Both integrability and quantization are central themes in modern mathematical physics and thus form a common meeting ground for the research of mathematicians and physicists. The goal of the conference was to bring together reknowned mathematicians and physicists working on a selected number of topics in these fields to stimulate cooperation and to offer young scientists from both sides a good interdisciplinary view on recent progress in these fields. These topics were:
1) Quantum groups, their geometry and representation theory
2) Integrable models in string and field theories and their quantizations
3) Infinite dimensional groups and algebras in integrability and
4) The role of complex analytic geometry in both themes
There were 36 participants from 12 different countries that attended the week program with a substantial group of young researchers. An additional group of people joined the program on Friday, as the workshop was combined that day with the colloquium of the cluster Geometry and Quantum Theory.
The program consisted first of all of 15 keynote addresses of 45 minutes each followed by lively discussions. Each day they were centered around a joint aspect.
Besides this part of the program, there was also the possibility for young researchers to give a short presentation of their work and ample use of this opportunity was made: all reserved time slots were fully booked.
The time reserved for the discussion sessions was mainly spent on discussions in small groups and working on joint papers, but spontaneous talks also occurred. Participants showed no interest in presenting their work in poster sessions.
Besides that the participants told us the conference was a source of inspiration for new ideas and yielded various new cooperations, also concrete plans were developed during the conference for the set-up of an European Mundus program with Russia.
In the mean time A.G.Helminck and V.Roubtsov have obtained the permission from the Journal of Geometry and Physics to be the editors of a special issue devoted to this conference.
The conference was financially made possible by the support of the following institutions or organizations:
1) The Lorentz Center (NWO)
2) The Journal Compositio
3) The cluster “Geometry and Quantum Theory” (GQT)
4) The Mathematical Research Institute (MRI)
Finally we like to thank the staff of the Lorentz Center, in particular Henriette Jensenius, Mieke Schutte and Pauline Vincenten for their guidance, help and support at the whole process of organizing this workshop. All participants were impressed by the pleasant ambiance at the Center and the excellent support from its staff.
Loek Helminck (North Carolina State University)
Gerard Helminck (University of Amsterdam)