RIMS Research Project 2004
| Recent Trends in Exponential Asymptotics |
From June 28 (Monday), 2004, 13:30 through July 2 (Friday), 15:45
At Lecture Hall (Room No. 420) of RIMS, Kyoto University
Organizer : Yoshitsugu Takei (RIMS, Kyoto University)
Program
(NOTE: The program has been changed. The biggest change is that the talk
of A. Voros is
added on Wednesday. On the other hand,
the talks of Kawai et al are moved to
Thursday and
Friday, and consequently the afternoon session of Friday is extended.)
| June 28, Monday | ||
| 13:30 - 14:30 | Ovidiu Costin (Rutgers Univ.) | |
Existence, uniqueness, asymptotic and Borel summability properties of
solutions of nonlinear evolution PDEs in
| ||
| 14:45 - 15:45 | Masafumi Yoshino (Hiroshima Univ.) | |
| WKB analysis and Poincaré's theorem | ||
| 16:00 - 17:00 | Adri Olde Daalhuis (Univ. of Edinburgh) | |
| Hyperasymptotics for nonlinear ODEs | ||
| June 29, Tuesday | ||
| 10:00 - 11:00 | Tatsuya Koike (Kyoto Univ.) and Yukihiro Nishikawa (Hitachi Ltd.) | |
| On exact WKB analysis for the fourth Painlevé hierarchy | ||
| 11:15 - 12:15 | Chris J. Howls (Univ. of Southampton) | |
|
< Introductory Course to Exponential Asymptotics >
Introduction to Exponential Asymptotics, I | ||
| 14:00 - 15:00 | Shun Shimomura (Keio Univ.) | |
| On second-order nonlinear differential equations with quasi-Painlevé property | ||
| 15:15 - 16:15 | Nalini Joshi (Univ. of Sydney) | |
| Analytic results (inspired by asymptotics) for the first Painlevé equation | ||
| 16:30 - 17:30 | Masaki Hibino (Meijou Univ.) | |
| Borel summability of divergent solutions for singular 1st order linear PDEs of nilpotent type | ||
| June 30, Wednesday | ||
| 10:00 - 11:00 | Setsuro Fujiie (Tohoku Univ.) | |
| WKB solutions near a regular singular point | ||
| 11:15 - 12:15 | Chris J. Howls (Univ. of Southampton) | |
|
< Introductory Course to Exponential Asymptotics >
Introduction to Exponential Asymptotics, II | ||
| 14:00 - 15:00 | André Voros (CEA Saclay) | |
| The general 1D Schrödinger equation as an exactly solvable problem | ||
| 15:15 - 16:15 | Eric Delabaere (Univ. of Angers) | |
| Resurgent deformations for an ordinary differential equation of order 2 | ||
| 16:30 - 17:30 | Kunio Ichinobe (Nagoya Univ.) | |
| On the structure of the integral kernel for the Borel sum | ||
| July 1, Thursday | ||
| 10:00 - 11:00 | Roberto Tateo (Univ. of Turin) | |
| Aspects of the ODE/IM correspondence | ||
| 11:15 - 12:15 | Chris J. Howls (Univ. of Southampton) | |
| On the higher order Stokes phenomenon | ||
| 14:00 - 15:00 | Takahiro Kawai (RIMS, Kyoto Univ.),Tatsuya Koike (Kyoto Univ.), Yukihiro Nishikawa (Hitachi Ltd.), Shunsuke Sasaki (RIMS, Kyoto Univ.) and Yoshitsugu Takei (RIMS, Kyoto Univ.) | |
| On exact WKB analysis for higher order Painlevé equations, I | ||
| 15:15 - 16:15 | Junji Suzuki (Shizuoka Univ.) | |
| The application of the Bethe ansatz method to certain classes of ODE | ||
| 16:30 - 17:30 | Akira Shudo (Tokyo Metropolitan Univ.) | |
| Stokes geometry for the quantized Henon map | ||
| July 2, Friday | ||
| 9:45 - 10:45 | Miloslav Znojil(Nuclear Physics Institute, CR) | |
|
Factorized exponential asymptotics of wavefunctions:Hill-determinant method,
quasi-exact bound states and energy-dependent Hamiltonians | ||
| 11:00 - 12:00 | Takashi Aoki (Kinki Univ.),Takahiro Kawai (RIMS, Kyoto Univ.), Tatsuya Koike (Kyoto Univ.) and Yoshitsugu Takei (RIMS, Kyoto Univ.) | |
| Accumulation of turning points for an integral equation that appears in plasma physics | ||
| 13:30 - 14:30 | Takahiro Kawai (RIMS, Kyoto Univ.),Tatsuya Koike (Kyoto Univ.), Yukihiro Nishikawa (Hitachi Ltd.), Shunsuke Sasaki (RIMS, Kyoto Univ.) and Yoshitsugu Takei (RIMS, Kyoto Univ.) | |
| On exact WKB analysis for higher order Painlevé equations, II | ||
| 14:45 - 15:45 | Carl M. Bender (Washington Univ. in St. Louis) | |
| Quantum mechanics based on non-Hermitian Hamiltonians | ||
|
Research Institute for Mathematical Sciences |
| Last modified: June 22, 2004 |