Organized by: Nikita Nekrasov, Alexander Turbiner and Alexander Abanov. Abstract: Calogero-Moser-Sutherland many-body systems arose originally in the 1970’s simultaneously in Nuclear Physics, Mathematical Physics and Solid State Physics. Since then they were found in some incarnations in diverse branches of physics and mathematics such as the theory of quantum Hall effect, Yang-Mills and Chern-Simons … Read more
Interactions of Homotopy Theory and Algebraic Topology with Physics through Algebra and Geometry Organized by John Morgan and Dennis Sullivan October 1, 2014 – June 30, 2015 While activities will depend on the visitors for their specific focus, we expect them to be organized around several general themes: (i) rigorous approaches to perturbative quantum field theories, and especially to gauge theories … Read more
Geometric Flows Organized by Simon Brendle, Xiuxiong Chen, Simon Donaldson, and Yuanqi Wang October 13 – December 19, 2014 Since its invention in 1982, Hamilton’s Ricci flow has become a central tool in global differential geometry. In particular, the Ricci flow has played a central role in Perelman’s proof of the Poincare conjecture, as well as … Read more
Gauge Theory, Integrability, and Novel Symmetries of Quantum Field Theory Organized by Anton Kapustin, Nikita Nekrasov, Samson Shatashvili, Volker Schomerus, and Konstantin Zarembo September 2 – December 19, 2014 The interplay between the supersymmetric gauge theories and (non-supersymmetric) integrable theories in various dimensions is a puzzling development of several decades of research. In recent years … Read more
G2 Manifolds Organized by Mark Haskins, Dietmar Salamon, and Simon Donaldson August 18 – October 3, 2014 This program seeks to connect recent developments and open questions in the theory of compact manifolds with special or exceptional holonomy (especially G_2 manifolds) with other areas of mathematics and theoretical physics: differential topology, algebraic geometry, (non compact) Calabi-Yau … Read more
During the week of May 5 – 9, 2014 there will be a joint seminar series by Helmut Hofer (IAS) and Dominic Joyce (Oxford). SCHEDULE: Monday May 5 1:00pm – 2:00pm, SCGP Room 313 – Dominic Joyce, “The 2-categories of d-manifolds and d-orbifolds” Download Slides 2:30pm – 3:30pm, SCGP Room 313 – Helmut Hofer, “Polyfold” Tuesday … Read more
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, … Read more
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 … Read more
