Heat Kernels, Harnack Inequalities and Related Topics

Conference

Organizer: Takashi Kumagai (Kyoto University)

DATE: November 5, 2004 (Fri) 10:00-- November 6 (Sat) 16:30
PLACE: Department of Mathematics, Kyoto University, Kyoto 606-8502

Program

November 5 (Fri)

10:00--10:50 Alexander Grigor'yan (Imperial College)
Heat kernels of Schr\"odinger operators
11:00--11:50 Jun Kigami (Kyoto University)
Resistance forms and heat kernel estimates
13:30--14:20 Kazuhiro Ishige (Tohoku University)
Movement of hot spots on the exterior domain of a ball
14:30--15:20 Takashi Shioya (Tohoku University)
Geometric variational convergence over metric spaces
15:40--16:30 Kazuhiro Kuwae (Kumamoto University),
Masayuki Takahashi (Yokohama City University)
A remark on Kato class functions of Markov processes

November 6 (Sat)

10:00--10:50 Alexander Grigor'yan (Imperial College)
Heat kernel upper bounds of subgaussian type
11:00--11:50 Hiroaki Aikawa (Shimane University)
Boundary Harnack principle and Carleson estimate
13:30--14:20 Satoshi Ishiwata (Tsukuba University)
Laplacian on uniformly distributed nets and asymptotics of heat semigroup
on nilpotent covering manifolds
14:30--15:20 Atsushi Atsuji (Keio University)
Nevanlinna theory on complete Kahler manifolds
15:40--16:30 Masayoshi Takeda (Tohoku University)
Gaugeability and its application to branching Brownian motions