Organizers: |
This one-and-a-half day forum will review basic concepts of affine differential geometry, survey the current results in hypersurface realization of statistical manifolds, and define open problems, in both theory and application, that can be tackled by formulating them as problems in affine hypersurface theory.
The unique feature of this forum is that it is technically oriented - it provides hands-on tutorials to computations and derivations by allowing interruptions to presentations and group discussions with open exchange.
Attendance of the forum is free and open to any interested party.
However, in order to make logistic,
participants are required to register
before January 20, 2006, by sending an email to the organizer:
Hiroshi Matsuzoe (Nagoya Institute of Technorogy) | |
Affine differential geometry and affine hypersurface theory: A tutorial | |
Break | |
Hiroshi Matsuzoe (Nagoya Institute of Technorogy) | |
Review of previous work on affine immersion of statistical manifolds | |
Break | |
Hitoshi Furuhata (Hokkaido University) | |
Affine Spheres and Special Kaehler Manifolds |
Jun Zhang (University of Michigan) | |
From convex analysis to bidualistic structure on statistical manifolds | |
Break | |
Keiko Uohashi (Osaka Prefectural College of Technology) | |
Foliation and level surfaces | |
Lunch Break (Lunch is on your own) | |
Atsumi Ohara | |
Geometry of positive cones and positive matrices | |
Break | |
Open Forum: Discussion open problems and future directions.
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Close |
The 5th Workshop on Differential Geometry and Information Geometry
February 17-18, 2006,
Graduate School of Mathematics
Nagoya University.