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SCIENTIFIC PROGRAMS AND ACTIVITIES |
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November 12, 2024 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
OverviewThe primary focus of this workshop is on recent advances in the representation theory of real and p-adic groups and their applications. In particular, one of the areas in which substantial progress has been achieved is the harmonic analysis on homogeneous varieties. Within the past five years, there have been major breakthroughs in analysis on spherical varieties in the following two directions: (i) The work of Krötz-Sayag-Schlichtkrull on the decay of matrix coefficients and homogeneous spaces that satisfy VAI (vanishing at infinity). Recent progress in this direction has led to uniform multiplicity bounds on the spectrum of real spherical varieties (Krötz-Schlichtkrull). It is moreover expected to have important applications outside representation theory, such as asymptotics of integer points on homogeneous varieties and lattice counting. (ii) The work and conjectures of Sakellaridis-Venkatesh on the connection between the spectrum of a spherical variety, automorphic period integrals, and Arthur parameters. This substantial work brings together ideas from the geometric Langlands program, the geometry of spherical varieties "at infinity", and scattering theory. Several low-rank special cases of these conjectures have recently been solved in the work of Gan-Gomez using the method of theta correspondence. The workshop will run for three full days and a morning session on the fourth day (Thursday morning - Sunday noon). It consists of two mini-courses (given by Bernhard Krötz and Yiannis Sakellaridis) on the aforementioned themes, interspersed with several talks by senior as well as junior researchers on related topics in representation theory. The topics include (but are not limited to) analysis on symmetric spaces, infinite dimensional groups, and the relation between p-adic representation theory and Hecke algebras.
Location: Conference dinner: Schedule:
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Thursday May 7, 2015 - Location: ART 033 | ||
Time | Speaker | Title |
9:00-9:30 |
Registration/Coffee
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9:30-10:30 | Bernhard Krötz (University of Paderborn) | Lecture 1: Volume growth on homogeneous spaces |
11:00-12:00 | Yiannis Sakellaridis (Rutgers University/NTU Athens) | Lecture 1: Geometry of toric and spherical varieties, and the theory of asymptotics |
14:00-15:00 | Paul Mezo (Carleton University) | Twisted endoscopy from the sheaf-theoretic perspective |
15:30-16:30 | Guido Pezzini (Friedrich-Alexander-Universität Erlangen-Nürnberg) | Spherical subgroups of Kac-Moody groups |
16:30-17:30 | Ioan Badulescu (University of Montpellier, France) | Base change for non tempered representations |
Friday May 8, 2015 - Location: FSS 1007 | ||
Time | Speaker | Title |
8:30-9:30 | Yiannis Sakellaridis (Rutgers University/NTU Athens) | Lecture 2: Plancherel decomposition and scattering theory |
9:30-10:30 | Bernhard Krötz (University of Paderborn) | Lecture 2: Real spherical spaces I: Geometry |
11:00-12:00 | Karl-Hermann Neeb (FAU Erlangen-Nürnberg) | Positive energy representations of gauge groups |
13:45-14:45 | Jessica Fintzen (Harvard University) | Stable vectors in the Moy-Prasad ltration |
15:00-16:00 | Christoph Zellner (FAU Erlangen-Nürnberg) | Specifying smooth vectors for semibounded representations by single elements and applications |
16:00-17:00 | Manish Patnaik (University of Alberta) | On the theory of automorphic forms on loop groups |
Saturday May 9, 2015 - Location: ART 033 | ||
Time | Speaker | Title |
8:30-9:30 | Bernhard Krötz (University of Paderborn) | Lecture 3: Real spherical spaces II: Harmonic Analysis |
9:30-10:30 | Gestur Olafsson (Louisiana State University) | Reflection positivity: representation theory meets quantum field theory |
11:00-12:00 | Julia Gordon (University of British Columbia) | Uniform in p estimates for orbital integrals |
14:00-15:00 | Matthew Dawson (Centro de Investigación en Matemáticas, A.C. (CIMAT)) | Invariant Means and Harmonic Analysis on Direct-Limit Groups |
15:30-16:30 | Max Gurevich (Technion) | Ladder representations and Galois distinction |
16:30-17:30 | Moshe Adrian (University of Toronto) | Langlands parameters for simple supercuspidal representations of classical groups |
Sunday May 10, 2015 - Location: ART 033 | ||
Time | Speaker | |
8:30-9:30 | Yiannis Sakellaridis (Rutgers University/NTU Athens) | Lecture 3: Local harmonic analysis and periods of automorphic forms |
9:30-10:30 | Camelia Karimianpour (University of Ottawa) | Representations of the n-fold Covering Group of the Special Linear Group and Their K-types |
11:00-12:00 | Julee Kim (Massachusetts Institute of Technology) | Asymptotic behavior of supercuspidal characters and Sato-Tate equidistribution for families |
12:00-13:00 | Eitan Sayag (Ben-Gurion University) | Decay and regularity on spherical spaces |
Full Name | University/Affiliation |
Adrian, Moshe | University of Toronto |
Ali, Abid | University of Alberta |
Alzaareer, Hamza | |
Aubert, Anne-Marie | UPMC |
Badulescu, Ioan | University of Montpellier, France |
Bardestani, Mohammad | University of Ottawa |
Behboodi, Gholamreza | University of Ottawa |
Binder, John | MIT |
Chakhar, Abdelkarim | Université Laval |
Chan, Kei Yuen | University of Amsterdam |
Christie, Aaron | University of Ottawa |
Coolimuttam Gopalakrishnan, Venketasubramanian | Ben Gurion university of the Negev |
Cunningham, Clifton | University of Calgary |
Das, Haridas | Concordia University |
Dawson, Matthew | Centro de Investigación en Matemáticas, A.C. (CIMAT) |
Filip, Ioan | Columbia University |
Fintzen, Jessica | Harvard University |
Gordon, Julia | University of British Columbia |
Gupta, Vishal | Max Planck Institute |
Gurevich, Max | Technion |
Hakim, Jeffrey | American University |
He, Xiao | Université Laval |
Islam, Rabib | University of Ottawa |
Kangni, Kinvi | Université Felix Houphouet Boigny |
Karimianpour, Camelia | University of Ottawa |
Kim, Julee | Massachusetts Institute of Technology |
Krotz, Bernhard | University of Paderborn |
Majeed, Asia | University of Manitoba |
Mezo, Paul | Carleton University |
Mitra, Arnab | Ben Gurion University of the Negev |
Moussaoui, Ahmed | IMJ-PRG |
Moustafa, Kopuider Elouahed | Oran University |
Murnaghan, Fiona | University of Toronto |
Neeb, Karl-Hermann | FAU Erlangen-Nürnberg |
Neher, Erhard | University of Ottawa |
Nevins, Monica | University of Ottawa |
Nguyen, Athena | University of British Columbia |
Noorzad, Abdul Sami | Karwan University |
Olafsson, Gestur | Louisiana State University |
Patnaik, Manish | University of Alberta |
Pezzini, Guido | Friedrich-Alexander-Universität Erlangen-Nürnberg |
Pike, Jeffrey | University of Ottawa |
Polak, Jason | McGill University |
Pushkas, Anna | University of Alberta |
Quiroga-Brranco, Raul | Cimat |
Ransingh, Biswajit | Institute of Mathematical Sciences, Chennai |
Romano, Beth | Boston College |
Rumynin, Dmitriy | University of Warwick |
Saenz, Javier | CIMAT |
Sakellaridis, Yiannis | Rutgers University, Newark |
Salcedo, Emilio | CIMAT |
Salmasian, Hadi | University of Ottawa |
Savage, Alistair | University of Ottawa |
Sayag, Eitan | Ben-Gurion University |
Sedano, Manuel | Centro de Investigación en Matemáticas |
Shen, Xin | University of Toronto |
Smith, Jerrod | University of Toronto |
Subag, Eyal | Tel-Aviv University |
Tam, Kamfai | McMaster University |
Tian, Fangyang | University of Minnesota |
Tsai, Cheng-Chiang | Harvard University |
Valdes, Juan Fernando | Centro de Investigación de Matemáticas |
Verma, Mahendra | IIT Bombay |
Wang, Junqi | Rutgers University |
Wong, Tian An | CUNY Graduate Center |
Zainoulline, Kirill | University of Ottawa |
Zellner, Christoph | FAU Erlangen-Nürnberg |
Zhou, Qiao | University of California, Berkeley |
Zurstraßen, Janina | Johannes Gutenberg-Universität |