Organized by: William Yessen and Zhenghe Zhang Dates: June 6 – 10, 2016 The study of 1D discrete Schroedinger equation lies across physics, spectral theory, and dynamical systems. It models the motion of a quantum particle in a disordered medium. The evolution of motion is studied via the spectral theory of the Schroedinger operator. For … Read more
Organized by: Lara B. Anderson, David Baraglia, Laura P. Schaposnik, and Vivek Shende Dates: June 13 – 17, 2016 The aim of this workshop is to connect recent developments and open questions in the study of branes in the moduli space of Higgs bundles with other areas of mathematics and theoretical physics: differential and algebraic … Read more
Organized by: Simon Donaldson, Kenji Fukaya, and John Morgan, Recent Developments in the Mathematical Study of Gauge Theory: The workshop will focus on geometrical and analytical aspects Gauge Theories beyond the `classical’ cases of SU(2)- and SO(3)-gauge theory in dimensions 3 and 4. Topics will include gauge theory on complex manifolds and on manifolds with … Read more
Organized by Martin Hairer Stochastic partial differential equations allow to describe phenomena that vary in both space and time and are subject to random influences. They arise naturally in a variety of contexts, including the description of the large-scale behaviour of random systems in statistical mechanics, the modelling of forward interest rates, the description of … Read more
Organized by Marco Gualtieri, Nigel Hitchin, Ctirad Klimcik, Yolanda Lozano, Eoin Ó Colgáin, Martin Rocek, Konstantinos Sfetsos, and Daniel Thompson Dates: May 9 – 13, 2016 Over the last few years we have witnessed a resurgence of interest in geometrical facets of T-duality, with developments coming thick and fast on a number of fronts. The … Read more
Organized by: Sasha Abanov, Tankut Can, Anton Kapustin and Paul Wiegmann This workshop marks the start of the program “Geometry of Quantum Hall States” at the SCGP. While the program mostly focuses on recent advances in the geometric approach to the quantum Hall effect, the purpose of the workshop is to encourage a broader discussion … Read more
Organized by Arjun Bagchi, Glenn Barnich, Stephane Detournay, Daniel Grumiller, and Joan Simon Dates: April 4 – 8, 2016 Over the last fifteen years our understanding of quantum gravity in string theory has been transformed by the discovery and exploitation of D-branes and the AdS/CFT correspondence in string theory. The holographic principle, positing massive reduction … Read more
Organized by: Pavel Bleher, Vladimir Korepin and Bernard Nienhuis Dates: March 14-18, 2016 The workshop will be devoted to recent results on the six-vertex and related models. The bulk free energy in the six-vertex model was explicitly calculated for periodic boundary conditions by Lieb. Then other boundary conditions were studied. A very interesting case is … Read more
Organized by Simon Donaldson, Kenji Fukaya, Hans-Joachim Hein, Song Sun Dates: November 9 – 13, 2015 The subject of the workshop is the Gromov-Hausdorff convergence of sequences of Riemannian manifolds under a variety of curvature and other natural geometric bounds. Such Gromov-Hausdorff limits are typically highly singu- lar metric spaces. By studying their regularity properties, … Read more
Random Matrix Theory, Integrable Systems, and Topology in Physics, November 2-6, 2015 Organized by Yan Fyodorov, Mario Kieburg, and Jacobus Verbaarschot This is the second workshop in the Simons Center Program on Foundations and Application of Random Matrix Theory in Mathematics and Physics. This workshop will highlight future and recent applications of Random Matrix Theory … Read more
