This program will be concerned with cooperative phenomena in biological groups; common structural features behind the phenomena will be highlighted. Specifically, the aim is to focus on aspects of group behaviour that cannot be understood from the functioning of its constituent units in isolation, aspects that demand group-level ‘emergent’ properties to be invoked. The formal part of program will consist of lectures and short tutorials.It is common in biology for more than one potential or actual unit of reproduction to form part of a larger whole that is composed of similar or dissimilar units. In many cases the whole displays group-level traits that are not seen in its constituents. One looks for explanations of a particular trait in terms of proximate causes, namely the underlying physics and chemistry, and separately in terms of the evolutionary history of the group. In general, within-group effects disfavour cooperation between units and between-group effects favour cooperation. G...
This program will be concerned with cooperative phenomena in biological groups; common structural features behind the phenomena will be highlighted. Specifically, the aim is to focus on aspects of group behaviour that cannot be understood from the functioning of its constituent units in isolation, aspects that demand group-level ‘emergent’ properties to be invoked. The formal part of program will consist of lectures and short tutorials.It is common in biology for more than one potential or actual unit of reproduction to form part of a larger whole that is composed of similar or dissimilar units. In many cases the whole displays group-level traits that are not seen in its constituents. One looks for explanations of a particular trait in terms of proximate causes, namely the underlying physics and chemistry, and separately in terms of the evolutionary history of the group. In general, within-group effects disfavour cooperation between units and between-group effects favour cooperation. G...
Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially string theory, channels through complex analytic geometry. Since 1950, it has remained one of the most active areas of research in mathematics. Some of the high points of research in this topic are: Yau's proof of Calabi's conjecture, Donaldson-Uhlenbeck-Yau's theorem that polystable vector bundles are precisely the solutions of the Hermitian-Einstein equation, Demailly's work of Kobayashi hyperbolicity.
Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially string theory, channels through complex analytic geometry. Since 1950, it has remained one of the most active areas of research in mathematics. Some of the high points of research in this topic are: Yau's proof of Calabi's conjecture, Donaldson-Uhlenbeck-Yau's theorem that polystable vector bundles are precisely the solutions of the Hermitian-Einstein equation, Demailly's work of Kobayashi hyperbolicity.
This 2-week program deals with the ancient origins of the eukaryotic compartmentalized cell plan. Surprisingly little is known about this key phase of the evolution of life on earth: eukaryotes began to diverge from bacteria during the global oxygenation event 2.5 billion years ago, but all living eukaryotes share a more recent common ancestor dating from about 1 billion years ago. Data from modern eukaryotic genomes, as well as exciting recent studies of rudimentary compartments in bacterial cells, might allow us to reconstruct the intervening 1.5 billion year period during which quintessential eukaryotic features emerged: the nucleus, compartmentalized organelles, the cytoskeletal machinery, and vesicle traffic.The program brings together two ingredients: (1) The cell biology and biophysics of intracellular compartments and vesicle traffic. (2) The evolution of key molecular players involved in generating and maintaining intracellular compartments. We will have pedagogical tutorials ...
This 2-week program deals with the ancient origins of the eukaryotic compartmentalized cell plan. Surprisingly little is known about this key phase of the evolution of life on earth: eukaryotes began to diverge from bacteria during the global oxygenation event 2.5 billion years ago, but all living eukaryotes share a more recent common ancestor dating from about 1 billion years ago. Data from modern eukaryotic genomes, as well as exciting recent studies of rudimentary compartments in bacterial cells, might allow us to reconstruct the intervening 1.5 billion year period during which quintessential eukaryotic features emerged: the nucleus, compartmentalized organelles, the cytoskeletal machinery, and vesicle traffic.The program brings together two ingredients: (1) The cell biology and biophysics of intracellular compartments and vesicle traffic. (2) The evolution of key molecular players involved in generating and maintaining intracellular compartments. We will have pedagogical tutorials ...
(School: 30 Jan - 5 Feb 2012 at JNCASR)(Symposium: 6 - 8 Feb 2012 at NCBS)It has become increasingly clear in recent years that the concept of a ‘material’ goes well beyond its origins in hard condensed matter or materials science. Functional materials, such as shape memory alloys, show complex multiscale patterns of elastic domain walls. Glassy and driven materials involve nonequilibrium states of matter that go beyond conventional thermodynamics. Granular materials show stress propagation along force chains, jamming and intriguing connections with the physics of amorphous solids. Living cells and tissues are active materials displaying unique mechanical properties in their steady state, and in their response to stresses.The presently distinct fields of condensed matter physics, materials science, biological physics, and statistical mechanics, have close foundational links, and James A Krumhansl (1919-2004) had long advocated dissolving intellectual phase separations between them. In ...
(School: 30 Jan - 5 Feb 2012 at JNCASR)(Symposium: 6 - 8 Feb 2012 at NCBS)It has become increasingly clear in recent years that the concept of a ‘material’ goes well beyond its origins in hard condensed matter or materials science. Functional materials, such as shape memory alloys, show complex multiscale patterns of elastic domain walls. Glassy and driven materials involve nonequilibrium states of matter that go beyond conventional thermodynamics. Granular materials show stress propagation along force chains, jamming and intriguing connections with the physics of amorphous solids. Living cells and tissues are active materials displaying unique mechanical properties in their steady state, and in their response to stresses.The presently distinct fields of condensed matter physics, materials science, biological physics, and statistical mechanics, have close foundational links, and James A Krumhansl (1919-2004) had long advocated dissolving intellectual phase separations between them. In ...
Random matrix theory has found usage in a wide variety of problems in mathematics and physics. The purpose of this meeting is to bring together a diverse group of mathematicians and physicists working in some of the many areas that connect with random matrix theory. The program will consist of a school with introductory lectures on random matrix theory in both mathematics and physics at a level accessible to graduate students and postdocs. It will be followed by a conference that will consist of a broader range of topics to highlight the latest research developments.
Random matrix theory has found usage in a wide variety of problems in mathematics and physics. The purpose of this meeting is to bring together a diverse group of mathematicians and physicists working in some of the many areas that connect with random matrix theory. The program will consist of a school with introductory lectures on random matrix theory in both mathematics and physics at a level accessible to graduate students and postdocs. It will be followed by a conference that will consist of a broader range of topics to highlight the latest research developments.
The financial markets worldwide have seen a tremendous growth in the last four decades. This was driven largely by financial innovation riding on complex pricing and hedging formulas provided by pioneering developments in mathematical finance. Mathematical finance also contributed strongly by providing quantitative models for investment in portfolio of assets and in managing diverse and complex market, credit and operational risks. Financial derivatives were introduced in Indian markets in 2000. Since then they have grown tremendously in trade volume. However, India currently lacks a critical mass of researchers and practitioners adept in further developing and implementing sophisticated ideas in mathematical finance.To facilitate growth of research in this area we are conducting a two week long school and a workshop on Mathematical Finance sponsored by ICTS where the top luminaries in the field of mathematical/computational finance and financial economics teach a short course to int...
The financial markets worldwide have seen a tremendous growth in the last four decades. This was driven largely by financial innovation riding on complex pricing and hedging formulas provided by pioneering developments in mathematical finance. Mathematical finance also contributed strongly by providing quantitative models for investment in portfolio of assets and in managing diverse and complex market, credit and operational risks. Financial derivatives were introduced in Indian markets in 2000. Since then they have grown tremendously in trade volume. However, India currently lacks a critical mass of researchers and practitioners adept in further developing and implementing sophisticated ideas in mathematical finance.To facilitate growth of research in this area we are conducting a two week long school and a workshop on Mathematical Finance sponsored by ICTS where the top luminaries in the field of mathematical/computational finance and financial economics teach a short course to int...
