Organized by: Lukasz Fidkowski, Dan Freed, and Anton Kapustin May 1 – June 23, 2017 Over the last decade there has been a lot of progress in understanding gapped quantum phases of matter. To a large extent this progress has been achieved by exploiting connections to seemingly unrelated areas of mathematical physics, such as Topological […]
Archive | 2016-2017ay
Turbulent and laminar flows in two dimensions: March 20 – April 21, 2017
Organized by: Gregory Falkovich and Alexander Zamolodchikov Fluid mechanics in two dimensions has wide range of applications and possesses unique mathematical properties which are far from being fully explored and used. A landmark feature of turbulence in two dimensions is an inverse cascade, that is an appearance of large vortices and jets out of multi-scale […]
Mathematics of gauge fields: October 10, 2016 – April 28, 2017
Organized by: Simon Donaldson, Kenji Fukaya, and John Morgan The program will focus on various mathematical aspects of gauge theory, including applications to topology and geometry. This area of study began when Donaldson showed how to use the moduli space of ASD connections on auxiliary SU(2)-bundles of charge one on a Riemannian 4-manifold to study […]
Entanglement and Dynamical Systems: September 7 – December 16, 2016
Organized By: Chris Herzog, Vladimir Korepin and Bruno Nachtergaele. Entanglement is the property of quantum states that most clearly distinguishes them from classical states. Entanglement is responsible for the fascinating effects in the low-temperature states of matter and the phase transitions between them that are the subject of much research in experimental and theoretical […]
Automorphic forms, mock modular forms and string theory: August 29 – September 30, 2016
Organized by: Terry Gannon, David Ginzburg, Axel Kleinschmidt, Stephen D. Miller, Daniel Persson, and Boris Pioline The purpose of this interdisciplinary program is to investigate connections between string theory and the theory of automorphic forms, modular forms and mock modular forms. This is an emergent field with a lot of potential for interdisciplinary collaborations. Recent […]