Organized by: Anton Alekseev, Marco Gualtieri, and Xiaomeng Xu When a system of differential equations has an irregular singularity, such as a pole of order two or higher, a solution may fail to have a well-defined asymptotic expansion at the singular locus. Instead, there is a collection of angular sectors surrounding the singular locus, in […]
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Neural networks and the Data Science Revolution: from theoretical physics to neuroscience, and back: January 6-31, 2020
Organized by: Michael R. Douglas, Sergei Gukov, Jim Halverson, Sven Krippendorf, Fabian Ruehle, Giancarlo La Camera, Luca Mazzucato, Jin Wang The availability of very large datasets and the striking progress in artificial intelligence are revolutionizing the way scientists approach their disciplines. The deployment of state-of-the-art techniques in machine learning and statistical inference to study large […]
Renormalization and universality in Conformal Geometry, Dynamics, Random Processes, and Field Theory: February 3 – June 5, 2020
Organizers: Kostya Khanin and Misha Lyubich The goal of the program is to bring together mathematicians and physicists working on various aspects of renormalization in dynamical systems. The idea of Renormalization group emerged in Quantum Field Theory. Later, in the 1960s, it became a major tool in Statistical Mechanics in analysis of phase transitions and […]
Quantum-Mechanical Systems at Large Quantum Number: August 26 – September 20, 2019
Organized by: Luis Alvarez-Gaume, Simeon Hellerman, Domenico Orlando, and Susanne Reffert QFT is the basic paradigm for the description of condensed matter physics and high-energy particle physics. Despite decades of research, strongly coupled regimes of QFT are largely inaccessible to analytic methods, even though important progress has come from the conformal bootstrap and non-Lagrangian methods. […]
Geometrical aspects of topological phases of matter: spatial symmetries, fractons and beyond: April 13-June 5, 2020
Organized by: Jennifer Cano, Dominic Else, Andrey Gromov, Siddharth Parameswaran, and Yizhi You Topological phases of matter are a long-standing subject of interest in the condensed matter community, and increasingly relevant to issues in high-energy physics. A topological phase is traditionally defined to be one which is “non-trivial” (cannot be deformed to a trivial insulator […]
Universality and ergodicity in quantum many-body systems: August 26-October 18, 2019
Organized by: Boris Altshuler, Anatoly Dymarsky, Lea Santos, and Jacobus Verbaarschot Dynamics of quantum many-body systems is attracting extensive attention across different fields of physics: theoretical and experimental condensed matter, AMO physics, high energy theory, quantum information, and others. Remarkable progress has been achieved in the past years understanding thermalization, or lack thereof, of isolated […]
Geometry and Physics of Hitchin Systems: January 22 – June 21, 2019
Organized by Lara Anderson and Laura Schaposnik Hitchin systems have found remarkable applications in many different areas of mathematics and physics. In particular, Hausel and Thaddeus related Higgs bundles to mirror symmetry, and in the work of Kapustin and Witten, Higgs bundles were used to give a physical derivation of the geometric Langlands correspondence. Moreover, […]
Automorphic Structures in String Theory: March 4 – April 5, 2019
Organized by Daniel Persson, Terry Gannon, David Ginzburg, Axel Kleinschmidt, Stephen D. Miller, Boris Pioline The purpose of this interdisciplinary program is to investigate connections between string theory, automorphic forms, mock modular forms and beyond. Automorphic representations form a cornerstone of the Langlands program, while at the same time playing a crucial role in understanding the […]
Operator Algebras and Quantum Physics: June 3-30, 2019
Organized by: Stefan Hollands, Vaughan Jones, Gandalf Lechner, Roberto Longo Since Heisenberg’s and Jordan’s “matrix formulation” of quantum mechanics about one hundred years ago, theoretical quantum physics has been a major incentive for mathematical research into operator algebras. The stimulus from physics has helped the development of this field, founded by von Neumann with the […]
Exactly Solvable Models of Quantum Field Theory and Statistical Mechanics: September 4 – November 30, 2018
Organized by: Nathan Haouzi, Vladimir E. Korepin, Sergei L. Lukyanov, Nikita A. Nekrasov, Samson Shatashvili, and Alexander B. Zamolodchikov Weekly program seminars are held on Mondays at 11:30am and Fridays at 11:00am. For the full upcoming schedule please visit our calendar: http://scgp.stonybrook.edu/calendar/full-calendar Integrability is a traditional area of mathematical physics. For 1+1 dimensional field theory the […]
