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
Leave a Comment
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
Meet the Judges of our "Reach for the Stars" Astrophotography competition! Brenda Fitzsimons is photo editor of the @IrishTimes. To learn more about the competition and submit an entry see dias.ie/reachforthesta… #DIASdiscovers #astrophotography
Nice work 👏 twitter.com/dias_geophysic…
Following on from our post, highlighting inspiring #WomeninResearch and encouraging #MondayMotiviation to explore these subjects. @ChantalKobel presents Celticist, Nessa Ní Shéaghdha and her contributions to the discipline youtu.be/LGPLltjTBKw #DIASdiscovers
We have entered the last month to capture that amazing photo of the sky and win our Astrophotography competition. We are accepting photographs taken between 01 January 2020 and 31 March 2021. You can submit an entry up to Friday 02nd April 2021. More: dias.ie/reachforthesta…
Meet the Judges of our "Reach for the Stars" Astrophotography competition! @petertgallagher is Head of @DIASAstronomy & has spent the past two decades studying the Sun its impacts on the Earth. To learn more and submit an entry see dias.ie/reachforthesta… #DIASdiscovers
She has over 15 years’ experience working in PR and communications and has wide-ranging experience of providing strategic communications support to organisations. Learn more about the competition and submit an entry 👉dias.ie/reachforthesta… #DIASdiscovers #astrophotography
Meet the Judges of our "Reach for the Stars" Astrophotography competition! @MartinaPQuinn is the Founder & Managing Director of @helloalicepr.
Want to learn more about what's happening on Mars? Check out our public lecture from November delivered Dr John Clinton and titled MarsQuakes! (5/5) youtu.be/_Lp0oLJ8Ahs
And then this Thursday @NASAMars Perseverance rover reaches Mars, which will try to land in a near equatorial crater called Jezero. Here you can see a possible route around the crater. (4/5)