Workshop: Probabilistic Methods in Spectral Geometry and PDE

August 22-26, 2016

Program

 

Monday, August 22, 2016

09:10 - 09:40
Registration and Coffee & Croissants
Room(s) Hall d’honneur


Meeting room(s) : M-415

09:40 - 10:00
Opening Remarks
10:00 - 10:45
Boris Hanin
(MIT)
Scaling of harmonic oscillator eigenfunctions and their nodal sets around the caustic
Abstract

Diapos / Slides
10:45 - 11:15
Coffee break
11:15 - 12:00
Igor Wigman
(King’s College London)
Nodal intersections of random toral eigenfunctions with a test curve
Abstract

Diapos / Slides
12:00 - 14:00
Lunch break
14:00 - 14:45
Alexander Taylor
(University of Bristol)
Vortex knotting in random quantum eigenfunctions
Abstract

Diapos / Slides
14:55 - 15:40
Damien Gayet
(Université de Grenoble I)
Percolation of random nodal lines
Abstract

15:40 - 16:00
Coffee break

Session - Chaire Aisenstadt Chair
Meeting room(s) : M-415

16:00 - 17:00
Nalini Anantharaman
(Université de Strasbourgh)
Quantum ergodicity on Riemannian manifolds
Abstract

Diapos / Slides

17:15
Reception
Room(s) Salon Maurice-l’Abbé (Pavillon A.-Aisenstadt)

 

Tuesday, August 23, 2016

08:45 - 09:15
Coffee & Croissants


Meeting room(s) : M-415

09:15 - 10:00
Hamid Hezari
(University of Califormia, Irvine)
Applications of small scale quantum ergodicity
Abstract

Diapos / Slides
10:00 - 10:20
Coffee break
10:20 - 11:05
Valentina Cammarota
(King's College London)
On the critical points of random spherical harmonics
Abstract

Diapos / Slides
11:15 - 12:00
Maurizia Rossi
(Université du Luxembourg)
Nodal sets of high-energy arithmetic random waves
Abstract

Diapos / Slides
12:00 - 14:00
Lunch break
14:00 - 14:45
Gabriel Rivière
(Université de Lille 1)
Delocalization of solutions of the Schrödinger equation on Zoll manifolds
Abstract
14:55 - 15:40
Jeffrey Galkowski
(McGill University)
Arbitrarily small perturbations of Dirichlet Laplacians are QUE
Abstract

15:40 - 16:00
Coffee break

Session - Chaire Aisenstadt Chair
Meeting room(s) : M-415

16:00 - 17:00
Nalini Anantharaman
(Université de Strasbourgh)
Quantum ergodicity on large graphs I: Regular graphs
Abstract

Diapos / Slides

 

Wednesday, August 24, 2016

08:45 - 09:15
Coffee & Croissants


Meeting room(s) : M-415

09:15 - 10:00
Alexander Komech
(Vienna University)
On foundation of the equilibrium statistical physics. Long-time convergence to equilibrium measures for Hamiltonian PDEs
Abstract

Diapos / Slides
10:00 - 10:20
Coffee break
10:20 - 11:05
Ilya Goldsheid
(Queen Mary, University of London)
Products of non-identically distributed random matrices and Schrödinger operators
Abstract
11:15 - 12:00
Frédéric Klopp
(Université Pierre et Marie Curie)
Interacting electrons in a random background
Abstract
12:00 - 14:00
Lunch break
14:00 - 14:45
Zeév Rudnick
(Tel Aviv University)
Small gaps in the spectrum of the rectangular billiard and the Fibonacci sequence
Abstract

Diapos / Slides
14:55 - 15:40
Stéphane Nonnenmacher
(Université Paris-Sud)
Random perturbations of non-self-adjoint operators and the Gaussian analytic function
Abstract

Diapos / Slides

15:40 - 16:00
Coffee break

Session - Chaire Aisenstadt Chair
Meeting room(s) : M-415

16:00 - 17:00
Nalini Anantharaman
(Université de Strasbourgh)
Quantum ergodicity on graphs II : Perspectives on other models
Abstract

Diapos / Slides

 

Thursday, August 25, 2016

08:45 - 09:15
Coffee & Croissants


Meeting room(s) : M-415

09:15 - 10:00
Rémi Rhodes
(LAMA-Université Paris-Est Marne La Vallée)
Liouville quantum field theory on Riemann surfaces: Construction and semi-classical limit
Abstract

Diapos / Slides
10:00 - 10:20
Coffee break
10:20 - 11:05
Vincent Vargas
(Université PARIS - DAUPHINE)
Ward and Belavin-Polyakov-Zamolodchikov identities for Liouville quantum field theory on the Riemann sphere
Abstract

Diapos / Slides
11:15 - 16:55
Semyon Klevtsov
(Universität zu Köln )
Geometry and large N limits in Laughlin states
Abstract
12:00 - 14:00
Lunch break
14:00 - 14:45
Eric Schippers
(University of Manitoba)
Quasiconformal Teichmuller theory as an analytic foundation for conformal field theory
Abstract

Diapos / Slides
14:55 - 15:40
Hsiang (Robert) Chang
(Northwestern University)
Quantum ergodicity of Wigner induced random spherical harmonics
Abstract

Diapos / Slides
15:40 - 16:10
Coffee break
16:10 - 12:00
Elena Kopylova
(Vienna University)
On asymptotic stability of moving kinks for relativistic Ginzburg-Landau equation
Abstract

 

Friday, August 26, 2016

08:45 - 09:15
Coffee & Croissants


Meeting room(s) : M-415

09:15 - 10:00
Étienne Le Masson
(University of Bristol)
Quantum ergodicity and Benjamini-Schramm convergence of hyperbolic surfaces
Abstract

Diapos / Slides
10:00 - 10:20
Coffee break
10:20 - 11:05
Paul Bourgade
(New York University)
Random matrices beyond mean-field
Abstract
11:15 - 12:00
Open Problem Session

12:00
Closure of the workshop