SCIENTIFIC PROGRAMS AND ACTIVITIES

THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES

May 7-10, 2015 Workshop on Representation Theory and Analysis on Lie Groups over Local Fields to be held at the Department of Mathematics and Statistics, University of Ottawa, Ottawa, Canada Organizers: Monica Nevins and Hadi Salmasian (University of Ottawa)

Overview

The 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.

Mini-course lecturers Bernhard Krötz (Paderborn) Yiannis Sakellaridis (Rutgers/NTU Athens)

Confirmed Speakers Ioan Badulescu (Montpellier) Julia Gordon (UBC) Ju-Lee Kim (MIT) Paul Mezo (Carleton) Karl-Hermann Neeb (Erlangen) Gestur Olafsson (Louisiana State) Manish Patnaik (Alberta) Eitan Sayag (BGU)

Location:
Please note that the workshop talks hold in two different rooms on campus, which are not in the mathematics department. The workshop room for May 7, 9, and 10 is ART 033 and for May 8 is FSS 1007. Both buildings are within a few minutes' walk from the University Residences (the building code for the residence is STN).

Conference dinner:
Reservations have been made for 35 people at Johnny Farina Restaurant (216 Elgin Street, between Lisgar & Cooper) on Friday May 8 at 6:00p.m. An approximate headcount will be conducted on Thursday afternoon to finalize the reservation.

74th Algebra Day:
The following conference takes place at the University of Ottawa just before our workshop: www.fields.utoronto.ca/programs/scientific/14-15/algebras-to-schemes/

Schedule:

Thursday May 7, 2015 - Location: ART 033
Time	Speaker	Title
9:00-9:30	Registration/Coffee
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

***

Participants List:

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

 

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