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
09:00 — 09:20
Registration
09:20 — 09:30
Welcome
09:30 — 10:15
10:15 — 10:45
Coffee Break
10:45 — 11:30
11:30 — 11:45
Coffee Break
11:45 — 12:30
12:30 — 14:45
Lunch Break
15:30 — 16:00
Coffee Break
April 12, 2022
10:15 — 10:45
Coffee Break
10:45 — 11:30
12:30 — 14:45
Lunch Break
15:30 — 16:00
Coffee Break
April 13, 2022
09:30 — 10:15
10:15 — 10:45
Coffee Break
11:30 — 14:30
Lunch Break
14:30 — 15:15
15:15 — 15:30
Coffee Break
15:30 — 16:15
18:30 — 22:00
Conference Dinner
April 14, 2022
10:15 — 10:45
Coffee Break
11:30 — 11:45
Coffee Break
12:30 — 14:45
Lunch Break
14:45 — 15:30
15:30 — 16:00
Coffee Break
16:00 — 16:45
April 15, 2022
10:15 — 10:45
Coffee Break
11:30 — 11:45
Coffee Break

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
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
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 Minnesota
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 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
Preview of Dipendra Prasad - Homological methods in theta correspondence
Dipendra Prasad (IIT Bombay): Homological methods in theta correspondence
April 11, 2022 09:30 — 10:15
Preview of Anne-Marie Aubert - Theta correspondence and wave front set
Anne-Marie Aubert (CNRS, Paris): Theta correspondence and wave front set
April 11, 2022 10:45 — 11:30
Preview of Justin Trias - Towards a theta correspondence in families for type II dual pairs
Justin Trias (Imperial College, London): Towards a theta correspondence in families for type II dual pairs
April 11, 2022 11:45 — 12:30
Preview of Sonja Zunar - On topological aspects of smooth automorphic forms
Sonja Zunar (U Zagreb): On topological aspects of smooth automorphic forms
April 12, 2022 14:45 — 15:30
Preview of Melissa Emory - On Restrictions of Representations
Melissa Emory (U Toronto): On Restrictions of Representations
April 13, 2022 09:30 — 10:15
Preview of David Soudry - New types of Siegel-Weil formulas
David Soudry (Tel Aviv U): New types of Siegel-Weil formulas
April 13, 2022 14:30 — 15:15
Preview of Dihua Jiang - Wavefront Sets, Local Descents and Spectrum
Dihua Jiang (U of Minnesota): Wavefront Sets, Local Descents and Spectrum
April 13, 2022 15:30 — 16:15
Preview of Rahul Dalal - Counting Level-1, Quaternionic Automorphic Representations on $G_2$
Rahul Dalal (Johns Hopkins U, Baltimore): Counting Level-1, Quaternionic Automorphic Representations on $G_2$
April 14, 2022 14:45 — 15:30
Preview of Aaron Pollack - Modular forms of half-integral weight on G_2
Aaron Pollack (UC San Diego): Modular forms of half-integral weight on G_2
April 14, 2022 16:00 — 16:45
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 Vienna)
Goran Muic (U Zagreb)
Martin Weissman (UC Santa Cruz)