Organized By: David Eisenbud, David Morrison, Irena Peeva A matrix factorization of an element w in a polynomial or power series ring (more generally, in a local or graded regular commutative ring) is a pair of square matrices (A, B) of the same size such that AB = BA = wE, where E is an … Read more
Organized by: Lukasz Fidkowski, Dan Freed, and Anton Kapustin Previously, phases of matter were mostly classified based on symmetry principles, or purely on the basis of topological properties. Recent developments however have highlighted the interplay of symmetry and topology as manifested by topological insulators and other symmetry protected topological (SPT) phases, and by symmetry enrichment … Read more
Organized By: Mohammed Abouzaid, Denis Auroux, Ron Donagi, Kenji Fukaya, Tony Pantev Mirror symmetry’s most spectacular predictions are those about enumerative invariants of Calabi-Yau threefolds, which exhibit intricate structures when studied for all degrees and genera. This workshop will focus on new developments whose goal is to provide a conceptual approach to the study of … Read more
Organized by: Dan Cristofaro-Gardiner, Richard Hind, Michael Hutchings. Despite the fundamental importance of symplectic geometry, many basic questions about it are not well understood. Quantitative symplectic geometry is concerned with closely related questions of size and time in symplectic geometry. Specifically, when can one symplectic manifold with boundary (such as a domain in ) be … Read more
Organized by: Simon Donaldson, Kenji Fukaya, and John Morgan Gauge Theory and Low Dimensional Topology: With the introduction of Seiberg-Witten theory in the mid 1990s the study of the instanton moduli spaces in dimensions 3 and 4 took a secondary role. Nevertheless, these moduli spaces have a rich geometric structure that has not been fully … Read more
Organized by: Christopher Bishop and Joe Mitchell The Simons Center for Geometry and Physics is running a week-long workshop on discrete and computational geometry April 17-21, 2017.The intended audience is graduate students, postdocs, and researchers in mathematics and computer science who are not necessarily working in this area, but are interested in learning what it … Read more
Organized By: Rouven Essig, Jeremy Mardon, Samuel McDermott, Peter Sorensen, Tomer Volansky, and Tien-Tien Yu. The identity of dark matter is one of the most important and urgent problems in physics today. For more than three decades, the dominant paradigm for explaining dark matter has been a Weakly Interacting Massive Particle (WIMP) and most theoretical … Read more
Organized by: Gregory Falkovich, Leonid Levitov 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. Even laminar and regular flows in two dimensions are of great interest ranging from microfluidics to emerging hydrodynamics of current flows in … Read more
Fourth Annual Summer School: Simons Collaboration on the Many Electron Problem: June 19 – 23, 2017 The Simons Collaboration on the Many Electron Problem will hold its fourth annual summer school June 19-23 at the Simons Center for Geometry and Physics at Stony Brook University. 55 collaboration members and guests will participate. Organized by collaboration … Read more
Organized by: Eric Bergshoeff, Gary Gibbons, Rob Leigh, Djordje Minic, and Dam Thanh Son. Recent studies of non-AdS holography involving Lifshitz spacetimes have led to a boundary conformal field theory coupled to an extension of Newton-Cartan geometry that includes twistless torsion. At the same time, effective field theories in Newton-Cartan backgrounds have been studied and … Read more
