Organized by Kenji Fukaya, Dusa McDuff, and John Morgan January 2 – June 30, 2014 Gromov-Witten theory, Lagrangian-Floer homology and symplectic field theory arise from the notion of pseudo-holomorphic curves, possibly with boundary conditions, in symplectic manifolds. All these theories rely in a fundamental way on Gromov’s compactness result for moduli spaces of pseudo-holomorphic curves, […]
Archive | 2013-2014ay
Quantum Anomalies, Topology, and Hydrodynamics
Quantum Anomalies, Topology, and Hydrodynamics Organized by Alexander Abanov, Dmitri Kharzeev, Boris Khesin, Dam Son, and Paul Wiegmann February 17-June 13, 2014 Recent developments in relativistic hydrodynamics place it at the crossroads of nuclear physics, condensed matter physics and string theory. Hydrodynamics is known to be very effective in describing the long-wavelength behavior of many […]
Quiver Varieties
Organized by Ljudmila Kamenova, Alexander Kirillov, Jr., Nikita Nekrasov, and Olivier Schiffmann September 30 – November 8, 2013 Quivers and quiver varieties, introduced and studied in a series of papers of Nakajima, Lusztig, Ringel and others in 1990s, have since appeared in many areas of mathematics and mathematical physics, from gauge theory, string theory, […]
Physics and Mathematics of Scattering Amplitudes
Physics and Mathematics of Scattering Amplitudes Organized by Zvi Bern, Lance Dixon, Michael Douglas, Alexander Goncharov, and Lionel Mason Fall 2013 Starting date: August 26, 2013 The study of scattering amplitudes in relativistic quantum field theory has undergone a remarkable renaissance and transformation in recent years, with the advent of new perturbative approaches such […]
Mock Modular Forms, Moonshine, and String Theory
Mock Modular Forms, Moonshine, and String Theory Organized by Miranda Cheng, Matthias Gaberdiel, and Terry Gannon August 26 – September 27, 2013 Modular functions, Jacobi forms and mock modular forms appear naturally in various contexts in string theory and conformal field theory. In particular, characters of conformal field theories (CFTs) define (vector-valued) modular functions, while […]
