Organized by Robert Berman, Semyon Klevtsov, Paul Wiegmann, and Steve Zelditch April 20 – June 19, 2015 This program centers on the use of holomorphic sections of high powers of positive Hermitian holomorphic line bundles over a Kahler manifold to construct projective embeddings, Bergman Kahler metrics, and Gaussian random fields. The main tool is the … Read more
Organized by Sergei Gukov, Mikhail Khovanov, and Piotr Sulkowski March 16 – June 12, 2015 The aim of this program is to understand new relations between knot theory, supersymmetric field theories, and string theory. Tremendous development in knot theory in recent decades led to the formulation of polynomial knot invariants, such as the Jones polynomial … Read more
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
Organized by Andrew Millis and Mark van Schilfgaarde Dates: June 8-12, 2015 The Simons Collaboration on the Many Electron Problem will hold its second annual summer school June 8-12 at the Simons Center for Geometry and Physics at Stony Brook University. 56 collaboration members and guests will participate. Organized by collaboration scientist Mark van Schilfgaarde, … Read more
Organized by Tetsuo Deguchi, Anthony Guttman, Jean-Michel Maillet, Barry McCoy, and Alexander Zamolodchikov Dates: March 2 – 6, 2015 There is a fundamental paradox in statistical mechanics that we do exact computations on systems with very special symmetry properties and then apply the intuition gained to generic systems which do not have these symmetries. We … Read more
Mathematical Problems in General Relativity Organized by Mike Anderson, Sergiu Klainerman, Philippe LeFloch, and Jared Speck January 5 – February 6, 2015 Einsteins field equation of general relativity is one of the most important geometric partial differential equations. Over the past decade, the mathematical research on Einstein equation has made spectacular progress on many fronts, … Read more
General Public Lecture Thursday December 4 Wine and Cheese Reception: 5:00pm, Simons Center Lobby and Art Gallery Lecture: 5:45pm, Simons Center Auditorium, Room 103 Title: “The Art of Listening. Carefully.” This event is in collaboration with the opening of the ‘Art and the Quantum Moment’ exhibition. For more information please visit: scgp.stonybrook.edu/archives/12754 ABSTRACT Waves permeate … Read more
Organized by Sergei Gukov, Nuno Romao, and Samson Shatashvili Dates: November 3 – 7, 2014 Gauged sigma-models from Riemann surfaces to Kaehler targets have been an important ingredient in recent developments at the crossroads of quantum field theory, geometry and topology. Of particular interest are models that exhibit self-duality, since they are more amenable to rigorous treatment — they … 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 … Read more
Application for workshop  is now closed. Organized by Kevin Costello, Ryan Grady, Owen Gwilliam, and Si Li Dates: September 29 – October 3, 2014 The Batalin-Vilkovisky (BV) formalism is a powerful method for constructing quantum field theories, notably gauge and supergravity theories. Recently, the language of derived geometry and homotopical algebra has provided a deeper interpretation … Read more
