Organized by Lara Anderson and Laura Schaposnik Hitchin systems have found remarkable applications in many different areas of mathematics and physics. In particular, Hausel and Thaddeus related Higgs bundles to mirror symmetry, and in the work of Kapustin and Witten, […]
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Automorphic Structures in String Theory: March 4 – April 5, 2019
Organized by Daniel Persson, Terry Gannon, David Ginzburg, Axel Kleinschmidt, Stephen D. Miller, Boris Pioline The purpose of this interdisciplinary program is to investigate connections between string theory, automorphic forms, mock modular forms and beyond. Automorphic representations form a cornerstone of […]
Operator Algebras and Quantum Physics: June 3-30, 2019
Organized by: Stefan Hollands, Vaughan Jones, Gandalf Lechner, Roberto Longo Since Heisenberg’s and Jordan’s “matrix formulation” of quantum mechanics about one hundred years ago, theoretical quantum physics has been a major incentive for mathematical research into operator algebras. The stimulus […]
Exactly Solvable Models of Quantum Field Theory and Statistical Mechanics: September 4 – November 30, 2018
Organized by: Vladimir E. Korepin, Sergei L. Lukyanov, Nikita A. Nekrasov, Samson L. Shatashvili and Alexander B. Zamolodchikov Integrability is a traditional area of mathematical physics. For 1+1 dimensional field theory the inverse scattering method is an appropriate method. It […]
Localization Techniques in Quantum Field Theories: January 16 – February 16, 2018
Organized by: Vasily Pestun and Maxime Zabzine The program will be focusing on the development of localization techniques in quantum field theories and its applications. In particular we want to concentrate on the developments in the field since 2007. The […]
Poisson geometry of moduli spaces, associators and quantum field theory: April 30-June 29, 2018
Organized by: Anton Alexeev and Samson Shatashvili The proposed program will touch upon two topics in Mathematics: Poisson geometry of moduli spaces and the theory of associators, and some of the mathematical aspects of quantum field theory. Both the moduli […]
Geometrical and statistical fluid dynamics: October 2-27, 2017
Organized by: Uriel Frisch, Konstantin Khanin and Rahul Pandit Some of the most basic questions relating to the Euler and Navier-Stokes equations for the motion of a 3D incompressible fluid are still open. There is a strong belief that answers […]
Hydrodynamics, ergodicity, entanglement and localization in interacting lattice models and field theories: September 11 – December 15, 2017
Organized by: Alexander Abanov, Kristan Jensen, and Vadim Oganesyan Scientific advisors: Igor Aleiner, David Huse, Anatoli Polkovnikov, Steven Shenker The program aims to highlight and explore recent progress in understanding the emergence of macroscopic dynamical laws in many-body systems. Traditionally, […]
Mathematics of topological phases of matter: May 1- June 23, 2017
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 […]
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 […]
