Workshop "PHASE SINGULARITIES AND TOPOLOGY" (PST05)
Dates: 13th December -- 15th December 2005.
Venue: Room 508, Building 4, Department of Mathematics,
Faculty of Sciences, Hokkaido University.

Program (tentative)

13th Dec. (Tue.)
10:00--11:00
Akira Kaneko (Ochanomizu Univ.) 
     Asymptotic expansions of oscillatory integrals
11:15--12:15
Shyuichi Izumiya (Hokkaido Univ.)
     Introduction to Lagrange-Legendre singularity theory 
-- geometric meaning of wavefront propagations and caustics -- 
14:15--15:15
Gen Nakamura (Hokkaido Univ.) 
     Analytic study of Rayleigh wave and its applications
15:30--16:30
Tatsushi Morioka (Osaka Kyoiku Univ.) 
     Mirror symmetry and WKB analysis
16:45--
Problem Session, Reference Session

14th Dec. (Wed.)
10:00--11:00
Taco D. VisseriVrije Universiteit Amsterdam) 
     Vortices, plasmons and coherence: games that people play
11:15--12:15
Oliver B. WrightiHokkaido Univ.j
     Phase singularities in surface acoustic wave fields 
14:15--15:15
Takaharu Tsukada (Nihon Univ.) 
     Singularities of Perestroikas of Caustics and Wave Fronts on an r-corner
15:30--16:30
Yasuhide Fukumoto (Kyushu Univ.)
     Three-dimensional dynamics of an elastic rod and a vortex filament, 
and their intersection
16:45--17:45
Takashi Sakajo (Hokkaido Univ.)
     Singularity in complex time domain
appearing in the vortex-sheet motion


Reception (Not fixed).

15th Dec. (Thu.)
10:00--11:00
Migaku Oda (Hokkaido Univ.) 
     Vortices in superconductors
11:15--12:15
Tohru Ozawa (Hokkaido Univ.) 
     Nonlinear Schr\"odinger equation with a point defect
14:15--15:15
Kazuhiko Aomoto (Kyoto Sangyo Univ.)
     Asymptotic Behaviours and their Connection Problem
for Large Exponents in Analytic Integrals
15:30--16:30
Satoshi Tanda (Hokkaido Univ.)
     A topological look at material
16:45--17:45
Jiro Adachi (Hokkaido Univ.) and Goo Ishikawa (Hokkaido Univ.) 
     Classification of phase singularities for complex scalar waves


Each speaker has 60 min. including question time.
All talks should be in English or in Japanese, but
any writing, transparencies or slides should be in English.
A blackboard, OHP, and digital projector are provided.
Because participants are from various fields, introductory (and thus
fruitful) talks are strongly recommended.

In the problem session, any participant can pose any problem related to this
workshop.
Any participant can solve it.
In the reference session, any participant can provide any reference related
to this workshop.
Providing any preprint/reprint or any information is welcomed.
Preparing lists of problems and references would be very helpful.

Organizers : Shyuichi Izumiya (Hokkaido Univ.), Goo Ishikawa (Hokkaido
Univ.)
Scientific committee:
Hideyuki Majima (Ochanomizu Univ.), Akira Kaneko (Ochanomizu Univ.),
Oliver B. Wright (Hokkaido Univ.),  Gen Nakamura (Hokkaido Univ.),
Satoshi Tanda (Hokkaido Univ.), Tohru Ozawa (Hokkaido Univ.)

This workshop concerns the pooled activities of two projects:
the COE Program,
"Mathematics of Non-Linear Structure via Singularity"(Leader: Tohru Ozawa),
and
the COE Program,
"Topological Science and Technology " (Leader: Satoshi Tanda),

Objective : 
Singular phenomena in wave propagation and in quantum 
mechanics must be studied
from the point of view of phase singularities and their topology. 
Phase singularities are singular points
of wave functions, and represent wave dislocations where the phase 
is not defined.
The motivation for holding this workshop is based on the desire 
to encourage two-way intercourse 
between theoretical prediction and experimental verification, 
between mathematical frameworks and their physical realizations,  
and between mathematical physics and physical mathematics. 
This workshop consists of interesting introductory talks by experts 
from various fields, selected according to the recommendations of 
the workshop scientific committee.
In the problem and reference sessions a few topics 
related to phase singularities and topology will be discussed in detail.

Subjects within the scope of this workshop: 
singular optics, optical vortices, wave optics, quantum optics, 
geometric optics, rainbows, asymptotic analysis, geometric asymptotics,
singularities of vortices, 
caustics, acoustics, elastic waves, seismology,
Lagrange-Legendre singularities,
meteorology, frontogenesis, gravitational lensing, etc.

%Last modified in 21 Nov. 2005