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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...

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...