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For a long time, the vortex equations and their associated self-dual field theories have provided a class of toy models in condensed matter theory and particle physics. But more recently, vortices (or their avatars such as stable pairs, holomorphic triples/chains, and quasi-maps) have also been attracting increasing interest from the mathematical community, proceeding from their very natural symplectic-geometric interpretation. In various contexts, a prominent role has been played by the moduli spaces of these objects -- they have been investigated from viewpoints such as geometric quantization, localization of supersymmetric gauge theories, geometric group theory and enumerative geometry. On the other hand, several constructions related to the notion of duality in QFT have also relied on vortices and their extensions. Our program is aimed at discussing recent research on vortex moduli (in their different guises, addressing their topology and geometry), as well as showcasing new develo...

For a long time, the vortex equations and their associated self-dual field theories have provided a class of toy models in condensed matter theory and particle physics. But more recently, vortices (or their avatars such as stable pairs, holomorphic triples/chains, and quasi-maps) have also been attracting increasing interest from the mathematical community, proceeding from their very natural symplectic-geometric interpretation. In various contexts, a prominent role has been played by the moduli spaces of these objects -- they have been investigated from viewpoints such as geometric quantization, localization of supersymmetric gauge theories, geometric group theory and enumerative geometry. On the other hand, several constructions related to the notion of duality in QFT have also relied on vortices and their extensions. Our program is aimed at discussing recent research on vortex moduli (in their different guises, addressing their topology and geometry), as well as showcasing new develo...

This is an annual discussion meeting of the Indian statistical physics community attended by scientists, postdoctoral fellows and graduate students, from across the country, working in the broad area of statistical physics.This meeting will be the 8th in the series and will cover all the 8 topics covered at STATPHYS meetings, namely -General and mathematical aspectsRigorous results, exact solutions, probability theory, stochastic field theory, phase transitions and critical phenomena at equilibrium, information theory, optimization, etc.Out-of-equilibrium aspectsDriven systems, transport theory, relaxation and response dynamics, random processes, anomalous diffusion, fluctuation theorems, large deviations, out-of-equilibrium phase transitions, etc.Quantum fluids and condensed matterStrongly correlated electrons, cold atoms, graphene, mesoscopic quantum phenomena, fractional quantum Hall effect, low dimensional quantum field theory, quantum phase transitions, quantum information, entang...

This is an annual discussion meeting of the Indian statistical physics community attended by scientists, postdoctoral fellows and graduate students, from across the country, working in the broad area of statistical physics.This meeting will be the 8th in the series and will cover all the 8 topics covered at STATPHYS meetings, namely -General and mathematical aspectsRigorous results, exact solutions, probability theory, stochastic field theory, phase transitions and critical phenomena at equilibrium, information theory, optimization, etc.Out-of-equilibrium aspectsDriven systems, transport theory, relaxation and response dynamics, random processes, anomalous diffusion, fluctuation theorems, large deviations, out-of-equilibrium phase transitions, etc.Quantum fluids and condensed matterStrongly correlated electrons, cold atoms, graphene, mesoscopic quantum phenomena, fractional quantum Hall effect, low dimensional quantum field theory, quantum phase transitions, quantum information, entang...

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...