 --- Welcome coffee and registration ---
09:20 The Local Langlands Conjecture (1/3) - Prof. Olivier TAÏBI (ENS Lyon)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 Some Perspectives on Eisenstein Series (1/2) - Prof. Erez LAPID (Weizmann Institute)   (Marilyn and James Simons Conference Center)
09:00 --- Welcome Coffee ---
09:20 Introduction to the (Relative) Trace Formula (1/2) - Prof. Pierre-Henri CHAUDOUARD (IMJ-PRG)   (Marilyn and James Simons Conference Center)
11:00 --- Coffee break ---
11:20 Some Perspectives on Eisenstein Series (2/2) - Prof. Erez LAPID (Weizmann Institute)   (Marilyn and James Simons Conference Center)
09:00 --- Welcome coffee ---
09:20 Introduction to the (Relative) Trace Formula (2/2) - Prof. Pierre-Henri CHAUDOUARD (IMJ-PRG)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 Arthur’s Conjectures and the Orbit Method for Real Reductive Groups - Prof. Lucas MASON-BROWN (Univ. Oxford)   (Marilyn and James Simons Conference Center)
09:00 --- Welcome coffee ---
09:20 The Relative Langlands Program (1/3) - Prof. Raphaël BEUZART-PLESSIS (Univ. Aix-Marseille)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 Coherent Sheaves on the Stack of Langlands Parameters (1/3) - Prof. Xinwen ZHU (Caltech)   (Marilyn and James Simons Conference Center)
09:00 --- Welcome coffee ---
09:20 The Relative Langlands Program (2/3) - Prof. Raphaël BEUZART-PLESSIS (Univ. Aix-Marseille)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 Coherent Sheaves on the Stack of Langlands Parameters (2/3) - Prof. Xinwen ZHU (Caltech)   (Marilyn and James Simons Conference Center)
09:00 --- Welcom coffee ---
09:20 A Brief Introduction to the Trace Formula and its Stabilization (1/2) - Prof. Tasho KALETHA (Univ. Michigan)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 Local Shtukas and the Langlands Program (1/2) - Prof. Jared WEINSTEIN (Boston Univ.)   (Marilyn and James Simons Conference Center)
09:00 --- Coffee ---
09:20 Local Shtukas and the Langlands Program (2/2) - Prof. Jared WEINSTEIN (Boston Univ.)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 A Brief Introduction to the Trace Formula and its Stabilization (2/2) - Prof. Tasho KALETHA (Univ. Michigan)   (Marilyn and James Simons Conference Center)
09:00 --- Welcome coffee ---
09:20 An Introduction to the Categorical p-adic Langlands Program (1/4) - Prof. Toby GEE (Imperial College) Prof. Matthew EMERTON (Chicago Univ.) Prof. Eugen HELLMAN (Univ. Münster)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 Orbital integrals, Hitchin type module spaces and invariant theory (title to be confirmed) (3/3) - Prof. Bao Châu NGÔ   (Marilyn and James Simons Conference Center)
09:00 --- Welcome coffee ---
09:20 The Langlands Program and the Moduli of Bundles on the Curve (1/3) - Prof. Peter SCHOLZE (Univ. Bonn) Prof. Laurent FARGUES (IMJ-PRG)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 Explicit Constructions of Automorphic Forms (1/2) - Prof. Wee Teck GAN (Nat. Univ. Singapour)   (Marilyn and James Simons Conference Center)
09:00 --- Welcome coffee ---
09:20 On Moduli Spaces of Local Langlands Parameters (1/2) - Prof. Jean-François DAT (IMJ-PRG)   (Marilyn and James Simons Conference Center)
10:40 --- Coffe break ---
11:00 Explicit Constructions of Automorphic Forms (2/2) - Prof. Wee Teck GAN (Nat. Univ. Singapour)   (Marilyn and James Simons Conference Center)
09:00 --- Welcome coffee ---
09:20 An Introduction to the Categorical p-adic Langlands Program (3/4) - Prof. Eugen HELLMAN (Univ. Münster) Prof. Toby GEE (Imperial College) Prof. Matthew EMERTON (Chicago Univ.)   (Marilyn and James Simons Conference Center)
10:40 --- Coffe break ---
11:00 Supercuspidal Representations: Construction, Classification, and Characters (2/2) - Prof. Jessica FINTZEN (Duke Univ. & Cambridge Univ.)   (Marilyn and James Simons Conference Center)
09:00 --- Welcome coffee ---
09:20 The Langlands Program and the Moduli of Bundles on the Curve (3/3) - Prof. Peter SCHOLZE (Univ. Bonn) Prof. Laurent FARGUES (IMJ-PRG)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 An Introduction to the Categorical p-adic Langlands Program (4/4) - Prof. Matthew EMERTON (Chicago Univ.) Prof. Toby GEE (Imperial College) Prof. Eugen HELLMAN (Univ. Münster)   (Marilyn and James Simons Conference Center)
09:00 --- Welcome coffee ---
09:20 Shimura Varieties and Modularity (3/3) - Prof. Sug Woo SHIN (UC Berkeley) Prof. Ana CARAIANI (Imperial College)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 Geometric and Arithmetic Theta Correspondences (2/2) - Prof. Chao LI (Columbia Univ.)   (Marilyn and James Simons Conference Center)
09:00 --- Welcome coffee ---
09:20 High-dimensional Gross–Zagier Formula (1/2) - Prof. Wei ZHANG (MIT)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 Between Coherent and Constructible Local Langlands Correspondences - Prof. David BEN-ZVI (UT Austin)   (Marilyn and James Simons Conference Center)
09:00 --- Welcome coffee ---
09:20 Derived Aspects of the Langlands Program (2/3) - Prof. Tony FENG (MIT) Prof. Michael HARRIS (Columbia Univ.)   (Marilyn and James Simons Conference Center)
10:40 --- Coffee break ---
11:00 High-dimensional Gross–Zagier Formula (2/2) - Prof. Wei ZHANG (MIT)   (Marilyn and James Simons Conference Center)
PM
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break (buffet at IHES) ---
15:00 The Local Langlands Conjecture (2/3) - Prof. Olivier TAÏBI (ENS Lyon)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 Shimura Varieties: outline (1/3) - Prof. Sophie MOREL (ENS Lyon)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Shimura Varieties: outline (2/3) - Prof. Sophie MOREL (ENS Lyon)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 The Local Langlands Conjecture (3/3) - Prof. Olivier TAÏBI (ENS Lyon)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Introduction to Shtukas and their Moduli (1/3) - Prof. Zhiwei YUN (MIT)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 Shimura Varieties: outline (3/3) - Prof. Sophie MOREL (ENS Lyon)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Introduction to Shtukas and their Moduli (2/3) - Prof. Zhiwei YUN (MIT)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 Introduction to Shtukas and their Moduli (3/3) - Prof. Zhiwei YUN (MIT)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Coherent Sheaves on the Stack of Langlands Parameters (3/3) - Prof. Xinwen ZHU (Caltech)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 The Relative Langlands Program (3/3) - Prof. Raphaël BEUZART-PLESSIS (Univ. Aix-Marseille)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break (buffet at IHES) ---
15:00 Orbital integrals, Hitchin type module spaces and invariant theory (title to be confirmed) (1/3) - Prof. Bao Châu NGÔ (Chicago Univ.)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 Orbital integrals, Hitchin type module spaces and invariant theory (title to be confirmed) (2/3) - Prof. Bao Châu NGÔ (Chicago Univ.)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Cohomology Sheaves of Stacks of Shtukas (1/2) - Prof. Cong XUE (IMJ-PRG)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 Cohomology Sheaves of Stacks of Shtukas (2/2) - Prof. Cong XUE (IMJ-PRG)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Buffet-lunch ---
15:00 What does geometric Langlands mean to a number theorist? (1/2) - Prof. Sam RASKIN (Univ. Texas)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 What does geometric Langlands mean to a number theorist? (2/2) - Prof. Sam RASKIN (Univ. Texas)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Shimura Varieties and Modularity (1/3) - Prof. Sug Woo SHIN (UC Berkeley) Prof. Ana CARAIANI (Imperial College)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 An Introduction to the Categorical p-adic Langlands Program (2/4) - Prof. Eugen HELLMAN (Univ. Münster) Prof. Toby GEE (Imperial College) Prof. Matthew EMERTON (Chicago Univ.)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Supercuspidal Representations: Construction, Classification, and Characters (1/2) - Prof. Jessica FINTZEN (Duke Univ. & Cambridge Univ.)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 The Langlands Program and the Moduli of Bundles on the Curve (2/3) - Prof. Laurent FARGUES (IMJ-PRG) Prof. Peter SCHOLZE (Univ. Bonn)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Branching Laws: Homological Aspects - Prof. Dipendra PRASAD (IIT Bombay)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 On Moduli Spaces of Local Langlands Parameters (2/2) - Prof. Jean-François DAT (IMJ-PRG)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Shimura Varieties and Modularity (2/3) - Prof. Sug Woo SHIN (UC Berkeley) Prof. Ana CARAIANI (Imperial College)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 Geometric and Arithmetic Theta Correspondences (1/2) - Prof. Chao LI (Columbia Univ.)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Hamiltonian Actions and Langlands Duality (1/2) - Prof. Akshay VENKATESH (IAS)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 Hamiltonian Actions and Langlands Duality (2/2) - Prof. Akshay VENKATESH (IAS)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Derived Aspects of the Langlands Program (1/3) - Prof. Michael HARRIS (Columbia Univ.) Prof. Tony FENG (MIT)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 Local and Global Questions “Beyond Endoscopy” (1/2) - Prof. Yiannis SAKELLARIDIS (Johns Hopkins Univ.)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)
18:00 --- Buffet dinner ---
12:30 Q&A   (Marilyn and James Simons Conference Center)
13:00 --- Lunch break ---
15:00 Local and Global Questions “Beyond Endoscopy” (2/2) - Prof. Yiannis SAKELLARIDIS (Johns Hopkins Univ.)   (Marilyn and James Simons Conference Center)
16:00 --- Coffee break ---
16:20 Derived Aspects of the Langlands Program (3/3) - Prof. Tony FENG (MIT) Prof. Michael HARRIS (Columbia Univ.)   (Marilyn and James Simons Conference Center)
17:20 Q&A   (Marilyn and James Simons Conference Center)