Search Collections

Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutions of the GL(2,C) Yang-Mills equation on a compact Riemann surface X are precisely the polystable Higgs vector bundles on X of rank two and degree zero. Subsequently Simpson proved that irreducible solutions of the GL(r,C) Yang-Mills equation on a compact Kaehler manifold X are precisely the polystable Higgs vector bundles on X of rank r  and vanishing Chern classes.Hitchin showed that the moduli spaces of stable Higgs bundles give examples of hyper-Kaehler manifolds and provide examples of completely integrable systems. Simpson proved basic theorems on fundamental group of Kaehler manifolds using the identification of Higgs bundles with the solutions of the Yang-Mills equation.The moduli space of Higgs bundles is then full of rich geometric structures, but the most interesting part of the story is not just this but the different points of view that one can use for s...

Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutions of the GL(2,C) Yang-Mills equation on a compact Riemann surface X are precisely the polystable Higgs vector bundles on X of rank two and degree zero. Subsequently Simpson proved that irreducible solutions of the GL(r,C) Yang-Mills equation on a compact Kaehler manifold X are precisely the polystable Higgs vector bundles on X of rank r  and vanishing Chern classes.Hitchin showed that the moduli spaces of stable Higgs bundles give examples of hyper-Kaehler manifolds and provide examples of completely integrable systems. Simpson proved basic theorems on fundamental group of Kaehler manifolds using the identification of Higgs bundles with the solutions of the Yang-Mills equation.The moduli space of Higgs bundles is then full of rich geometric structures, but the most interesting part of the story is not just this but the different points of view that one can use for s...

The discovery of gravitational waves is a special moment for science. In celebration of this occasion and also to highlight the important contributions made by the Indian scientific community, ICTS-TIFR is organising a day event (10am-3pm) on Saturday, 13 Feb 2016 at its new campus in Hesaraghatta. This event titled "The Universe in a New Light" will consist of talks aimed at a general scientific audience, which will explain the origin of gravitational waves, how they were detected and what we are learning from their detection as well as the new directions that now open up. The speakers include Bala Iyer (Simons Visiting Professor at ICTS-TIFR and Chairperson, IndIGO consortium), C. V. Vishveshwara, P. Ajith (group leader in Astrophysical relativity, ICTS-TIFR), K.G. Arun (CMI), Tarun Souradeep (IUCAA, Pune; Spokesperson, Indigo consortium). They will convey how this discovery opens a completely new window into the universe entirely different from how we have seen the universe hitherto...

The discovery of gravitational waves is a special moment for science. In celebration of this occasion and also to highlight the important contributions made by the Indian scientific community, ICTS-TIFR is organising a day event (10am-3pm) on Saturday, 13 Feb 2016 at its new campus in Hesaraghatta. This event titled "The Universe in a New Light" will consist of talks aimed at a general scientific audience, which will explain the origin of gravitational waves, how they were detected and what we are learning from their detection as well as the new directions that now open up. The speakers include Bala Iyer (Simons Visiting Professor at ICTS-TIFR and Chairperson, IndIGO consortium), C. V. Vishveshwara, P. Ajith (group leader in Astrophysical relativity, ICTS-TIFR), K.G. Arun (CMI), Tarun Souradeep (IUCAA, Pune; Spokesperson, Indigo consortium). They will convey how this discovery opens a completely new window into the universe entirely different from how we have seen the universe hitherto...

This is an annual discussion meeting of the Indian statistical physics community which is attended by scientists, postdoctoral fellows, and graduate students, from across the country, working in the broad area of statistical physics.This meeting will cover all the 8 Topics covered at STATPHYS meetings, namely:General and mathematical aspects ​rigorous results, exact solutions, probability theory, stochastic field theory, phase transitions and critical phenomena at equilibrium, information theory, optimization, etc.  Out-of-equilibrium aspects driven 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 matter strongly correlated electrons, cold atoms, graphene, mesoscopic quantum phenomena, fractional quantum Hall effect, low dimensional quantum field theory, quantum phase transitions, quantum information, entanglement, Lüttinger...

This is an annual discussion meeting of the Indian statistical physics community which is attended by scientists, postdoctoral fellows, and graduate students, from across the country, working in the broad area of statistical physics.This meeting will cover all the 8 Topics covered at STATPHYS meetings, namely:General and mathematical aspects ​rigorous results, exact solutions, probability theory, stochastic field theory, phase transitions and critical phenomena at equilibrium, information theory, optimization, etc.  Out-of-equilibrium aspects driven 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 matter strongly correlated electrons, cold atoms, graphene, mesoscopic quantum phenomena, fractional quantum Hall effect, low dimensional quantum field theory, quantum phase transitions, quantum information, entanglement, Lüttinger...