Conference on Methods of Modern Mathematical Physics

A Young Researcher Symposium on the Occasion of the 70th Birthday of Barry Simon

August 22 - 26, 2016, The Fields Institute

Location: Fields Institute, Room 230

Description

Barry Simon is one of the founding fathers of modern mathematical physics. His interests span a vast number of topics and his influence, through research papers, books and mentoring skills, is felt in many areas of mathematics. Among the fields where Barry has been a central figure over the years are those of quantum field theory, statistical mechanics, Schroedinger operators and the theory of orthogonal polynomials.

As part of Barry's 70th birthday celebration, and in honoring his remarkable dedication to the advancement of young mathematical physicists, a Young Researchers Symposium covering several areas of mathematical physics will take place at the Fields Institute on August, 22—26, 2016.

The symposium will have the following format: Five distinct topics will be covered in five days. The opening talks will be given by scientific leaders who will also act as moderators. The opening lectures will be followed by talks of junior researchers and round table discussion of open problems. The topic and moderators (Monday to Friday schedule) are:

Robert Seiringer, IST Austria. Bose-Einstein condensation
Rupert Frank, Caltech. Many-body quantum mechanics
Laszlo Erdoes, IST Austria. Random matrices and random Schrodinger operators
Jacob Christiansen, Lund. Orthogonal polynomials
Svetlana Jitomirskaya, Irvine. Spectral theory of quasi-periodic operators

It is expected that participants will attend the whole symposium, as well as the continuation of the event, the conference at CRM in Montreal: English website / French website

Please click here to enlarge this photo.

Registration Instruction:

There is an online registration link in the top right-hand corner of this webpage.

Schedule

Monday, August 22nd, 2016
09:00 to 10:00	Mathematical Methods in Many-Body Quantum Mechanics I Mathieu Lewin, Centre national de la recherche scientifique (CNRS) and Université Paris Dauphine
10:00 to 10:30	Localized Regime for Mean-Field Bosons in a Double-Well Potential Nicolas Rougerie, Université Grenoble-Alpes
10:30 to 11:00	Quantum de Finetti theorem and the Condensation in the Gross-Pitaevskii Limit Phan Thanh Nam, IST Austria
11:30 to 12:00	Bogoliubov Theory at Positive Temperature Marcin Napiórkowski, Institute of Science and Technology Austria
12:00 to 12:30	Recent Studies of Anyons Douglas Lundholm, KTH Royal Institute of Technology
14:00 to 14:30	Dynamics and Geometry of the Crossing of a Quantum Phase Transition Sven Bachman, LMU Munich
14:30 to 15:00	The Time-Dependent Gross-Pitaevskii Equation and its Derivation Niels Benedikter, Copenhagen
15:00 to 15:30	The Giant Vortex Transition in Rotating Bose-Einstein Condensates Michele Correggi, Roma Tre University
16:00 to 17:00	Bose-Einstein Condensation - What we know and what we would like to know Jakob Yngvason, University of Vienna
17:00	Reception

Tuesday, August 23rd, 2016
09:00 to 10:00	Mathematical Methods in Many-Body Quantum Mechanics II Mathieu Lewin, Centre national de la recherche scientifique (CNRS) and Université Paris Dauphine
10:00 to 10:30	A RAGE Theorem for Many-Body System Jonas Lampart, PSL Research University
10:30 to 11:00	Condensation of Fermion Pairs in a Domain Marius Lemm, California Institute of Technology
11:30 to 12:00	Strichartz and Stein-Tomas Inequalities for Systems of Orthonormal Functions Julien Sabin, Université Paris-Sud
12:00 to 12:30	Universality of Charge Transport in Interacting Fermionic Systems Marcello Porta, Universität Zürich
14:00 to 14:30	Asymptotics of the Eigenvalues of Operators for Mirror Curves Lukas Schimmer, California Institute of Technology
14:30 to 15:00	Asymptotics of Fredholm Determinants Related to Ground States of Non-Interacting Fermi Systems Martin Gebert, KC London
15:00 to 15:30	Two-term Bounds for the Riesz Eigenvalue Means of the Dirichlet Laplacian Simon Larson, KTH Royal Institute of Technology
16:00 to 17:00	Questions About Dynamics in Mathematical Physics Benjamin Schlein, Universität Zurich

Wednesday, August 24th, 2016
09:00 to 09:30	Short Introduction to Random Matrices Laszlo Erdos, IST Austria
09:30 to 10:10	Local Eigenvalue Statistics for Random Matrices with General Short Range Correlations Torben Kruger, IST Austria
10:10 to 10:50	Local Statistics of Dyson Brownian Motion Benjamin Landon, Harvard
11:10 to 11:50	Local Law of Addition of Random Matrices on Optimal Scale Kevin Schnelli, IST Austria
11:50 to 12:30	History Dependent Stochastic Processes and Nonlinear Sigma Models Margherita Disertori, Hausdorff Centre for Mathematics Bonn and University of Bonn
14:00 to 14:40	Transfer Matrix Approach to the Analysis of 1D Random Band Matrices Tetiana Shcherbyna, Princeton University
14:40 to 15:20	Mobility Edge for Heavy-Tailed Random Matrices Charles Bordenave, Toulouse
15:40 to 16:20	Resummation of Divergent Expansions for Random Matrices and Random Operators Sasha Sodin, Tel-Aviv
16:20 to 17:00	Rigidity of One-Component Plasma in 2D Paul Bourgade, Courant
17:00	Reception to Acknowledge Younge Researchers (at the Prenup Pub, 191 College St, Toronto)

Thursday, August 25th, 2016
09:00 to 09:30	A short Introduction to Orthogonal Polynomials Jacob Stordal Christiansen, Lund University
09:35 to 10:05	Perturbation Theory for Jacobi Matrices and Mesoscopic Fluctuations for Random Matrix Ensembles Jonathan Breuer, The Hebrew University of Jerusalem
10:30 to 11:00	Rank-one Additive and Multiplicative non-Hermitian Perturbations of Hermitian Matrices Rostyslav Kozhan, Uppsala University
11:05 to 11:35	Propagation of Critical Behavior for Unitary Invariant plus GUE Random Matrices Karl Liechty, DePaul University
11:40 to 12:10	Pseudo Big q-Jacobi Polynomials Wolter Groenevelt, Technische Universiteit Delft
13:45 to 14:15	Zeros of Optimal Polynomial Approximants Brian Simanek, Baylor University
14:20 to 14:50	Asymptotics of Orthogonal and Chebyshev Polynomials on Cantor Sets Maxim Zinchenko, University of New Mexico
15:15 to 15:45	Higher order Szegő Theorems Milivoje Lukic, Rice University
15:50 to 16:20	Orthogonal Polynomials on the Circle for the Weight satisfying the conditions: w, 1/w in BMO(T) Serguei Denissov, University of Wisconsin-Madison
16:30 to 17:00	Open Problem session / Round Table discussion

Friday, August 26th, 2016
09:00 to 09:15	Introduction to the quasi-periodic session Svetlana Jitomirskaya, UC Irvine
09:15 to 09:45	Spectral Properties of Two-Dimensional Quasi-Periodic Schrodinger Operators Roman Shterenberg, University of Alabama at Birmingham
09:45 to 10:15	On Localization and the Spectrum of Multifrequency Quasi-Periodic Schrodinger Operators Mircea Voda, University of Chicago
10:15 to 10:45	Almost reducibility and applications to the spectrum of the almost Mathieu operator Qi Zhou, Nanjing
11:00 to 11:30	Full Measure Reducibility and Localization for Quasi- Periodic Jacobi Operators: a Topological Criterion Rui Han, University of California, Irvine
11:30 to 12:00	Critical Almost Mathieu Operator With Spectrum of Zero Hausdorff Dimension Mira Shamis, Weizmann
12:00 to 12:30	Universal Hierarchical Structure of the Almost Mathieu Eigenfunctions Wencai Liu, UC Irvine
13:45 to 14:15	uniform Large Deviation Estimate for Some Quasi -Periodic Schrodinger Operators Without Analyticity Zhenghe Zhang, Rice University
14:15 to 14:45	Quasi-Periodic Operators with Monotone Potentials Ilya Kachkovskiy, Michigan State University
15:00 to 16:00	Open Problems Session Svetlana Jitomirskaya, UC Irvine
16:00 to 16:30	KdV Equation with Almost Periodic Initial Data Milivoje Lukic, Rice University

Receptions

There will be a reception on Monday, August 22nd, at 5 pm in the Fields Atrium.

There will be a second reception to acknowledge young researchers on Wednesday, August 24th, at 5 pm at the Prenup Pub (191 College St, Toronto).

Abstracts

To view abstracts and the daily schedule, please click here (updated July 28, 2016).

Presentation Files

To view the most of the PowerPoints presented at the conference at Fields, please click here.

Financial Aid

Financial aid may be available to junior participants. To be considered for financial support, please contact jaksic<at>math.mcgill.ca.

Registered Participants

Name	Affiliation
ANVARJON AHMEDOV	Universiti Malaysia Pahang
Johannes Alt	IST Austria
Sven Bachmann	LMU Munich
Giulia Basti	University of Rome "La Sapienza"
Paul Bourgade	New York University
Christian Brennecke	Universität Zürich
Jonathan Breuer	The Hebrew University of Jerusalem
Valmir Bucaj	Rice University
Matthew Cha	University of California Davis
Li Chen	University of Toronto
Dmitri Chouchkov	University of Toronto
Jacob Stordal Christiansen	Lund University
Michele Correggi	Roma Tre University
Jonas Dahlbaek	Aarhus University
Dan Dai	City University of Hong Kong
Thomas Norman Dam	Aarhus University
Tivadar Danka	University of Szeged
Serguei Denissov	University of Wisconsin–Madison
Daniele Dimonte	SISSA (International School for Advanced Studies)
Margherita Disertori	Hausdorff Centre for Mathematics Bonn and University of Bonn
raphael ducatez	Université Paris-Dauphine
Benjamin Eichinger	Johannes Kepler University
Laszlo Erdos	IST Austria
Farzad Fathizadeh	California Institute of Technology
Samuel Ferguson	Courant Institute
Jake Fillman	Virginia Tech
Søren Fournais	Aarhus University
Martin Fraas
Rupert Frank	California Institute of Technology
Giancarlo Garnero	Università degli Studi di Bari "A. Moro"
Martin Gebert	King's College London
vitalii Gerbuz	Rice University
Emanuela Laura Giacomelli	La Sapienza, University of Rome
Vasile Gradinaru	ETH Zürich
Wolter Groenevelt	Technische Universiteit Delft
Rui Han	University of California, Irvine
Eric Hanson	McGill University
Vojkan Jaskic	McGill University
Ian Jauslin	Universität Zurich
Svetlana Jitomirskaya	UC Irvine
Ilya Kachkovskiy	Institute for Advanced Study
Minh Kha	Texas A&M University
Rostyslav Kozhan	Uppsala University
Katarzyna Kozlowska	University of Reading
Justin Kulp	Lakehead University
Jonas Lampart	PSL Research University
Ben Landon	Harvard University
Markus Lange	Friedrich-Schiller-University Jena
Simon Larson	KTH Royal Institute of Technology
Marius Lemm	California Institute of Technology
Mathieu Lewin	Centre national de la recherche scientifique (CNRS) and Université Paris Dauphine
Karl Liechty	DePaul University
Wencai Liu	UC Irvine
Milivoje Lukic	Rice University
Douglas Lundholm	KTH Royal Institute of Technology
Peter Madsen	Aarhus University
Andrei Martinez-Finkelshtein	University of Almeria
Oliver Matte	Aarhus University
Rajinder Mavi	Michigan State University
Simon Mayer	Institute for Science and Technology, Austria
Konstantin Merz	Mathematics Institute, University of Munich
Jacob Schach Møller	Aarhus University
Alvin Moon	University of California, Davis
Thomas Moser	IST Austria
Marcin Napiórkowski	Institute of Science and Technology Austria
Makoto Narita	National Institute of Technology, Okinawa College
Yuriy Nemish	IST Austria
Alessandro Olgiati	SISSA Trieste
Jane Panangaden	McGill University
Soeren Petrat	IST Austria
Bernhard Pfirsch	University College London
Thanh Nam Phan	IST Austria
Lorenzo Pinna	University of Rome "La Sapienza"
Marcello Porta	Universität Zürich
Simone Rademacher	Universität Zürich
Krishan Rajaratnam	University of Toronto
Evan Ranken	University of Rochester
Renaud Raquépas	McGill University
David Renfrew	SUNY Binghamton
Robin Reuvers	University of Copenhagen
Simona Rota Nodari	Université de Bourgogne
Nicolas Rougerie	Université Grenoble-Alpes
John Rush	University of Wisconsin–Madison
Julien Sabin	Université Paris-Sud
Christian Sadel	Pontificia Universidad Católica Santiago de Chile
Justin Scarfy	University of British Columbia
Lukas Schimmer	California Institute of Technology
Benjamin Schlein	Universität Zurich
Kevin Schnelli	IST Austria
Dominik Schroder	IST Austria
Christian Seifert	University of Munich
Robert Seiringer	IST Austria
Alessandro Selvitella	McMaster University
Andrea Serio	Stockholm University
Mira Shamis	Weizmann Institute of Science
Jacob Shapiro	ITP ETHZ
Tetiana Shcherbyna	Princeton University
Laura Shou	California Institute of Technology
Roman Shterenberg	University of Alabama at Birmingham
Brian Simanek	Baylor University
Barry Simon	California Institute of Technology
Sasha Sodin	Tel Aviv University
Oscar Sprumont	McGill University
Selim Sukhtaiev	University of Missouri, Columbia
Grzegorz Swiderski	University of Wroclaw
Arnaud Triay	Université Paris-Dauphine
Timmy Tzaneteas	University of Tuebingen
Mircea Voda	University of Chicago
Chris Waddell	McGill University
Yitzhak Weit	University of Haifa
Konstantin Wernli	Universität Zürich
Mahishanka Withanachchi	Texas A & M University
Andreas Wünsch	IADM
Disheng Xu	Institut de mathimatique de Jussieu, Paris-Rives-Gauche
Fan Yang	University of California, Irvine
Jakob Yngvason	University of Vienna
Zhenghe Zhang	Rice University
Qi Zhou	Nanjing University
Maxim Zinchenko	University of New Mexico