Minimal Representations and Theta Correspondence
Minimal representations of real or p-adic Lie groups are analogs of the classical Weil representations of metaplectic groups. The theta correspondence studies the branching laws when minimal representations are restricted to a pair of mutually commuting subgroups. This transcendental version of classical invariant theory has seen significant progress in the past few years with several foundational problems resolved and has found applications in the theory of automorphic forms, arithmetic geometry and mathematical physics. In this workshop we will explore new avenues of research in view of these recent progresses.
Gordan Savin has done pioneering work in the theory of minimal representations and the theta correspondence, both in the classical and exceptional settings. This workshop is in honor of his 60th birthday.
The workshops will be held in hybrid mode with the platform zoom. zoom coordinates will be provided to the participants by email shortly before the beginning of the event.
April 11, 2022
April 12, 2022
April 13, 2022
April 14, 2022
April 15, 2022
09:00 — 09:20
Registration
09:20 — 09:30
Welcome
09:30 — 10:15
Dipendra Prasad (IIT Bombay)
Homological methods in theta correspondence
Homological methods in theta correspondence
10:15 — 10:45
Coffee Break
10:45 — 11:30
Anne-Marie Aubert (CNRS, Paris)
Theta correspondence and wave front set
Theta correspondence and wave front set
11:30 — 11:45
Coffee Break
11:45 — 12:30
Justin Trias (Imperial College London)
Towards a theta correspondence in families for type II dual pairs
Towards a theta correspondence in families for type II dual pairs
12:30 — 14:45
Lunch Break
14:45 — 15:30
Jeffrey Adams (U of Maryland)
Equivalent definitions of Arthur packets for real classical groups
Equivalent definitions of Arthur packets for real classical groups
15:30 — 16:00
Coffee Break
16:00 — 16:45
09:30 — 10:15
Toshi Kobayashi (U Tokyo)
Schrödinger model of minimal representations and branching problems
Schrödinger model of minimal representations and branching problems
10:15 — 10:45
Coffee Break
10:45 — 11:30
Jing-Song Huang (HKUST, Hong Kong)
Model orbits and unipotent representations
Model orbits and unipotent representations
11:45 — 12:30
12:30 — 14:45
Lunch Break
14:45 — 15:30
Sonja Zunar (U Zagreb)
On topological aspects of smooth automorphic forms
On topological aspects of smooth automorphic forms
15:30 — 16:00
Coffee Break
16:00 — 16:45
09:30 — 10:15
Melissa Emory (U Toronto)
On Restrictions of Representations
On Restrictions of Representations
10:15 — 10:45
Coffee Break
10:45 — 11:30
Emile Okada (U Oxford)
On the construction of some unipotent local Arthur packets
On the construction of some unipotent local Arthur packets
11:30 — 14:30
Lunch Break
14:30 — 15:15
David Soudry (Tel Aviv U)
New types of Siegel-Weil formulas
New types of Siegel-Weil formulas
15:15 — 15:30
Coffee Break
15:30 — 16:15
Dihua Jiang (U of Minnesota)
Wavefront Sets, Local Descents and Spectrum
Wavefront Sets, Local Descents and Spectrum
18:30 — 22:00
Conference Dinner
09:30 — 10:15
Kei Yuen Chan (Fudan U, Shanghai)
Quotient branching law for p-adic general linear groups and affine Hecke algebra of type A
Quotient branching law for p-adic general linear groups and affine Hecke algebra of type A
10:15 — 10:45
Coffee Break
10:45 — 11:30
Jiajun Ma (Xiamen U)
Generic Hecke algebra and theta correspondence over finite fields
Generic Hecke algebra and theta correspondence over finite fields
11:30 — 11:45
Coffee Break
11:45 — 12:30
Hung Yean Loke (U of Singapore)
A Cauchy - Harish-Chandra integral for a dual pair over a p-adic field
A Cauchy - Harish-Chandra integral for a dual pair over a p-adic field
12:30 — 14:45
Lunch Break
14:45 — 15:30
Rahul Dalal (Johns Hopkins U, Baltimore)
Counting Level-1, Quaternionic Automorphic Representations on $G_2$
Counting Level-1, Quaternionic Automorphic Representations on $G_2$
15:30 — 16:00
Coffee Break
16:00 — 16:45
Aaron Pollack (UC San Diego)
Modular forms of half-integral weight on G_2
Modular forms of half-integral weight on G_2
09:30 — 10:15
Nadya Gurevich (Ben-Gurion U, Beer-Sheva)
Gelfand-Graev representation for covering groups and applications.
Gelfand-Graev representation for covering groups and applications.
10:15 — 10:45
Coffee Break
10:45 — 11:30
Marko Tadic (U Zagreb)
An approach to the unitarizability problem in the case of classical p-adic groups
An approach to the unitarizability problem in the case of classical p-adic groups
11:30 — 11:45
Coffee Break
11:45 — 12:30
Pavle Pandzic (U Zagreb)
Dirac index and associated cycles of Harish-Chandra modules
Dirac index and associated cycles of Harish-Chandra modules
Organizers
| Name | Affiliation |
|---|---|
| Wee Teck Gan | University of Singapore |
| Marcela Hanzer | University of Zagreb |
| Alberto Minguez | University of Vienna |
| Goran Muic | University of Zagreb |
| Martin Weissman | University of California, Santa Cruz |
Attendees
| Name | Affiliation |
|---|---|
| Jeffrey Adams | University of Maryland |
| Hiraku Atobe | Hokkaido University |
| Anne-Marie Aubert | CNRS Paris |
| Adel Betina | University of Vienna |
| Barbara Bošnjak | University of Zagreb |
| Adam Brown | Institute of Science and Technology Austria |
| Valentin Buciumas | University of Amsterdam |
| Giancarlo Castellano | University of Vienna |
| Kei Yuen Chan | Fudan University |
| Cheng Chen | University of Minnesota |
| Rui Chen | Zhejiang University |
| Gaëtan Chenevier | CNRS Paris |
| Dan Ciubotaru | University of Oxford |
| Peiyi Cui | University of Vienna |
| Rahul Dalal | Johns Hopkins University |
| Johannes Droschl | University of Vienna |
| Melissa Emory | University of Toronto |
| Jan Frahm | University of Aarhus |
| Masaaki Furusawa | Osaka State Univeristy |
| Fan Gao | Zhejiang University |
| Johannes Girsch | Imperial College London |
| Harald Grobner | University of Vienna |
| Nadya Gurevich | Ben-Gurion University of the Negev |
| Guy Henniart | Université Paris Sud |
| Guanjie Huang | University of Michigan |
| Jing-Song Huang | Hong Kong University of Science and Technology |
| Atsushi Ichino | Kyoto University |
| Dihua Jiang | University of Minnesota |
| Eyal Kaplan | Bar Ilan University |
| Ed Karasiewicz | University of Utah |
| Axel Kleinschmidt | Max Planck Institute for Gravitational Physics |
| Toshi Kobayashi | University of Tokyo |
| Ruben La | University of Oxford |
| Thomas Lanard | University of Vienna |
| Nhat Hoang Le | National University of Singapore |
| Yusheng Lei | Tel Aviv University |
| Zhaolin Li | University of Minnesota |
| Baiying Liu | Purdue University |
| Hung Yean Loke | University of Singapore |
| Hengfei Lu | University of Vienna |
| Yongzhi Luan | Shandong University |
| Yi Luo | University of Singapore |
| Jiajun Ma | Xiamen University |
| Joachim Mahnkopf | University of Vienna |
| Lucas Mason Brown | University of Oxford |
| Finn McGlade | University of California, San Diego |
| Xinchen Miao | University of Bonn |
| Kazuki Morimoto | Kobe University |
| Gil Moss | University of Utah |
| Sam Mundy | Princeton University |
| Emile Okada | University of Oxford |
| Shu-Yen Pan | National Tsing Hua University |
| Pavle Pandzic | University of Zagreb |
| Aaron Pollack | University of California, San Diego |
| Dipendra Prasad | Indian Institute of Technology Bombay |
| Anna Puskas | University of Queensland |
| Markus Reibnegger | University of Vienna |
| Gordan Savin | University of Utah |
| Haluk Sengun | University of Sheffield |
| Sheng-Chi Shih | University of Vienna |
| David Soudry | Tel Aviv University |
| Alexander Stadler | University of Vienna |
| Miyu Suzuki | Kanazawa University |
| Dani Szpruch | Open University of Israel |
| Marko Tadic | University of Zagreb |
| Shuichiro Takeda | University of Missouri |
| Justin Trias | Imperial College London |
| Wan-Yu Tsai | Chung Yuan Christian University |
| Chenyan Wu | University of Melbourne |
| Guodong Xi | University of Minnesota |
| Hongjie Yu | Institute of Science and Technology Austria |
| Lei Zhang | National University of Singapore |
| Ruishen Zhao | Sorbonne University |
| Chengbo Zhu | National University of Singapore |
| Sonja Zunar | University of Zagreb |
Dipendra Prasad (IIT Bombay): Homological methods in theta correspondence
April 11, 2022 09:30 — 10:15
April 11, 2022 09:30 — 10:15
Anne-Marie Aubert (CNRS, Paris): Theta correspondence and wave front set
April 11, 2022 10:45 — 11:30
April 11, 2022 10:45 — 11:30
Justin Trias (Imperial College London): Towards a theta correspondence in families for type II dual pairs
April 11, 2022 11:45 — 12:30
April 11, 2022 11:45 — 12:30
Jeffrey Adams (U of Maryland): Equivalent definitions of Arthur packets for real classical groups
April 11, 2022 14:45 — 15:30
April 11, 2022 14:45 — 15:30
Baiying Liu (Purdue U): Recent progress on certain problems related to local Arthur packets of classical groups
April 11, 2022 16:00 — 16:45
April 11, 2022 16:00 — 16:45
Toshi Kobayashi (U Tokyo): Schrödinger model of minimal representations and branching problems
April 12, 2022 09:30 — 10:15
April 12, 2022 09:30 — 10:15
Sonja Zunar (U Zagreb): On topological aspects of smooth automorphic forms
April 12, 2022 14:45 — 15:30
April 12, 2022 14:45 — 15:30
Jan Frahm (U Aarhus): Conformally invariant differential operators on Heisenberg groups and minimal representations
April 12, 2022 16:00 — 16:45
April 12, 2022 16:00 — 16:45
Emile Okada (U Oxford): On the construction of some unipotent local Arthur packets
April 13, 2022 10:45 — 11:30
April 13, 2022 10:45 — 11:30
Dihua Jiang (U of Minnesota): Wavefront Sets, Local Descents and Spectrum
April 13, 2022 15:30 — 16:15
April 13, 2022 15:30 — 16:15
Kei Yuen Chan (Fudan U, Shanghai): Quotient branching law for p-adic general linear groups and affine Hecke algebra of type A
April 14, 2022 09:30 — 10:15
April 14, 2022 09:30 — 10:15
Jiajun Ma (Xiamen U): Generic Hecke algebra and theta correspondence over finite fields
April 14, 2022 10:45 — 11:30
April 14, 2022 10:45 — 11:30
Hung Yean Loke (U of Singapore): A Cauchy - Harish-Chandra integral for a dual pair over a p-adic field
April 14, 2022 11:45 — 12:30
April 14, 2022 11:45 — 12:30
Rahul Dalal (Johns Hopkins U, Baltimore): Counting Level-1, Quaternionic Automorphic Representations on $G_2$
April 14, 2022 14:45 — 15:30
April 14, 2022 14:45 — 15:30
Aaron Pollack (UC San Diego): Modular forms of half-integral weight on G_2
April 14, 2022 16:00 — 16:45
April 14, 2022 16:00 — 16:45
Nadya Gurevich (Ben-Gurion U, Beer-Sheva): Gelfand-Graev representation for covering groups and applications.
April 15, 2022 09:30 — 10:15
April 15, 2022 09:30 — 10:15
Marko Tadic (U Zagreb): An approach to the unitarizability problem in the case of classical p-adic groups
April 15, 2022 10:45 — 11:30
April 15, 2022 10:45 — 11:30
Pavle Pandzic (U Zagreb): Dirac index and associated cycles of Harish-Chandra modules
April 15, 2022 11:45 — 12:30
April 15, 2022 11:45 — 12:30
At a glance
- Type:
- Workshop
- When:
- April 11, 2022 — April 15, 2022
- Where:
- ESI Boltzmann Lecture Hall
- Organizer(s):
-
Wee Teck Gan (U of Singapore)
Marcela Hanzer (U Zagreb)
Alberto Minguez (U of Vienna)
Goran Muic (U Zagreb)
Martin Weissman (UC Santa Cruz)