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From 2002, Ministry of Education, Culture,
Sports, Science and Technology started
the so-called "21st Century COE Program"
that aims at promoting the construction
of international educational and research
bases in several selected universities
for each field of sciences. COE stands
for "Center Of Excellence". Our program
has started in August, 2003 in the category
of "Mathematics, Physics and Earth Sciences"
for five years. The Integrative Mathematical
Sciences is to open a new horizon to mathematical
sciences by challenging to model various
natural and social phenomena through data.
The core of our program is fundamental
mathematics including non-commutative geometry,
global analysis, dynamics and nonlinear
optimization. The core is wrapped with
data science and experimental mathematics.
The data science plays a role of an interface
to various phenomena by means of data.
The experimental mathematics supports experimental
aspect of mathematical sciences, including
computer experiments and numerical evaluation.
The main objective of our program is to
integrate such three different aspects
of mathematical sciences. |
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To integrate different interests of the
26 members not only from department of
mathematics but also from department of
economics, the following two transversal
projects are going in this COE program.
| 1. |
Non-commutative
manifold and discrete geometric
objects in the framework of non-commutative
geometry
The main objective of this project is to
establish an integrative theory of non-commutative
manifold by expanding the successful non-commutative
geometry approach to Index theorem, Gauge
theory and Integrable systems. |
| 2. |
Mathematical modelling of various phenomena driven by data science
The main objective of this project is to
develop mathematics by modeling various nonlinear
phenomena through data. Our interest is ranging
over natural phenomena like typhoon or earthquakes,
social phenomena like trading in financial
markets, and biological phenomena like neural
networks or ecosystems. |
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Our program also involves international
cooperation with other educational or research
organizations. It is not only for activating
our research projects but also for giving
a good opportunity for Ph.D. candidates
and postdoctoral fellows to challenge front-line
research subjects, working with world-class
international researchers while gaining
international experience.
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1.
The objective of the program
