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Junior Geometry Seminar

Integrable systems and \(S^1\) symmetries

Joseph Palmer, Rutgers University

Location:  Hill 705
Date & time: Thursday, 08 March 2018 at 10:30AM - 11:30AM

Abstract:  Roughly speaking, an integrable system is a physical system with the maximal number of independent symmetries. The results of Atiyah, Guillemin-Sternberg, and Delzant from the 1980s classify so-called toric integrable systems, which are 2n-dimensional systems which admit a Hamiltonian n-torus action, and in 2011 this classification was extended in dimension 4 by Pelayo-Vu Ngoc to a class of systems known as semitoric. Semitoric systems are four dimensional integrable systems which admit a circle action instead of a 2-torus action, and have been the subject of a large amount of recent work. In this talk we give an introduction to integrable systems, with special focus on toric systems, and discuss new developments and conjectures related to semitoric systems. 

[DIFFERENT TIME --- 10.30-11.30am]

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Department of Mathematics

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Rutgers University
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