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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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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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