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Cloud clusters cover a wide range of scales: from the turbulent cloud cluster that we observe in the sky with our naked eyes to the gigantic organized cloud bands such as Monsoons, The Inter-Tropical Convergence Zone (ITCZ), Cyclones,  the Madden-Julian oscillation (MJO) etc. that satellites observe. On these different scales clouds either aggregate through their own local cloud-circulation feedbacks or sometimes they are seen to ride on top of vortices linked to waves and instabilities. Although the monsoon dynamics has been studied for a long time, how monsoon convection organizes on a variety of time-scales is an unresolved enigma. This program will be organized around this unresolved scientific direction.Topics covered will include:Geophysical fluid dynamics of moist flows: Intro to GFD, Shallow Water equations, Two-layer models, Moist dynamics on equatorial beta plane, Waves and Instabilities, Idealised modeling, parameterisation of precipitation in GFD models.Physics of convectiv...

The proposed program will discuss climate dynamics and networks, with special attention to climate networks, a network paradigm for the organization and analysis of climate data. We hope to bring together researchers on both aspects.  A good fraction of talks will be talks so that researchers on each aspect will be able to familiarize themselves with the other. We will  involve a good fraction of younger researchers, so that activity in this area, which has important applications can grow in the country.The lectures will  focus on the methods and characterizers required for the analysis of climate systems, both from the point of view of analysis and predictions. This involves the study of climate dynamical systems and bifurcation behavior, network characterizers, as well as percolation based measures. We hope to have short pedagogic modules which will introduce each of these separately, and also  discuss their implications for phenomena like the El Nino and La Nina phenomena, the India...

Even after one hundred years, the circle method remains one of the most important tools in the analytic theory of numbers. Over the years the method has gone through several modifications, resulting in novel applications. Originally introduced to study the partition function and the Waring problem, the circle method quickly became the most powerful analytic tool to count rational points on varieties. It was also adopted to study problems in the prime number theory. Recently the circle method has been extended to function fields and general number fields, and has been put on a broader adelic and geometric setting. We have also seen some striking recent applications in areas such as analytic theory of L-functions, ergodic theory, and the Langlands program. This workshop will present accessible short lecture series on the circle method and related topics, from experts in the field, aimed at senior graduate students and post-docs. The main aim will be to introduce the audience to various f...

Integrable systems share the properties of being exactly solvable in some sense and of having many conserved quantities. Investigating their behavior is key to understanding the wealth of non-integrable models falling in the same universality class. While the first examples of integrable systems were continuous, a large array of discrete integrable systems have been discovered over the last 60 years. These discrete systems hail from various branches of theoretical physics (statistical physics, string theory) and mathematics (combinatorics, representation theory, geometry, probability). They all possess remarkable algebraic structures.This program proposes to explore several interrelated aspects of discrete integrable systems. We will focus on three aspects that are currently active topics of research:1. Integrable difference equations, their soliton solutions and the rich structure of their singularities. Ultradiscretization of these equations, yielding cellular automata (e.g. box-ball...

Gravitation and cosmology allow us to probe the nature of the universe at its largest scales and gain insights into the underlying structure and dynamics of the universe. New observational techniques in the field of cosmology have allowed us to estimate various cosmological parameters with remarkable precision. Recent advancements in observational techniques have revolutionized our understanding of the universe. Some of these techniques include Cosmic Microwave Background (CMB) Observations, Large-Scale Structure Surveys, Supernova Cosmology, Baryon Acoustic Oscillations (BAO), Gravitational Lensing, Redshift Surveys etc. These techniques have collectively allowed cosmologists to estimate parameters such as the Hubble constant, the density of dark matter and dark energy, the curvature of space and the composition of the universe with remarkable accuracy.The third Indian Association for General Relativity and Gravitation (IAGRG) school on Gravitation and Cosmology aims to train young re...

All physical phenomena in areas such as physics, engineering, finance, and biology are inherently nonlinear and therefore described via models of nonlinear partial differential equations (PDEs). The Navier-Stokes and the Euler equations are thought to be the fundamental set of equations governing the motion of fluid flow. Recently, the research area related to fluid flow equations  has witnessed multiple seminal new results and groundbreaking techniques. The main aim of the program is to bring in leading researchers from the field of fluid mechanics for an active discussion on these new techniques and exchange of ideas. In his celebrated 1949 paper on statistical hydrodynamics Lars Onsager conjectured that the threshold regularity for the validity of energy conservation of weak solutions to Euler equations is the exponent 1/3. In particular he announced that for larger Hölder exponents any weak solution would conserve the energy, whereas for any smaller exponent there are solutions whi...

Chromatin is a long polymer in which the genetic code is intricately arranged in 4D (space and time). Beyond the DNA sequence, the epigenetic state and 3D organization of chromatin dictate the gene regulation in a spatio-temporal manner.The study of chromatin is at a juncture where recent advances in genomics, high-resolution microscopy, and single-cell level measurements have made it possible to understand the underlying principles behind this complex organization and gene regulation.Integrating this diverse information into a coherent understanding requires multi-disciplinary expertise, and this meeting aims to facilitate such cross-talks between specialists from different fields. Discussions during the meeting on novel experimental observations and phenomenology, along with physical principles and data-driven methods, are expected to benefit the diverse community interested in chromatin.The first week will be a pedagogical workshop that will cover diverse experimental and theoretica...

This advanced level school is the fifteenth in the series and will be organized jointly by the International Centre for Theoretical Sciences (ICTS) and the Raman Research Institute (RRI).This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in statistical physics at the frontline of current research. It is intended for Ph.D. students, post-doctoral fellows and interested faculty members at the college and university level. The following courses will be offered.1) Bruno Loureiro - Statistical Physics of Machine Learning (Online)2) Deepak Dhar - Introduction to Percolation Theory3) Massimiliano Esposito - Macroscopic Stochastic Thermodynamics4) Gregory Falkovich - Information Theory5) Prabha Mandayam - Bell's Inequalities and Quantum Entanglement6) P. K. Mohanty - Exact steady states: Matrix product ansatz and other methodsEligibility: Ph.D. students, postdoctoral fellows, and faculty members who are working in the related field.ICTS is committe...

The study of zero mean curvature surfaces in $\mathbb{R}^3$ (minimal surfaces) has witnessed significant progress since its initiation over 200 years ago. However, the topics of maximal surfaces (ZMC surfaces) in the Lorentz-Minkowski space and ZMC surfaces in hyperbolic spaces,  are relatively recent. The proposed meeting on Zero Mean Curvature surfaces aims to bring together leading experts in the areas  to discuss a wide range of topics- new challenges, problem-solving methodologies. Early-career researchers will have the opportunity to engage with the most significant and promising problems within these domains. This discussion meeting is intended to inspire faculty, students, and postdocs to delve into this vibrant and evolving field of research.During the five-day discussion meeting, the final day will be reserved for open discussions to encourage potential collaborations. There will be mini-courses by subject experts of introductory nature for younger researchers, who are  not e...

In recent years, the AdS/CFT correspondence has led to a paradigm shift in the quest for a theory of quantum gravity. In this new approach, spacetime and gravity are viewed not as fundamental, but as emergent descriptions of the dynamics of quantum information in an underlying, microscopic quantum system. The resulting theory has led to a novel confluence between two different subjects, namely general relativity and quantum information theory. This confluence has enriched both the subjects. On the one hand, tools from quantum information theory such as quantum error correction have led to ground-breaking progress on long-standing problems in quantum gravity such as the black hole information paradox. On the other hand, black hole physics has led to fundamental insights on information scrambling in chaotic quantum systems.Quantum information theory has also provided a new window into the rich world of quantum field theories and many-body dynamics. Fundamental inequalities governing the ...

This meeting focuses on the recent advances taking place in our understanding of kagome metals with a particular emphasis on following sub-fields:1. Intertwined Density-wave and Superconducting order2. Leading and subleading nematic fluctuations3. Itinerant vs Localized Magnetism and Electronic instabilitiesThe subtle interdependence of Fermiology, interactions, and a multi-sublattice unit cell lies at the heart of the intriguing scenario of correlated electrons in a kagome metal. While typical metallic parent states feature Fermi surface instabilities dictated by screened Coulomb interactions recast by a Hubbard coupling U , the sublattice interference in kagome metals naturally render longer-randed coupling pivotal in understanding the effective interactions of electronic states at and around the Fermi level. Together with a likewise intriguing characteristic phonon spectrum and possibly significant electron-phonon coupling, kagome metals present themselves as a particularly rich cor...

The area of geometric group theory (GGT) has seen explosive growth in recent times, thanks to a series of important breakthroughs and its connections to diverse areas like geometry, topology, dynamics, analysis, and probability.This collaborative workshop has two aims: 1) to increase exposure to active areas in geometric group theory for mathematicians in India, and 2) strengthening the existing research network. The first week consists of minicourses by eminent researchers known for their exposition, while the second week will follow a “research in groups” format with each group being led by a minicourse speaker.   Eligibility criteria Week 1: PhD students and researchers interested in GGT related areasWeek 2: advanced PhD students and early career mathematicians actively working in GGT related areasMinicourse speakers:Indira Chatterji (Université Côte d'Azur à Nice) - Property(T), median spaces and CAT(0) cubical complexesInhyeok Choi (KIAS) - Growth of (sub)groups with hyperbolicity...