Random perturbations of Landau Hamiltonians and Semiclassical Analysis (25rit034)

The Banff International Research Station will host the "Random perturbations of Landau Hamiltonians and Semiclassical Analysis" workshop in Banff from May 25 to June 1, 2025.

Central to random Schrödinger operator theory, the integer quantum Hall effect (IQHE) concerns the transport properties of a 2-dimensional electron system in the presence of a magnetic field and a random potential. The localization of states in this system, a phenomenon carrying the moniker of Anderson localization (itself being part of what earned P.W. Anderson the 1977 Nobel Prize in Physics), is a key ingredient in proving IQHE. Landau Hamiltonians with random, bounded potentials form the principal model where the IQHE has been demonstrated. This workshop will focus on another aspect of the IQHE through the lenses of microlocal analysis, specifically in proving certain Possion properties of this random Landau model.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), and Alberta's Advanced Education and Technology.