JU/RC=Joint Usage/Research Center
Kyoto University Research Institute for Mathematical Sciences International Joint Usage/Research Center Kickoff Symposium
28 March (Thurs.) 2019, 10:00-12:50
Maskawa Hall, North Comprehensive Education and Research Building (north campus) Kyoto University.
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The Research Institute for Mathematical Sciences at Kyoto University was certified by the Ministry of Education, Culture, Sports, Science and Technology (MEXT) in 2018 as an International Joint Usage/Research Center (” International Center for Collaborative Study in Mathematical Sciences”) and is set to begin operations as a new hub for visiting researchers in the fields of mathematics and mathematical sciences. To commemorate the inauguration we will hold a symposium consisting of four expert-level lectures on the current state and future outlook of research in mathematics and mathematical sciences, followed by a ceremony and two lectures for the general public to broaden awareness of ways of thinking in the fields of mathematics and mathematical sciences.
10:00-10:40 | Lecture 1 | Kari Vilonen -Algebra- (Professor, University of Melbourne) Real groups, Hodge theory, and the Langlands duality. Chairperson: Tomoyuki Arakawa (Professor, Research Institute for Mathematical Sciences, Kyoto University) |
10:40-11:20 | Lecture 2 | Yakov Eliashberg -Geometry- (Professor, Stanford University) |
11:20 - 11:30 | Break | |
11:30-12:10 | Lecture 3 | Martin Barlow -Probability- (Professor, University of British Columbia) |
12:10-12:50 | Lecture 4 | Martin Grötschel –Applied Mathematics- (President, Berlin-Brandenburgische Akademie der Wissenschaften) Chairperson: Kazuhisa Makino (Professor, Research Institute for Mathematical Sciences, Kyoto University) |
*MC: Kaoru Ono (Professor, Research Institute for Mathematical Sciences, Kyoto University)
Kari Vilonen
Title: Real groups, Hodge theory, and the Langlands duality.
One of the open questions in representation theory of real groups is the determination of the unitary dual, i.e., the irreducible unitary representations. In joint work with Schmid we have proposed that (certain) irreducible representations carry an extra structure, a Hodge structure. We will explain how this can be helpful in determining the unitary dual. We will also explain the role played in this question by the Langlands duality.
Yakov Eliashberg
Title: Functions of several complex variables and symplectic topology
It turns out that many problems in high dimensional complex analysis, e.g. those related to the notion of holomorphic convexity, have tight connections with symplectic topology. In the talk I will explore this link and its applications.
Martin Barlow
Title: Random walk and diffusion in fractal environments
Over 40 years ago the physicist De Gennes proposed the study of diffusion in fractal environments as a means to study the properties of physical systems close to the critical point. In the time since then our understanding of this type of diffusion has advanced greatly. This talk will give an overview of the area. In particular I will describe results and conjectures concerning diffusion on models arising in statistical physics, such as the uniform spanning tree and the uniform planar triangulation.
Martin Grötschel
Title: Developments, Successes, Challenges
Applied mathematics has undergone tremendous changes in the last 70 years. The invention of the computer around 1950 was and still is the big game changer. New mathematical fields such as discrete mathematics, optimization, operations research, and scientific computing grew significantly along with computer science. Pure mathematical subjects became applied and vice versa, cross fertilization with other disciplines expanded the reach of mathematical methods significantly and opened up many new application areas. Mathematics has become a powerful production factor in industry and an indispensable tool in many scientific fields. In my lecture, I will sketch the historical development of applied mathematics briefly; my focus, however, will be on recent success stories and on challenges lying ahead.
150 people
25 March (Mon.) noon
Research Institute for Mathematical Sciences, Kyoto University
English
Research Institute for Mathematical Sciences, Kyoto University, International Joint Usage/Research Center Kickoff Symposium Organizing Office – In CS Center (Kyoto-shi, Nakagyo-ku, Senshouji-cho 334, Nisshou Bld. 5th floor.
TEL: 075-241-9620 FAX: 075-241-9692
E-mail: kyoten@cscenter.co.jp
Kyoto University, Maskawa Hall
20 min. walk from Keihan “Demachiyanagi” Station / 45 min. by bus from JR/Kintetsu “Kyoto” Station / 30 min. by bus from Hankyu “Kawaramachi” Station (Shijo-Kawaramachi)
14:00-14:15 | Opening Remarks/Overview of Research Center | Michio Yamada (Director, Kyoto University Research Institute for Mathematical Sciences) |
14:15-14:40 | Guest Speakers’ Address |
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14:40-15:20 | Commemorative Lecture (1) | Christiane Rousseau (Professor, Université de Montréal) Some geometries to describe nature |
15:20-16:00 | Commemorative Lecture (2) | Tadashi Tokieda (Professor, Stanford University) |
16:00-16:05 | Closing Address | Akio Tamagawa (Assoc. Director, Kyoto University Research Institute for Mathematical Sciences) |
*Changes to the program/lecturers are sometimes unavoidable. Please be aware.
Kyoto University RIMS