Working Group in Hamiltonian Systems

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A Lax representation for the Pentagram map II

by Fedor Soloviev | University of Toronto
Time: 15:10  (Friday, Feb. 18, 2011)
Location: BA6180, Bahen Center, 40 St. George St.
Abstract:
This is a continuation of the previous talk. We discuss how to prove the integrability of the Pentagram map for closed polygons.

Dates in this series

· Friday, Oct. 22, 2010: Properties of the Pentagram map (Fedor Soloviev)
· Friday, Oct. 29, 2010: Vortices on surfaces (Alex Castro)
· Friday, Nov. 19, 2010: Vortices on Surfaces II: vortex motion on the sphere (Alex Castro)
· Friday, Nov. 26, 2010: On Krichever-Phong's universal formula (Fedor Soloviev)
· Friday, Dec. 03, 2010: Fluid dynamics and KdV as the Euler equations on Lie groups (Boris Khesin)
· Friday, Jan. 28, 2011: Nahm's Equations, Monopoles, and Complex Coadjoint Orbits (Jonathan Fisher)
· Friday, Feb. 11, 2011: A Lax representation for the Pentagram map (Fedor Soloviev)
· Friday, Feb. 18, 2011: A Lax representation for the Pentagram map II (Fedor Soloviev)
· Friday, Mar. 04, 2011: Loop groups and Dirac structures (Marco Gualtieri)
· Friday, Mar. 18, 2011: Hamiltonian description of symplectic fluids (Boris Khesin)
· Friday, Sep. 23, 2011: Pseudo-Riemannian geodesics and billiards (Boris Khesin)
· Friday, Sep. 30, 2011: Billiards, Cayley curves, and XYZ model (Fedor Soloviev)
· Friday, Oct. 14, 2011: Relativistic quadrics: How to construct Jacobi coordinates in pseudo-Euclidean spaces (Feride Tiglay)
· Friday, Oct. 21, 2011: Periodic trajectories in pseudo-Euclidian billiards (Feride Tiglay)
· Friday, Nov. 18, 2011: Periodic trajectories in pseudo-Euclidian billiards (Feride Tiglay)
· Friday, Sep. 14, 2012: Riemannian metrics on diffeomorphism groups descending to density space (Klas Modin)
· Friday, Sep. 21, 2012: Vortex dynamics in the Gross-Pitaevskii equation (Robert Jerrard)
· Friday, Sep. 28, 2012: Steady solutions of the Euler equation and the Hodge decomposition (Boris Khesin)
· Friday, Oct. 12, 2012: Integrability of higher pentagram maps (Fedor Soloviev)
· Friday, Nov. 16, 2012: Quadratic algebras related to elliptic curves (Fedor Soloviev)
· Friday, Nov. 23, 2012: Amari-Chentsov connections on diffeomorphism groups and their integrable geodesic flows (Gerard Misiolek)
· Friday, Nov. 30, 2012: Feigin-Odesskii Poisson structures and the Hitchin system (Brent Pym)
· Friday, Feb. 01, 2013: Approximation of infinite-dimensional Lie algebras (Seyed Mehdi Mousavi)