Mathematical Physics aspects of localization

Les Diablerets, Switzerland
March 28 - April 1, 2022
Organizer: Hugo Duminil-Copin
Conference Information:

Within the framework of the Simons collaboration on localization on waves, we organize a workshop on the mathematical aspects of localization. The topics of the conference will include mathematical progress on Anderson's model in various dimensions, applications of the landscape function, graphical representations and random walk models associated with localization/delocalization questions, and percolation perspectives on random waves.

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Schedule

Sunday (3/27)  
19:00 Welcome Reception in the Lobby Bar
Dinner  
   
Monday (3/28)  
Breakfast  
09:00-10:00 Antti Knowles - Spectral phases of Erdös-Rényi graphs
10:00-10:30 Coffee Break
10:30-11:30 Svitlana Mayboroda - The landscape of localization: an overview
11:30-12:30 Piet Lammers - Height function delocalisation on cubic planar graphs
Lunch  
17:00-18:00 Trishen Gunaratnam - Open problems about quantum percolation
18:00-19:00 Marcel Filoche - Is the mobility edge of the Anderson transition a percolation problem?
Dinner  
   
Tuesday (3/29) Free for discussions
Breakfast  
Lunch  
Dinner  
   
Wednesday (3/30)  
Breakfast  
Lunch  
15:30-16:30 Christophe Sabot - Reinforced random walk, random Schrödinger operator and hyperbolic supersymetric field: an overview (1/2)
16:30-17:00 Coffee Break
17:00-18:00 Franco Severo - On the off-critical level sets of smooth Gaussian fields
18:00-19:00 Daniel Ueltschi - Classical and quantum spin systems and their geometric representations
Dinner  
   
Thursday (3/31)  
Breakfast  
09:00-10:00 Cyril Labbe - The 1d continuous Anderson Hamiltonian with a white noise (1/2)
   
10:00-10:30 Coffee Break
10:30-11:30 Antoine Gloria - Exponential decay of the Green function in a random potential
11:30-12:30 Hugo Duminil-Copin - High dimensional random waves
Lunch  
17:00-18:00 Max Engelstein - Rectifiability and Harmonic Measure: an introduction to the Dirichlet problem on Rough Domains
18:00-19:00 Gady Kozma - The quantum Heisnberg ferromagnet and the interchange process via representation theory
Dinner  
   
Friday (4/1)  
Breakfast  
09:00-10:00 Laure Dumaz - The 1d continuous Anderson Hamiltonian with a white noise (2/2)
10:00-10:30 Coffee Break
10:30-11:30 Guy David - The landscape law for the integrated density of states
11:30-12:30 Xiaolin Zeng - Reinforced random walk, random Schrödinger operator and hyperbolic supersymetric field: an overview (2/2)
Lunch

 

Participants

  • Lior Alon
  • Jean-Philippe Banon
  • Jakob Bjornberg
  • Letrouit Cyril
  • Guy David
  • Stefano Decio
  • Laure Dumaz
  • Hugo Duminil-Copin
  • Max Engelstein
  • Marcel Filoche
  • Christophe Garban
  • Scott Gilbert
  • Antoine Gloria
  • Trishen Gunaratnam
  • Antti Knowles
  • Gady Kozma
  • Cyril Labbe
  • Piet Lammers
  • Aleksandr Logunov
  • Ioan Manolescu
  • Svitlana Mayboroda
  • Agustin Moreno
  • Sebastien Ott
  • Ron Peled
  • Christophe Sabot
  • Franco Severo
  • Stanislav Smirnov
  • Daniel Ueltschi
  • Yvan Velenik
  • Xiaolin Zeng