Report on the JSPS Invitation Award for Eminent Scientist
Name: Prof. Martin D. Kruskal
Institution and title: Professor of Rutgers University, USA December 28, 2004 to March 27, 2005 (90 days)
Accommodation: Tokyu Stay Shibuya
Research institute: Graduate School of Mathematical Sciences / The University of Tokyo Status in the host institute: Visiting Professor December 28, 2004 Arrived at Narita airport
Until his departure, he has continually joined in discussions on
singular analysis of differential and difference equations, and
theory of numbers at Graduate School of Mathematical Sciences,
The University of Tokyo. Participants of the discussions were
Junkichi Satsuma, Kazuo Okamoto, Tetsuji Tokihiro, Ralph Willox
and students belonging to laboratories of the above mentioned
professors. Besides this activity, he gave several lectures listed
below.
January 14, 2005
Open lecture at the lecture hall of Graduate School of Mathematical
Sciences.
Title: Surreal numbers  a new number system for the new millenium This was a lecture on new number system, and several tens of audience attended the lecture. January 19, 2005
Special class in College of Arts and Sciences.
Title: Past, Present and Future of Mathematics Almost a hundred of student in College of Arts and Sciences attended and learned Prof. Kruskal's view point on mathematics and sciences. February 14,2005
Invited talk in the international conference "Nonlinear integrable
systems and their real world applications" sponsored by COE program
and held at the lecture hall of Graduate School of Mathematical
Sciences.
Title: Surreal numbers are THE numbers This was a talk which emphasizes the importance of surreal numbers. About 80 participants were impressed by his talk. Professor Kruskal also visited two universities. In each university he gave a lecture listed below and joined in discussion on singular analysis of differential and difference equations, and theory of numbers. January 23 to 26, 2005
He visited Kyoto University, and gave a talk on 24th in Graduate
School of Informatics.
Title: Early Days of Solitons His talk concerned histrical matters of the discovery of solitons. About 30 people attended the lecture. March 9 to 12, 2005
He visited Kyushu University, and gave a talk on 10th in Research
Institute for Applied Mechanics.
Title: The dawn of soliton study This is a special lecture of the research institute. March 27, 2005 Departed from Narita airport to USA
Prof. Kruskal is renowned worldwide for pioneering research on
nonlinear integrable systems. He is almost 80 years old, but still very
active in research on singular analysis of differential and difference
equations, theory of numbers and some others. In this nice opportunity
of having him as a visiting proffesor, we organized seminars for
researchers of our school, in particular for young scientists. From the
seminar young scientists obtaied not only the knowledge on new
direction of research but also proper advice for the research they were
conducting.
We also organized an open lecture sponsored by graduate school of
mathematical sciences to learn his point of view for research. In the
lecture, Prof. Kruskal explained the new system of numbers plainly and
inspired the audience including those from outside the university.
Moreover, we had a special talk for the first and second year
students in college of arts and sciences. We believe that his talk gave
strong motivation for study to almost a hundred students who joined the
class.
In the international conference "Nonlinear integrable systems and
their real world applications" sponsored by COE program, he was not only
one of the key speakers but also an important adviser during the whole
schedule of the meeting. He contributed the success of the conference
very much.
Besides the activity in the university of Tokyo, he visited Kyoto
university and Kyushu university and gave a talk in each institution.
Prof. Ralph Willox accompanied him in both successful trips.
Prof. Kruskal's talks in two universities were concerned with
histrical matters of the discovery of solitons and impressed the
audience strongly.


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