The realistic description of materials with strong electron-electron interactions is one of the challenges of modern condensed matter physics. Such a realistic description on one hand requires non-perturbative many body approaches, and on the other hand requires model Hamiltonian with material specific details offered by density functional theory (DFT). Mastering these novel techniques requires a wide background, ranging from DFT to model building and non-perturbative many body approaches such as Quantum Monte Carlo. During the last few years a major breakthrough came with the development of the DFT+Dynamical Mean Field Theory (DFT+DMFT) method. In this approach, conventional ab-initio schemes based on DFT are combined with a modern many-body approach, the dynamical mean-field theory (DMFT). In the DMFT method the full many body problem of solid state physics is mapped onto a quantum impurity model related by a self-consistency condition and the resulting impurity model is solved using...
The realistic description of materials with strong electron-electron interactions is one of the challenges of modern condensed matter physics. Such a realistic description on one hand requires non-perturbative many body approaches, and on the other hand requires model Hamiltonian with material specific details offered by density functional theory (DFT). Mastering these novel techniques requires a wide background, ranging from DFT to model building and non-perturbative many body approaches such as Quantum Monte Carlo. During the last few years a major breakthrough came with the development of the DFT+Dynamical Mean Field Theory (DFT+DMFT) method. In this approach, conventional ab-initio schemes based on DFT are combined with a modern many-body approach, the dynamical mean-field theory (DMFT). In the DMFT method the full many body problem of solid state physics is mapped onto a quantum impurity model related by a self-consistency condition and the resulting impurity model is solved using...
A worldwide network of detectors are currently involved in an exciting experimental effort for the first direct detection of gravitational waves (GWs). There is also an ongoing proposal to build a GW detector, called LIGO-India, in India with significant international collaboration. Not only that GW astronomy will open up a fundamentally new observational window to the Universe, the experimental effort for GW detection has been driving precision measurement science for the last few decades.The ICTS Winter School in Experimental GW Physics is meant to train students, young scientists and engineers on the instrumental science and technology for GW astronomy. The school will feature an intense series of lectures and hands-on sessions covering a number of topics including interferometry, highly stabilized lasers, control systems, etc.
A worldwide network of detectors are currently involved in an exciting experimental effort for the first direct detection of gravitational waves (GWs). There is also an ongoing proposal to build a GW detector, called LIGO-India, in India with significant international collaboration. Not only that GW astronomy will open up a fundamentally new observational window to the Universe, the experimental effort for GW detection has been driving precision measurement science for the last few decades.The ICTS Winter School in Experimental GW Physics is meant to train students, young scientists and engineers on the instrumental science and technology for GW astronomy. The school will feature an intense series of lectures and hands-on sessions covering a number of topics including interferometry, highly stabilized lasers, control systems, etc.
This program is centered around Knot theory and its applications to various disciplines of mathematics and other areas of science. Due to its applications in other disciplines, Knot theory has acquired an important place in terms of research globally. However, this area has not been so strongly studied in India. The aim of this program is to provide exposure of this subject to young researchers in India and enthuse them to work on knot theory.There will be two components of the program, an advanced school (December 10-15) followed by a discussion meeting (Dec 16-20).The advanced school is mainly for graduate students and young researchers who are either working or wanting to work in knot theory and related areas. It will be divided into six series of three lectures (one hour each) along with two tutorials on each topic adding up to 18 lecture hours and 12 tutorial hours. The topics include: Combinatorial Knot theory, Knot Quandles, Knot homologies, Surface knots, Knot theory and 3-mani...
This program is centered around Knot theory and its applications to various disciplines of mathematics and other areas of science. Due to its applications in other disciplines, Knot theory has acquired an important place in terms of research globally. However, this area has not been so strongly studied in India. The aim of this program is to provide exposure of this subject to young researchers in India and enthuse them to work on knot theory.There will be two components of the program, an advanced school (December 10-15) followed by a discussion meeting (Dec 16-20).The advanced school is mainly for graduate students and young researchers who are either working or wanting to work in knot theory and related areas. It will be divided into six series of three lectures (one hour each) along with two tutorials on each topic adding up to 18 lecture hours and 12 tutorial hours. The topics include: Combinatorial Knot theory, Knot Quandles, Knot homologies, Surface knots, Knot theory and 3-mani...
Biology is undergoing a revolution. Advances in experimental techniques are providing data of unprecedented quality and detail on the mechanisms that operate in living systems, at scales ranging from molecules and molecular networks, to organisms, populations and ecosystems. It is clear that new theoretical and mathematical approaches are required if we are to learn from this flood of data. In response to this need, a large number of researchers from mathematics, physics and engineering are growing interested in biological problems. However, biology presents high barriers to entry: the sheer breadth of biological phenomenology, the rapid progress of the field, and a language of scientific discourse often inaccessible to the outsider. The ICTP-ICTS Winter School in Quantitative Systems Biology 2013, targeted at participants with quantitative backgrounds, is intended to help overcome these barriers.Both ICTP and ICTS have a successful track record of providing researchers access to the f...
Biology is undergoing a revolution. Advances in experimental techniques are providing data of unprecedented quality and detail on the mechanisms that operate in living systems, at scales ranging from molecules and molecular networks, to organisms, populations and ecosystems. It is clear that new theoretical and mathematical approaches are required if we are to learn from this flood of data. In response to this need, a large number of researchers from mathematics, physics and engineering are growing interested in biological problems. However, biology presents high barriers to entry: the sheer breadth of biological phenomenology, the rapid progress of the field, and a language of scientific discourse often inaccessible to the outsider. The ICTP-ICTS Winter School in Quantitative Systems Biology 2013, targeted at participants with quantitative backgrounds, is intended to help overcome these barriers.Both ICTP and ICTS have a successful track record of providing researchers access to the f...
Particle-laden turbulent flows are ubiquitous in nature, laboratories, and modern industry: examples include the transport of aerosols and pollutants in the atmosphere, the advection of rain drops in clouds, the movement of swarms of micro-organisms like phytoplankton in the oceans, and fluid flows with colloids or polymer additives in laboratories or industries. It behooves us, therefore, to develop a detailed understanding of the physics of particle transport in turbulent flows. Research in this area has been growing apace on all fronts - experimental, computational, and theoretical. In particular, the transport, coalescence, and coagulation of particles, advected by a turbulent flows, has attracted the attention of several groups. In addition to the complexity that arises from the turbulence of advecting flows, we have to confront the multiscale nature of particle-fluid interactions, for particle sizes can range from nanometre to centimetre scales; and these particles can often cha...
Particle-laden turbulent flows are ubiquitous in nature, laboratories, and modern industry: examples include the transport of aerosols and pollutants in the atmosphere, the advection of rain drops in clouds, the movement of swarms of micro-organisms like phytoplankton in the oceans, and fluid flows with colloids or polymer additives in laboratories or industries. It behooves us, therefore, to develop a detailed understanding of the physics of particle transport in turbulent flows. Research in this area has been growing apace on all fronts - experimental, computational, and theoretical. In particular, the transport, coalescence, and coagulation of particles, advected by a turbulent flows, has attracted the attention of several groups. In addition to the complexity that arises from the turbulence of advecting flows, we have to confront the multiscale nature of particle-fluid interactions, for particle sizes can range from nanometre to centimetre scales; and these particles can often cha...
This meeting which is ICTS-IISc joint program will discuss recent progress on the black-hole information paradox, and the question of whether AdS/CFT can provide a useful description of the interior of black holes.Long ago, Hawking found that the thermal radiation from black-holes appeared to be in conflict with the unitarity of quantum mechanics. It was believed, especially after the advent of the AdS/CFT correspondence, that Hawking's calculation was not precise enough to provide a paradox, and that small effects in the CFT would reconcile Hawking radiation with unitarity.Recently, there have been several claims, starting with the work of Mathur, and followed by the work of Marolf, Polchinski and others that this is impossible; rather unitarity implies that quantum effects modify the structure of the horizon of the black-hole.This meeting will take stock of the claims and counter-claims in the literature. Broadly speaking, the following positions have been articulated:1) quantum effe...
This meeting which is ICTS-IISc joint program will discuss recent progress on the black-hole information paradox, and the question of whether AdS/CFT can provide a useful description of the interior of black holes.Long ago, Hawking found that the thermal radiation from black-holes appeared to be in conflict with the unitarity of quantum mechanics. It was believed, especially after the advent of the AdS/CFT correspondence, that Hawking's calculation was not precise enough to provide a paradox, and that small effects in the CFT would reconcile Hawking radiation with unitarity.Recently, there have been several claims, starting with the work of Mathur, and followed by the work of Marolf, Polchinski and others that this is impossible; rather unitarity implies that quantum effects modify the structure of the horizon of the black-hole.This meeting will take stock of the claims and counter-claims in the literature. Broadly speaking, the following positions have been articulated:1) quantum effe...
