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The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications,  e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years,  thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, th...

The interest in turbulent flow goes back many centuries, but progress has been very slow until recently, from the point of view of ab initio theory (starting from the Euler or Navier-Stokes equations). In the 20th century, innumerable applications,  e.g., in aeronautics or atmospheric and oceanic circulation, have been a major driving force for progress. In the last eighty years,  thanks (a) to the scaling predictions of Kolmogorov in 1941 (K41), (b) to Onsager's 1949 (Ons49) criterion for anomalous energy dissipation, and (c) to Kraichnan's discovery of the inverse energy cascade for 2D turbulence, we have had the beginnings of a theoretical understanding. Furthermore, from experiments and numerical simulations of the last forty years, it is now clear that simple K41 scale invariance is broken and that a turbulent fluid displays multifractal scaling, which has been modelled by using various ad hoc probabilistic models, so far not deduced from the hydrodynamical equations. Recently, th...

The modern method of physics pedagogy promotes "active learning", wherein students are active participants in the class instead of being passive listeners. This approach includes interactive classes, peer discussion, interactive simulations, and project -based learning.Physics Teachers Training Program (PTTP) is a program to engage with motivated teachers from across India to introduce them to modern trends in physics teaching.  The program from January 9-13, 2023 will focus on discussing Quantum Mechanics at the MSc level with interactive classes and discussion.Physics Teacher Training Program (PTTP) is an extension for teachers of the highly successful Physics Training and Talent Search (PTTS) program (https://www.ptts.org.in/) for students.  Over the past seven years PTTS has organised several schools for undergraduate and postgraduate students following the active learning pedagogy.   This PTTP program is for motivated teachers teaching Quantum Mechanics at the MSc level.  The emph...

The modern method of physics pedagogy promotes "active learning", wherein students are active participants in the class instead of being passive listeners. This approach includes interactive classes, peer discussion, interactive simulations, and project -based learning.Physics Teachers Training Program (PTTP) is a program to engage with motivated teachers from across India to introduce them to modern trends in physics teaching.  The program from January 9-13, 2023 will focus on discussing Quantum Mechanics at the MSc level with interactive classes and discussion.Physics Teacher Training Program (PTTP) is an extension for teachers of the highly successful Physics Training and Talent Search (PTTS) program (https://www.ptts.org.in/) for students.  Over the past seven years PTTS has organised several schools for undergraduate and postgraduate students following the active learning pedagogy.   This PTTP program is for motivated teachers teaching Quantum Mechanics at the MSc level.  The emph...

This program will focus on several interconnected themes in modern probability theory which can broadly be brought under the umbrella of high dimensional probability. The particular themes that will be considered include (i) random matrices and random operators, (ii) geometric functional analysis and high dimensional convex geometry, (iii) point processes and interacting particle systems, and (iv) spin glasses and Gaussian free fields.There will be research talks by invited speakers. The program will also feature two mini-courses (each four one hour lectures) by Subhroshekhar Ghosh and Mark Rudelson. An Infosys-ICTS Ramanujan lecture series (five one hour lectures) will be given by Hugo Duminil-Copin and there will be a Distinguished Lecture by Ofer Zeitouni.ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.Please note that registr...

This program will focus on several interconnected themes in modern probability theory which can broadly be brought under the umbrella of high dimensional probability. The particular themes that will be considered include (i) random matrices and random operators, (ii) geometric functional analysis and high dimensional convex geometry, (iii) point processes and interacting particle systems, and (iv) spin glasses and Gaussian free fields.There will be research talks by invited speakers. The program will also feature two mini-courses (each four one hour lectures) by Subhroshekhar Ghosh and Mark Rudelson. An Infosys-ICTS Ramanujan lecture series (five one hour lectures) will be given by Hugo Duminil-Copin and there will be a Distinguished Lecture by Ofer Zeitouni.ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.Please note that registr...