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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. […]

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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 […]

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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 […]

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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, […]

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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 […]

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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 […]

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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 […]

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Localization Techniques in Quantum Field Theories: January 16 – February 16, 2018

Organized by: Vasily Pestun and Maxime Zabzine The program will be focusing on the development of localization techniques in quantum field theories and its applications. In particular we want to concentrate on the developments in the field since 2007. The main idea of different localization formulas is that the specific finite dimensional integral can be […]

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Poisson geometry of moduli spaces, associators and quantum field theory: April 30-June 29, 2018

Organized by: Anton Alexeev and Samson Shatashvili The proposed program will touch upon two topics in Mathematics: Poisson geometry of moduli spaces and the theory of associators, and some of the mathematical aspects of quantum field theory. Both the moduli space theory and the associator theory are intimately related to quantum field theory. In particular, […]

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Geometrical and statistical fluid dynamics: October 2-27, 2017

Organized by: Uriel Frisch, Konstantin Khanin and Rahul Pandit Some of the most basic questions relating to the Euler and Navier-Stokes equations for the motion of a 3D incompressible fluid are still open. There is a strong belief that answers to these questions cannot be obtained without creative use of geometric/Lagrangian and measure-theoretic/probabilistic tools. This […]

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