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The geometry and physics of Hitchin systems
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Séminaire de Physique Mathématique Seminar (29 sept. 2020 / Sept. 29, 2020)
Steven Rayan (University of Saskatchewan, Canada)
The geometry and physics of Hitchin systems (vidéoconférence)
Résumé / Abstract :
The moduli space of stable Higgs bundles on a Riemann surface, known as the Hitchin system, arises as a space of gauge-equivalent solutions to dimensionally-reduced self-dual Yang-Mills equations. This moduli space turns out to be the phase space for a non-trivial completely integrable Hamiltonian system, is a noncompact Calabi-Yau manifold, and has a mirror symmetry that is intertwined with Langlands duality. In this talk, I will review a number of geometric features of the Hitchin system that have been discovered over the past 30 years. I will conclude by speculating on connections between Higgs bundles and condensed-matter physics.
Steven Rayan (University of Saskatchewan, Canada)
The geometry and physics of Hitchin systems (vidéoconférence)
Résumé / Abstract :
The moduli space of stable Higgs bundles on a Riemann surface, known as the Hitchin system, arises as a space of gauge-equivalent solutions to dimensionally-reduced self-dual Yang-Mills equations. This moduli space turns out to be the phase space for a non-trivial completely integrable Hamiltonian system, is a noncompact Calabi-Yau manifold, and has a mirror symmetry that is intertwined with Langlands duality. In this talk, I will review a number of geometric features of the Hitchin system that have been discovered over the past 30 years. I will conclude by speculating on connections between Higgs bundles and condensed-matter physics.
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