Short Course: Spectral Theory and Mathematical Approaches to Localization

January 7:

• 9:00 – 9:30: Welcome coffee/registration
• 10:00 – 10:15: Welcome word (Alain/Guy/Marcel)
• 10:15 – 11:15: Thierry Giamarchi, Course 1 — View presentation recording
• 11:15 – 11:30: Coffee break
• 11:30 – 12:30: Frédéric Klopp, Course 1 — View presentation recording
• 12:30 – 14:00: Lunch break at Ecole Polytechnique
• 14:00 – 15:00: Thierry Giamarchi, Course 2 — View presentation recording
• 15:00 – 15:30: Coffee break
• 15:30 – 16:30: Frédéric Klopp, Course 2 — View presentation recording

January 8

• 9:00 – 9:15: Welcome coffee
• 9:15 – 10:30: Thierry Giamarchi, Course 3 — View presentation recording
• 10:30 – 11:00: Coffee break
• 11:00 – 12:15: Frédéric Klopp, Course 3 — View presentation recording
• Afternoon free

Thierry Giamarchi (Geneve) — "Localization: from basic ideas to realistic systems"

• About: Thierry Giamarchi holds a Ph.D. in physics from Paris XI University. A permanent member of France’s CNRS since 1986, he was a postdoc/visiting fellow at Bell Laboratories between 1990 and 1992, and in 2002 he became full professor in the Condensed Matter Department of the University of Geneva. His research focuses on the effects of interactions in low-dimensional quantum systems, such as Tomonaga-Luttinger liquids, and on the effects of disorder in classical and quantum systems. He is a fellow of the American Physical Society and, since 2013, a member of the French Academy of Sciences. In 2010 he was recognized as an Outstanding Referee by the American Physical Society. For more information please visit his website.
• Abstract: Anderson suggested in 1958 that, paradoxically, quantum systems could be much more sensitive to disorder than classical ones and that disorder could completely block, under certain conditions, the propagation of waves. I will review in these lectures the basic concepts and methods that have been used by physicists to tackle this problem, as well as the various concepts and puzzles that have emerged.  I will also discuss the various experimental systems in which this phenomenon has been investigated and the complications that one has to consider when dealing with such systems.  

Frédéric Klopp (Paris) — "The mathematics of localization in random media"

• About: View Frédéric Klopp's Research Gate profile
• Abstract: Localization originated in solid state physics. The aim of the lecture is to present a panorama of mathematical results that has been built up during the last 40 years. We do not aim at being exhaustive but hope to be able to cover the diversity of results that have been obtained. While time will not allow to give full proofs, we will try to explain the basics ideas and mechanisms at play in the proofs.

• Vasiliki Angelopoulou, Institut d' Optique Graduate School
• Douglas Arnold, University of Minnesota
• Alain Aspect, Institut d'Optique Graduate School
• Geoffrey Aubry, Université de Fribourg
• Guillaume Berthet, Institut d'Optique Graduate School
• Thomas Bourdel, Institut d'Optique Graduate School
• Yann Chalopin, Centrale Supélec
• Régis Cottereau, CR CNRS
• Zanbing Dai, University of Minnesota
• Alexandre Dareau, Laboratoire Charles Fabry - Institut d'Optique
• Guy David, Université Paris-Sud
• Perceval Desforges, Ecole polytechnique
• Max Engelstein, MIT
• Marcel Filoche, Ecole polytechnique
• Richard Friend, University of Cambridge
• Azriel Genack, City University of New York (CUNY)
• Thierry Giamarchi, Université de Genève
• Wiebke Hahn, Ecole polytechnique
• Kaibo Hu, University of Minnesota
• David Jerison, MIT
• Vincent Josse, Institut d'Optique Graduate School
• Frédéric Klopp, Sorbonne Université
• Baptiste Lecoutre, Institut d'Optique Graduate School - LCF
• Jean-Marie Lentali, Ecole polytechnique
• Antoine Levitt, Inria & ENPC
• Katherine Lindsay, University of Minnesota
• Tyson Loudon, University of Minnesota
• Svitlana Mayoboroda, University of Minnesota
• Yves Meyer, ENS Paris Saclay
• Romain Monsarrat, Institut Langevin, ESPCI Paris
• Fabrice Morgessagne, Université Côte d’Azur
• Maria Mukhina, Harvard University
• Vincent Pagneux, CNRS - Université du Mans
• Jacques Peretti, Ecole polytechnique
• Lorenzo Pistone, Unversity of Turin
• Bruno Poggi, University of Minnesota
• Claudio Quarti, Université de Mons
• Guillermo Rey, University of Minnesota
• Yishai Schreiber, Bar-Ilan University
• Thibault Scoquart, Laboratoire Kastler Brossel
• Brian Shi, University of Minnesota
• Serguey Skipetrov, CNRS
• Hong Wang, MIT
• Claude Weisbuch, University of California - Santa Barbara
• Yuh-Ren Wu, National Taiwan University
• Hepeng Yao, Ecole Polytechnique