JSPS awards for eminent scientists

Report on the invitation program for distinguish researchers 2010

  1. Host Researcher

    Name: Yoshiaki Maeda
    Professor of Faculty of Science and Technology、Keio University

  2. Invited eminent scientist (name, title and affiliation, nationality)

    Maxim Kontsevicch
    I.H.E.S. France, Professor

  3. Duration of the stay

    October31-November13, 2010 (14days)

  4. Schedule during the stay (date, research activities, name of the places to visit, and description of the visits )

    October 30 Leaving  Paris CDG (AF292).
    October 31

    Arriving at Kansai  Airport (8:25am).
    Going to Hotel(Kyoto) and then to RIMS, Kyoto Univerisity
    To discuss with Professors Masaki Kashiwara, Kenji Fukaya,
    Tsuyoshi Kato, etc

    November 1-5 Joinning the international conference on Noncommuative
    Goemotry and Phyiscs 2010 and Hayashibara Forum for
    November 6 Attending the Hayashibara Forum public lecture to discuss with students.
    November 7

    Visiting RIMS and Discussions with Professors Maskai Kashiwara, Yakov Eliashbergs, (participants of the international Conference), etc.

    November 8-12 Joining the international conference on Noncommutative
    Geometry and Physics 2010, for giving lectures and discussions
    November 13 Leaving at Kansai airport( AF 291).

  5. Description of and results from the invitation

      This is the final year of our program to invite Professor Maxim Kontsevich as a distinguished professor supported by JSPS. For this reason, we planned an international meeting as one of the activities of the joint Mathematical Sciences Research Institute (MSRI) and Kyoto University project year titled “Perspectives on deformation quantization and noncommutative geometry.” Professor Kontsevich was willing to help organize this meeting, and stayed for two weeks for this conference.

      After arriving at Kanasi airport on October 31, 2010, Professor Kontsevich came directly to RIMS and joined the discussions on the organization of the conference. The first two days of the conference (November 1-2) focused mainly on deformation quantization from the analytical point of view (algebraic analysis). Professors Pierre Schapira (Paris 6), Masaki Kashiwara (Kyoto University) and Takuro Mochizuki (RIMS) gave talks on D-modules and deformation quantization. Professors Pierre Cartier (Ecole Polytechnique/IHES) and Dmitry Kalden (Steklov Institute/KIAS) gave talks on mathematical physics from algebraic point of view. Professor Kontsevich discussed topics raised in these lectures from his perspective and gave many suggestions.)

      On November 3-5, we held the Hayashibara Forum on symplectic geometry, noncommutative geometry and physics. This was the planned follow-up meeting on the same topics to the conference we organized at MSRI, Berkeley, USA. Professors Yakov Eliashberg (Stanford University) and Kenji Fukaya gave lectures on symplectic invariants and mirror symmetry, topics deeply related to Professor Kontsevich’s research, and which led to further discussions and remarks from Professor Kontsevich.

      On November 6, we organized a public lecture for the Hayashibara Forum at Clock Tower Hall in Kyoto University, at Professor Kontsevich’s suggestion. There were two lectures: Birth and Progress of the Universe by Professor Misao Sasaki (Yukawa Institute), and Rigid and Flexible Geometry by Professor Yakov Eliashberg (Stanford University). Afterwards, Professor Masuo Suzuki moderated a discussion with the general audience. Professor Kontsevich cordially joined this discussion, which we found was very beneficial for this audience.

      On November 7, Professor Kontsevich organized a formal [or: an informal?] discussion between researchers who participated in the international conference in RIMS and young researchers. In particular, he explained some ideas behind the lectures on integrable systems he gave at this conference.

      For November 8-12, Professor Kontsevich gave a series of three lectures on quantum and hyper-Kaehler structures on integrable systems. Since this was his first public presentation on this research, all participants we greatly interested in his original approach. He discussed this work with young researchers, which clearly had a great influence on them.

      Throughout this conference, Professor Kontsevich initiated many discussions with young researchers and encouraged their work. His lectures were very clear and generated great interest. Thus, we had very fruitful and beneficial results from our invitation to Professor Kontsevich.

  6. Contributions to the Host Institute
    1) Progress on academic matters.
    Professor Kontsevich has won awards for by his distinguished research, such as showing the existence of a deformation quantization for any Poisson manifold, and introduced new techniques from  graded differential algebras, quasi-isomorphisms and operad theory.  Although this research area is not so common in Japan, it is now developing quickly even in Japan.  This growth is a main reason Professor Kontsevich was willing to come to Japan.  Researchers, particularly young researchers working in this area, have been greatly influenced by his discussions.  This contributes to the development of this important field of mathematics in Japan.
    2) Encouragement to young researchers.
    As we mentioned above, it is very important for young researchers to have opportunities for discussion with distinguished researchers.  Professor Kontsevich is both a world leader in important areas of mathematics and a congenial personality, which makes him very approachable to young researchers. For example, Professor Kontsevich joined in the Kinosaki seminar in 2009 and had many hours long evening mathematical discussions with young researchers, which was a rare opportunity for them.
    3) International contributions
    Professor Kontsevich is one of the most distinguished researchers in mathematics and mathematical sciences in the world. Thus, it has been an extraordinary opportunity to have had him visiting Japan for the past three years. We note that the conference for this year had over 120 participants including overseas researchers from Asian countries, including Korea, China, Vietnam, Taiwan, etc.  Thus this series appeals strongly to mathematicians in Asian countries, and it promotes Japanese leadership [?] in this research area.
    4) Contributions to the host institution
    During these three years of visits by Professor Kontsevich, Keio University has had the valuable opportunity to have him as a visiting professor, which influenced not only our senior researchers but also our young researchers and students.  While his stay was based on Keio University, Professor Kontsevich also Kyoto University, RIMS, IPMU, Tokyo University, etc, and gave friendly encouragment encouraged young researchers.  It was a great benefit [?] for us that he came for three years to Keio, and additionally participated in the French-Japan Forum and the Kinosaki seminar to encourage mathematics in Japan.  Such activities reinforces that Keio University is a cutting edge institution in mathematics.

  7. Others

    We organized a public lecture this year during Professor Kontsevich’s visit. Professor Kontsevich friendly participation was a good opportunity for students and general audiences to meet him and get a glimpse of his mathematical thinking.