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Hydrodynamics, ergodicity, entanglement and localization in interacting lattice models and field theories: September 11 – December 15, 2017

Organized by: Alexander Abanov, Kristan Jensen, and Vadim Oganesyan Scientific advisors: Igor Aleiner, David Huse, Anatoli Polkovnikov, Steven Shenker The program aims to highlight and explore recent progress in understanding the emergence of macroscopic dynamical laws in many-body systems. Traditionally, the challenge of connecting macroscopic and microscopic many-body dynamics was addressed by computing hydrodynamic parameters, […]

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Turbulent and laminar flows in two dimensions: March 20 – April 21, 2017

Organized by: Gregory Falkovich 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. A landmark feature of turbulence in two dimensions is an inverse cascade, that is an appearance of large vortices and jets out of multi-scale […]

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Mathematics of gauge fields: October 10, 2016 – April 28, 2017

Organized by: Simon Donaldson, Kenji Fukaya, and John Morgan The program will focus on various mathematical aspects of gauge theory, including applications to topology and geometry. This area of study began when Donaldson showed how to use the moduli space of ASD connections on auxiliary SU(2)-bundles of charge one on a Riemannian 4-manifold to study […]

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Entanglement and Dynamical Systems: September 7 – December 16, 2016

Organized By: Chris Herzog, Vladimir Korepin and Bruno Nachtergaele.   Entanglement is the property of quantum states that most clearly distinguishes them from classical states. Entanglement is responsible for the fascinating effects in the low-temperature states of matter and the phase transitions between them that are the subject of much research in experimental and theoretical […]

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Geometry of Quantum Hall States: April 18, 2016 – June 17, 2016

Geometry of Quantum Hall States Organized by Sasha Abanov, Tankut Can, Anton Kapustin, and Paul Wiegmann April 18, 2016 – June 17, 2016 The quantum Hall effect (QHE) is a fascinating and important phenomenon. Since its experimental discovery in the early 80’s the QHE continues to fuel work in experimental physics, metrology, fundamental theoretical physics […]

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Complex, p-adic, and logarithmic Hodge theory and their applications: March 6, 2016 – April 29, 2016

Complex, p-adic, and logarithmic Hodge theory and their applications Organized by Mark de Cataldo, Radu Laza, Christian Schnell March 7, 2016 – April 29, 2016 Hodge theory is a very powerful tool for understanding the geometry of complex algebraic varieties and it has a wide range of applications in complex and algebraic geometry, mirror symmetry, […]

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Statistical mechanics and combinatorics: February 15 – April 15, 2016

Statistical mechanics and combinatorics Organized by Pavel Bleher, Vladimir Korepin, and Bernard Nienhuis February 15 – April 15, 2016 The purpose of the program is to relate physics and mathematics, and more specifically, statistical mechanics, algebraic combinatorics, and random matrices. The program will focus on the six-vertex model of statistical mechanics and related models, such […]

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Geometric representation theory: January 4-29th, 2016

Geometric representation theory Organized by: David Ben-Zvi, Roman Bezrukavnikov and Alexander Braverman January 4-29th, 2016 The program will focus on emerging trends in representation theory and their relation to the more traditional ideas of the subject. The celebrated success of the perverse sheaves methods in 1980’s has led to development of a direction which may […]

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Moduli spaces and singularities in algebraic and Riemannian geometry – Aug 17 – Nov 20

Moduli spaces and singularities in algebraic and Riemannian geometry Organized by Simon Donaldson (SCGP), Hans-Joachim Hein (Maryland), Henry Guenancia (Stony Brook), Radu Laza (Stony Brook), Yuji Odaka (Kyoto), Song Sun (Stony Brook),Valentino Tosatti (Northwestern) August 17-November 20th, 2015 Weekly Talks are held in SCGP Rm 313. The theme of this program is the interaction between […]

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