The Geometry and Physics of Hitchin Systems

Steven Rayan Associate Professor, Department of Mathematics & Statistics at the University of Saskatchewan
Director, Centre for Quantum Topology and Its Applications

Abstract: The moduli space of stable Higgs bundles on a Riemann surface, known as the Hitchin system, arises as a space of gauge-equivalent, dimensionally-reduced solutions to the self-dual Yang-Mills equations. This moduli space turns out to be a completely integrable Hamiltonian system; a noncompact Calabi-Yau manifold; and the natural setting for a mirror symmetry that is intertwined with Langlands duality. In this talk, I will introduce the Hitchin system from multiple points of view and sketch the interesting algebraic and geometric features that have been discovered over the past 30 years. I will conclude by speculating on connections between Higgs bundles and condensed-matter physics.

When

Thursday, January 21, 2021 | 3:30 pm - 4:30 pm

Where

Online/Virtual
   Room: Zoom

Event Type

Conference/Seminar

Department

Mathematics and Statistics

Target Audience

Students,Faculty,Staff

Website

https://usu-edu.zoom.us/j/81887637991?pwd=Tmh3SERJWGIrWkRRZGMvTyswaU5uUT09

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Event Contact

Name: Matt Young
Phone: (435) 797-0948
Email: matthew.young@usu.edu

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