Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
Aidan Patterson, Department of Pure Mathematics, University of Waterloo
"Thimm’s Trick and the Gelfand-Zeitlin System"
Thimm’s trick provides a method by which integrable systems constructed on the dual of a Lie algebra $\mathfrak{g}^{*}$ may be pulled back to integrable systems on a Hamiltonian G-space $(M,\omega, G, \Phi)$ using the moment map $\Phi$. The Gelfand-Zeitlin system represents “the best we can hope for” in terms of the integrable system that we may construct on $\mathfrak{g}^{*}$, and is itself a completely integrable system constructed on $\mathfrak{u}(n)^{*}$. In this talk we will prove Thimm’s trick, and construct the Gelfand-Zeitlin system. Time permitting, we will talk about some generalizations of Thimm’s trick to Hamiltonian G-spaces with Lu-moment maps.
MC 5413
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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