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21
Jan

The Geometry and Physics of Hitchin Systems

Conference/Seminar

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.

3:30 pm - 4:30 pm | Online/Virtual |
27
Jan

USU Data Science Club Spring 2021 Welcome Meeting

Meeting

Join us as we get to know our club members, introduce our Spring 2021 Speaker Series, discuss the data science process, and brainstorm activities for this semester!

4:30 pm - 5:30 pm | Online/Virtual |
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