DATE: June 30, 2003 (Mon) 9:30- July 2 (Wed) 16:30
PLACE: Room 115, RIMS, Kyoto University, Sakyo-ku, Kyoto 606-8502
| June 30 (Mon) | |
| 9:30-10:20 | Laurent Saloff-Coste (Cornell University) |
| The heat equation on manifolds with ends | |
| (Joint work with A. Grigor'yan) | |
| 10:30-11:10 | Takashi Shioya (Tohoku University) |
| Gromov-Hausdorff convergence of Sobolev spaces | |
| 11:30-12:10 | Atsushi Kasue (Kanazawa University) |
| Convergence of Riemannian vector bundles and energy forms | |
| 14:00-14:50 | Karl-Theodor Sturm (University of Bonn) |
| Transport inequalities, gradient estimates, entropy and curvature I | |
| 15:00-15:40 | Shin-ichi Ohta (Tohoku University) |
| Regularity of harmonic functions in Cheeger type Sobolev spaces | |
| 16:00-16:40 | Kazuhiro Kuwae (Yokohama City University) |
| Calabi's strong maximum principle via local Dirichlet forms |
| July 1 (Tue) | |
| 9:30-10:20 | Laurent Saloff-Coste (Cornell University) |
| Invariant Laplacians on the infinite dimensional torus: | |
| Examples in the theory of local Dirichlet spaces | |
| (Joint work with A. Bendikov) | |
| 10:30-11:10 | Hiroaki Aikawa (Shimane University) |
| Converse of the boundary Harnack principle | |
| 11:30-12:10 | Minoru Murata (Tokyo Institute of Technology) |
| Uniqueness theorems for parabolic equations and | |
| Martin boundaries for elliptic equations in skew product form | |
| 14:00-14:40 | Motoko Kotani (Tohoku University) |
| The magnetic transition operators on a crystal lattice | |
| 14:50-15:30 | Satoshi Ishiwata (Tohoku University) |
| Random walks on nilpotent covering graphs | |
| 15:50-16:50 | Open problem session |
| 18:00- | Reception |
| July 2 (Wed) | |
| 9:30-10:20 | Karl-Theodor Sturm (University of Bonn) |
| Transport inequalities, gradient estimates, entropy and curvature II | |
| 10:30-11:10 | Yuzuru Inahama (Osaka University) |
| Eigenvalue asymptotics for the Schrödinger operators | |
| on the hyperbolic plane (joint work with Shin-ichi Shirai) | |
| 11:30-12:10 | Masayoshi Takeda (Tohoku University) |
| Criticality of generalized Schrödinger operators and differentiability | |
| of spectral functions | |
| 14:00-14:40 | Shigeki Aida (Osaka University) |
| Precise Gaussian estimates of heat kernels | |
| on asymptotically flat Riemannian manifolds with poles | |
| 14:50-15:30 | Jun Kigami (Kyoto University) |
| Local Nash inequality and inhomogeneity of heat kernels | |
| 15:50-16:30 | Masatoshi Fukushima (Kansai University) |
| Dirichlet forms and diffusions on one-point compactifications |