Mathematical Physics aspects of localization

Eurotel Victoria
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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Sunday (3/27)  
19:00 Welcome Reception in the Lobby Bar
Monday (3/28)  
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
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?
Tuesday (3/29) Free for discussions
Wednesday (3/30)  
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
Thursday (3/31)  
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
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
Friday (4/1)  
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)



  • Lior Alon, Institute for Advanced Study, Princeton
  • Jean-Philippe Banon, École Polytechnique, France
  • Jakob Björnberg, Chalmers and Göteborg University, Sweden
  • Cyril Letrouit, École Normale Supérieure, France
  • Guy David, Université Paris-Saclay, France
  • Stefano Decio, Norwegian University of Science and Technology
  • Laure Dumaz, École Normale Supérieure, France
  • Hugo Duminil-Copin, University of Geneva, Switzerland
  • Max Engelstein, University of Minnesota - Twin Cities
  • Marcel Filoche, École Polytechnique, France
  • Christophe Garban, Université Lyon, France
  • Scott Gilbert, University of Minnesota - Twin Cities
  • Antoine Gloria, Sorbonne Université, France
  • Trishen Gunaratnam, University of Geneva, Switzerland
  • Antti Knowles, University of Geneva, Switzerland
  • Gady Kozma, Weizmann Institute for Science, Israel
  • Cyril Labbe, Université de Paris, France
  • Piet Lammers, Institut des Hautes Études Scientifique, France
  • Aleksandr Logunov, University of Geneva, Switzerland
  • Ioan Manolescu, University of Fribourg, Switzerland
  • Svitlana Mayboroda, University of Minnesota - Twin Cities
  • Agustin Moreno, Institute for Advanced Study, Princeton
  • Sebastien Ott, University of Fribourg, Switzerland
  • Ron Peled, Tel Aviv University, Israel
  • Christophe Sabot, Université de Lyon, France
  • Franco Severo, ETH Zürich, Switzerland
  • Stanislav Smirnov, University of Geneva, Switzerland
  • Daniel Ueltschi, University of Warwick, England
  • Yvan Velenik, University of Geneva, Switzerland
  • Xiaolin Zeng, Université de Strasbourg, France