Geometry and Topology of Caustics


19-30 June, 2006
Warsaw, Poland



List of participants




Practical information on the Banach Center

Accommodation outside the Banach Center


Scientific Committee:

J-P. Brasselet (Luminy), Yu. Chekanov (Moscow), V. Goryunov (Liverpool), S. Gusein-Zade (Moscow), S. Izumiya (Sapporo), G. Ishikawa (Sapporo), M. Kazarian (Moscow), J. Kijowski (Warsaw), R. Ribotta (Orsay), M. Saia (Sao Carlos), N. Schwartz (Passau), D. Trotman (Marseille), M. Zhitomirskii (Haifa), Y. Yomdin (Rehovot)


Advisory Committee:

V.I. Arnol`d (Moscow), M. Berry (Bristol), V. Vassiliev (Moscow)


Organizing Committee:

J.W. Bruce (Liverpool), S. Janeczko (Warsaw), D. Siersma (Utrecht), M. Soares Ruas (Sao Carlos), V. Zakalyukin (Moscow)


Local organizers:

W. Domitrz, B. Janisz, M. Zajac


Proposed research topics include:


I. Local models
- Lagrangian and legendrian singularities
- Asymptotic behaviour around caustics and wavefronts
- Singular symplectic, contact and Poisson spaces
- Systems of rays, optical caustics
- Bifurcations of caustics and wavefronts
- Singularities of J-holomorphic curves
- Differential geometry of singularities

II. Symplectic invariants
- Vassiliev invariants, Gromov-Witten invariants
- Lagrangian cobordism invariants
- Symplectic capacities
- Singular reduction
- Hamiltonian systems and their generalizations
- Symplectic singularities of curves and surfaces
- Applications to natural and physical systems


We plan to publish the Banach Center Volume Proceedings. As a rule we would not
want regular papers to exceed 12 pages and survey papers to exceed 20 pages. We will
encourage the researchers to deliver special historical review lectures and submit
them to the proceedings.

Proceedings of Caustics '98 (abstracts only)

Proceedings of Caustics '02 (full texts available)