Status | Confirmed |
Seminar Series | WORK-CONF |
Subjects | math-ph |
Date | Wednesday 16 August 2017 |
Time | 16:00 |
Institute | LPTENS |
Seminar Room | Room Conf. IV |
Speaker's Last Name | Ruijsenaars |
Speaker's First Name | Simon |
Speaker's Email Address | |
Speaker's Institution | University of Leeds |
Title | Integrable systems of Calogero-Moser type |
Abstract | Systems of Calogero-Moser type are integrable N-particle systems associated with root systems. They are connected to a great many subfields of pure and applied mathematics, and also find applications in various areas of physics. In this lecture we aim to survey this class of systems associated with $A_{N-1}$ and $BC_N$. We mostly deal with the highest level in a hierarchy we shall specify. This top level can be characterised by the catchwords `quantum, `elliptic and `relativistic. The search for joint eigenfunctions of the $N$ commuting operators has led to a novel and very promising tool, namely so-called kernel functions. We shall also discuss this notion in some detail. |
arXiv Preprint Number | |
Comments | Workshop on "Exceptional and ubiquitous Painlevé equations for Physics". Please see webpage https://indico.in2p3.fr/event/14720/ |
Attachments |
To Generate a poster for this seminar : [ Postscript | PDF ]
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