Announcements
Upcoming events
- The Bethe Forum "Geometries and Special Functions for Physics and Mathematics" will take place on March 20 - 24, 2023. The organizers are C. Duhr, H. Gangl, A. Klemm and F. Loebbert.
- Bethe Colloquium, March 23, 2023, by Vladimir Fock (Strasbourg University)
- On March 27-28, 2023, a symposium in honor of Herbi Dreiner on the occasion of his 60th birthday will take place, the Herbi-Fest: Pursuing Physics Beyond the Standard Model, organized by H. Haber, S. Heinemeyer and G. Weiglein.
-
Further information will be given as soon as possible.
Bethe Forum "Geometries and Special Functions for Physics and Mathematics"
Further information and the registration form are available on the homepage.
We invite you to the next Bethe Colloquium on Thursday, March 23, at 4:15 p.m. Please note the unusual place: the Colloquium will be held in the Kleiner Hörsaal Mathematik, 1st floor, Wegelerstr. 10, 53115 Bonn.
- Vladimir Fock (Strasbourg University)
- Cluster integrable systems and the tame symbol
Abstract: Cluster integrable systems discovered by Goncharov and Kenyon is an approach to a large class of integrable systems starting with the Poncelet porism discovered 200 years ago to modern spinning tops, Toda lattices and in its quantum versions, which are not yet very well understood, lattice models, Hofstadter's butterfly and many others.
The cluster approach to those systems interprets their phase spaces either as the space of configurations of flags in an infinite dimensional space or as the space of pairs (spectral curve, line bundle on it). This dual approach allows to study the systems in detail and of course to find their classical solutions.
However, the quantization of these systems does not go as smoothly as its classical part. We will suggest a quasi-classical approach to those systems using a tool borrowed from number theory namely the tame symbol. In its simplest incarnation, tame symbol is a multiplicative analogue of the residue. We use it to formulate the Bohr-Sommerfeld condition on the Lagrangian subvarieties for the integrable systems, thus giving the quasi-classical spectrum with the wave function expressed in terms of the dilogarithm.
If time permits we will speak about some elementary applications of the tame symbol.
Online participation is possible. For the Zoom link please contact theory@physik.uni-bonn.de. - This Bethe Colloquium is part of the program of the Bethe Forum "Geometries and Special Functions for Physics and Mathematics", March 20-24, in the Bethe Center for Theoretical Physics.Herbi-Fest: Pursuing Physics Beyond the Standard Model"
Further information and the registration form are available on the homepage.
Further events will be announced as soon as possible.