International Conference

Algebraic Analysis of Differential Equations

--- from Microlocal Analysis to Exponential Asymptotics ---

in honor of Prof. Takahiro KAWAI on the occasion of his sixtieth birthday

July 7 (Thu) -- July 14 (Thu), 2005
Lecture Hall (Room No. 420) of RIMS (for July 7, 8),
International Conference Hall of the Clock Tower (for July 11--14),
Kyoto University

Scientific Committee :

M. Kashiwara (RIMS, Kyoto Univ.), T. Miwa (Kyoto Univ.),
Y. Takei (RIMS, Kyoto Univ.)

Organizers :

T. Aoki (Kinki Univ.), T. Koike (Kyoto Univ.), H. Majima (Ochanomizu Univ.),
Y. Okada (Chiba Univ.), Y. Takei (RIMS, Kyoto Univ.), N. Tose (Keio Univ.)
Contact: Y. Takei (takei@kurims.kyoto-u.ac.jp)

Invited Speakers :

T. Aoki (Kinki Univ.), C. M. Bender (Washington Univ.),
L. Boutet de Monvel (Univ. de Paris VI),
O. Costin (Rutgers Univ. & Ohio State Univ.), E. Delabaere (Univ. d'Angers),
L. Ehrenpreis (Temple Univ.), C. J. Howls (Univ. of Southampton),
K. Iwasaki (Kyushu Univ.), M. Jimbo (Univ. of Tokyo),
M. Kashiwara (RIMS, Kyoto Univ.), K. Kataoka (Univ. of Tokyo),
T. Kawai (RIMS, Kyoto Univ.), Y. Laurent (Univ. de Grenoble),
G. Lebeau (Univ. de Nice-Sophia Antipolis), G. Nakamura (Hokkaido Univ.),
S. Ouchi (Sophia Univ.), F. Pham (Univ. de Nice-Sophia Antipolis),
A. Shudo (Tokyo Metropolitan Univ.), H. J. Silverstone (Johns Hopkins Univ.),
J. Sjöstrand (Ecole Polytechnique), H. Tahara (Sophia Univ.),
Y. Takei (RIMS, Kyoto Univ.), G. Uhlmann (Univ. of Washington),
A. Voros (CEA Saclay), M. Yoshino (Hiroshima Univ.).

Program (download)

dvi files

in english, in japanese (compiled by platex), in japanese (compiled by jlatex)

pdf files

in english, in japanese

Party

As a reception of the Conference and, at the same time, to celebrate the sixtieth birthday of Professor Takahiro Kawai, we will hold a party from 17h30 on July 11, Monday at the International Conference Hall (Room III) of the Clock Tower, Kyoto University. (The fee is approximately 6,000 Japanese yen per person.)

Program and Abstracts

July 7, Thursday

13:30--14:30 Johannes Sjöstrand (Ecole Polytechnique)

Spectral instability for non-self-adjoint operators (abstract)

15:00--16:00 Kiyoomi Kataoka (Univ. of Tokyo)

Boundary value problems with fractional power singularities (abstract)

16:30--17:30 Yves Laurent (Univ. de Grenoble)

Inverse image of D-modules and weighted b-functions (abstract)

July 8, Friday

9:30--10:30 Gen Nakamura (Hokkaido Univ.)

Inverse problem for reconstructing medium singularity (abstract)

10:45--11:45 Leon Ehrenpreis (Temple Univ.)

The edge of the wedge theorem (abstract)

13:15--14:15 Gilles Lebeau (Univ. de Nice-Sophia Antipolis)

The hypoelliptic Laplacian of J.-M. Bismut (abstract)

14:30--15:30 Hidetoshi Tahara (Sophia Univ.)

Coupling of two partial differential equations and its application (abstract)

July 11, Monday

10:00--11:00 Louis Boutet de Monvel (Univ. de Paris VI)

Logarithmic trace of Szegö and Toeplitz projectors (abstract)

11:30--12:30 Michio Jimbo (Univ. of Tokyo)

Correlation funtions in solvable lattice models: history and recent advances (abstract)

14:00--15:00 Masaki Kashiwara (RIMS, Kyoto Univ.)

Codimension three conjecture for holonomic modules

15:45--16:45 Takahiro Kawai (RIMS, Kyoto Univ.)

Virtual turning points --- A gift of microlocal analysis to the exact WKB analysis (abstract)
(Joint work with T. Aoki, T. Koike, Y. Nishikawa, S. Sasaki, A. Shudo and Y. Takei)

17:30--

< Party >

July 12, Tuesday

9:30--10:30 Takashi Aoki (Kinki Univ.)

Exact WKB analysis via computers (abstract)
(Joint work with N. Honda and T. Koike)

11:00--12:00 Gunther Uhlmann (Univ. of Washington)

Boundary rigidity and the Dirichlet-to-Neumann map (abstract)

13:30--14:30 André Voros (CEA Saclay)

From exact-WKB towards singular quantum perturbation theory (abstract)

15:00--16:00 Frédéric Pham (Univ. de Nice-Sophia Antipolis)

A baby physicist's view of Feynman path integrals (abstract)

16:30--17:30 Carl M. Bender (Washington Univ. in St. Louis)

Ghost busting: Making sense of non-Hermitian Hamiltonians (abstract)

July 13, Wednesday

9:30--10:30 Sunao Ouchi (Sophia Univ.)

The behaviors of singular solutions of some partial differential equations in the complex domain (abstract)

11:00--12:00 Ovidiu Costin (Rutgers Univ. & Ohio State Univ.)

Borel summability and rigorous WKB for partial differential equations (abstract)

13:30--14:30 Harris J. Silverstone (Johns Hopkins Univ.)

Some observations on the JKWB treatment of the quadratic barrier (abstract)

15:00--16:00 Eric Delabaere (Univ. d'Angers)

Resurgent reduction near a simple turning point (abstract)

16:30--17:30 Akira Shudo (Tokyo Metropolitan Univ.)

A role of new Stokes curves in the quantized Henon map (abstract)

July 14, Thursday

9:30--10:30 Masafumi Yoshino (Hiroshima Univ.)

WKB analysis and small denominators for vector fields (abstract)

11:00--12:00 Christopher J. Howls (Univ. of Southampton)

Recent developments in exponential asymptotics for nonlinear partial differential equations (abstract)

13:30--14:30 Katsunori Iwasaki (Kyushu Univ.)

Bounded trajectories in the sixth Painlevé dynamics (abstract)

15:00--16:00 Yoshitsugu Takei (RIMS, Kyoto Univ.)

Instanton-type formal solutions for the first Painlevé hierarchy (abstract)

Access

2005/04/12(Tue) Created.
2005/04/25(Mon) Changed the program.
2005/05/01(Sun) Announcement of the out-of-service on May 3rd.
2005/05/03(Tue) Restarted.
2005/05/11(Wed) Changed the program.
2005/05/24(Tue) Changed the program, added the titles of talks, and put abstracts.
2005/05/25(Wed) A few corrections.
2005/05/30(Mon) A correction (only in index.html, program.dvi and program.pdf).
2005/06/07(Tue) Changed the program (July 8th and 12th).
2005/06/14(Tue) Changed the program (July 8th and 12th), Added an abstract.
2005/06/21(Tue) Added abstracts.
2005/06/22(Wed) Information for the party.
2005/07/15(Fri) Changed the program (July 13th and 14th), Added an abstract.
2005/07/19(Tue) A corrections.