Title: Poisson-Lie Analogues of Spin Sutherland Model
Speaker: Dr. Feher Laszlo (Wigner Research Centre, Budapest)
Abstract: We present generalizations of the well-known trigonometric spin Sutherland models, which were derived by Hamiltonian reduction of ‘free motion’ on cotangent bundles of compact simple Lie groups based on the conjugation action. Our models result by reducing the corresponding Heisenberg doubles with the aid of a Poisson-Lie analogue of the conjugation action. We explain that the solutions of the reduced equations of motion emerge from geodesics on the compact Lie group and possess many first integrals. We also show that the reduced main Hamiltonians’ reproduce the spin Sutherland model by keeping only their leading terms. Finally, if time permits, we shall briefly outline a bi-Hamiltonian framework for these systems that we recently found in the U(n) case.
Time: Wednesday, 4 September 2019, 2:30pm
Location: Lecture Room, 1st Floor, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4
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Last Updated: 27th August 2019 by George Rogers
Wednesday 4th September : STP Seminar – Poisson-Lie Analogues of Spin Sutherland Model
Title: Poisson-Lie Analogues of Spin Sutherland Model
Speaker: Dr. Feher Laszlo (Wigner Research Centre, Budapest)
Abstract: We present generalizations of the well-known trigonometric spin Sutherland models, which were derived by Hamiltonian reduction of ‘free motion’ on cotangent bundles of compact simple Lie groups based on the conjugation action. Our models result by reducing the corresponding Heisenberg doubles with the aid of a Poisson-Lie analogue of the conjugation action. We explain that the solutions of the reduced equations of motion emerge from geodesics on the compact Lie group and possess many first integrals. We also show that the reduced main Hamiltonians’ reproduce the spin Sutherland model by keeping only their leading terms. Finally, if time permits, we shall briefly outline a bi-Hamiltonian framework for these systems that we recently found in the U(n) case.
Time: Wednesday, 4 September 2019, 2:30pm
Location: Lecture Room, 1st Floor, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4
Category: Regular seminars, School of Theoretical Physics News & Events
Big thank you to @MartinaPQuinn of @helloalicepr for moderating the discussion, and of course to our panel @NeasaMcG @CormacORafferty and @laoneill111
@CormacORafferty "to cut yourself off from fundamental research means you could miss out on some of the biggest ideas"
@laoneill "it's our job as researchers to keep reminding governments how important basic research is" "For Dev basic research being carried out in Ireland was a badge of pride"
@NeasaMcG Schrödinger's work in causality was not well received by the religious authorities at the time At the same time DIAS did have Catholic priests working on research projects in the early days, so there was not the conflict you might think between science and religion
@laoneill111 Schrödinger was very popular in social circles in Dublin, a bit of a renaissance man
@CormacORafferty Schrödinger was gifted at explaining difficult concepts
@CormacORafferty on how unsuccessful work, in Schrödinger's case, unified field theory, is just as important part of science. And no one has managed to crack it yet! And not forgetting the cat
@laoneill111 how Schrödinger's book inspired scientists to change fields and result in the finding of the double helix.
@NeasaMcG explaining how DIAS came about and how Schrödinger was attracted to Ireland #DIASdiscovers
Panel Discussion getting underway! @laoneill111 @CormacORafferty @NeasaMcG @MartinaPQuinn
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