Banach Center Symposium - mini.pw.edu.plaito/pj2009.pdf · ・ Lagrangian and Legendrian...

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Takahsi Sano ITP-JSPS “The international sending-elevating project for young mathematicians based on singularity, topology and mathematical analysis: Hokudai model” Hokkaido University, Department of Mathematics γ(t) = a cos kt cos t, a cos kt sin t, a sin kt γ(t) = a cos t + b sin t, a sin t + b cos t, c sin2 t URL: http://alpha.mini.pw.edu.pl/~aito/poljap9.html e-mail: [email protected] Co-organized by Hokkaido University, Warsaw University of Technology Stefan Banach International Mathematical Center Proposed research topics include : ・Lagrangian and Legendrian singularities ・Asymptotic behaviour around caustics and wavefronts ・Symplectic singularities, local invariants ・Singular symplectic, contact and Poisson spaces ・Systems of rays, optical caustics ・Bifurcations of caustics and wavefronts ・Singularities of smooth maps and differential forms ・Motivic integration ・Subanalytic and semialgebraic sets - Lipschitz stratifications ・Lagrangian cobordism invariants ・Blow analytic equivalence ・Singular reduction, Hamiltonian systems and their generalizations ・Applications to physical systems and control theory ・Differential geometry and singularities Local Organizers : M. Cukrowski (Warsaw), Z. Trebska (Warsaw), M. Zajac (Warsaw) Scientific Committee : T. Fukuda (Tokyo), G. Ishikawa (Sapporo), S. Izumiya (Sapporo), S. Janeczko (Warsaw), Z. Jelonek (Krakow), T. Mostowski (Warsaw), C. Romero Fuster (Valencia), M. Soares Ruas (Sao Carlos), Z. Szafraniec (Gdansk), F. Tari (Durham), K. Yamaguchi (Sapporo), B. Wajnryb (Rzeszow), M. Zhitomirskii (Haifa) Organizing Committee : G. Ishikawa (Sapporo), S. Izumiya (Sapporo), S. Janeczko (Warsaw) 13-19 JULY 2009 KAZIMIERZ DOLNY, POLAND Banach Center Symposium

Transcript of Banach Center Symposium - mini.pw.edu.plaito/pj2009.pdf · ・ Lagrangian and Legendrian...

Page 1: Banach Center Symposium - mini.pw.edu.plaito/pj2009.pdf · ・ Lagrangian and Legendrian singularities ・ Asymptotic behaviour around caustics and wavefronts ・ Symplectic singularities,

Takahsi Sano

ITP-JSPS “The international sending-elevating project for young mathematiciansbased on singularity, topology and mathematical analysis: Hokudai model”Hokkaido University, Department of Mathematics

γ(t) = a cos kt cos t, a cos kt sin t, a sin kt

γ(t) = a cos t + b sin t, a sin t + b cos t, c sin2 t

URL: http://alpha.mini.pw.edu.pl/~aito/poljap9.htmle-mail: [email protected]

Co-organized by Hokkaido University, Warsaw University of Technology Stefan Banach International Mathematical Center

Proposed research topics include : ・ Lagrangian and Legendrian singularities ・ Asymptotic behaviour around caustics and wavefronts ・ Symplectic singularities, local invariants ・ Singular symplectic, contact and Poisson spaces ・ Systems of rays, optical caustics ・ Bifurcations of caustics and wavefronts ・ Singularities of smooth maps and differential forms ・ Motivic integration ・ Subanalytic and semialgebraic sets - Lipschitz stratifications ・ Lagrangian cobordism invariants ・ Blow analytic equivalence ・ Singular reduction, Hamiltonian systems and their generalizations ・ Applications to physical systems and control theory ・ Differential geometry and singularities

Local Organizers : M. Cukrowski (Warsaw), Z. Trebska (Warsaw), M. Zajac (Warsaw)

Scientific Committee : T. Fukuda (Tokyo), G. Ishikawa (Sapporo), S. Izumiya (Sapporo), S. Janeczko (Warsaw), Z. Jelonek (Krakow), T. Mostowski (Warsaw), C. Romero Fuster (Valencia), M. Soares Ruas (Sao Carlos), Z. Szafraniec (Gdansk), F. Tari (Durham), K. Yamaguchi (Sapporo), B. Wajnryb (Rzeszow), M. Zhitomirskii (Haifa)

Organizing Committee : G. Ishikawa (Sapporo), S. Izumiya (Sapporo), S. Janeczko (Warsaw)

13-19 JULY 2009KAZIMIERZ DOLNY, POLAND

Banach Center Symposium