Sponsored by 'Global COE Program
'The research and training center for new development in mathematics', University of Tokyo' with cooperation of Research Center for Integrative Mathematics, Hokkaido University.
The foundation of the semigroup theory was established around 1948 by two distinguished mathematicians - Professor Kôsaku Yosida and Professor Eimar Hille. Since then the theory has developed significantly and it has been applied various fields of mathematics including the theory of partial differential equations, probability theory, harmonic analysis. An analytic semigroup is a special semigroup which is nowadays a key tool to study diffusion equations. The theory of analytic semigroups has a wide range of applications not limited in mathematics but also in real phenomena like phase transition. Although the theory has rich applications, in these days it is seldom that students learn analytic semigroups in universities in Japan even in the University of Tokyo where Professor Kôsaku Yosida had been working for many years.
The purpose of these tutorial lectures and workshop is to help young researchers and students to learn current situation of this important theory as well as their beautiful applications. The year 2009 is the centenary of the birth of Professor Kôsaku Yosida. His 'academic grandsons' organize tutorial lectures and workshop on this special occasion by choosing suitable topics. The organizers encourage students (both graduate and undergraduate) to participate these special events.
The first two days are for tutorial lectures by Professor Simonett who is a world leading expert on analytic semigroups and their applications to free boundary problems like the Stefan problem which is one of typical problems arising in phase transition. Each morning a one hour lecture is given. In the afternoon students are expected to solve problems raised in the lectures with assistance of the lecturer and other researchers. Of course, students are encouraged to ask questions in the afternoon.
The second two days are for a workshop. Other than lectures by world-leading experts, short lectures by young researchers including graduate students are expected. It is a great opportunity for young people to communicate with world-leading experts.
It is our goal that students learn in what way a beautiful abstract theory relates to real world phenomena.
For graduate students (outside Tokyo) who are interested to participate, please contact to Y. Giga at labgiga(at)ms.u-tokyo.ac.jp