MSJ Spring Meeting 2010
Plenary and Invited Organized Talks
Plenary Talks, March 25 at Hiyoshi Campus, Dokuritsu-kan BLDG D-101
| 15:30-16:30 | MSJ Spring Prize Awardee |
| 16:45-17:45 | Iwasaki, Katsunori (Kyushu Univ.) |
| Dynamics and Algebraic Analysis of Painlevé equations | |
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Summary
Algebraic geometry and moduli theory of Painlevé equations
are combined with ergodic theory of birational maps on complex
surfaces via Riemann-Hilbert correspondence to reveal chaotic
nature of the dynamics of the sixth Painlevé equation.
The main subject of this talk is the qualitative study of
Painlevé equations focusing on the dynamical complexity of
their trajectories, while the recent interests of the field
are mainly in the aspects of integrable systems. Key Words Painlevé equations, algebraic geometry, moduli spaces, monodromy, birational maps, ergodic theory, chaos, periodic points |
Invited Organized Talks, March 24, 13:00-14:00, at Yagami Campus
| Parallel III | BLDG 12, 1F, Room 108 |
| Takada, Akira (AGC, Asahi Glass) | |
| Applied mathematics in industry --One example in research and development of glass materials | |
| Key Words glass, topology, molecular simulation | |
| Parallel IV | BLDG 12, 1F, Room 109 |
| Fujiki, Akira (Osaka Univ.) | |
| Compact twistor spaces -- as complex manifolds -- | |
| Key Words twistor space, (anti-)self-dual metric, method of Donaldson-Friedman |
Invited Organized Talks, March 26, 13:00-14:00, at Yagami Campus
| Parallel III | BLDG 12, 1F, Room 108 |
| Nagai, Toshitaka (Hiroshima Univ.) | |
| Critical phenomena for chemotaxis equations | |
| Key Words chemotaxis, critical phenomena | |
| Parallel IV | BLDG 12, 1F, Room 109 |
| Shimizu, Kunio (Keio Univ.) | |
| Probability Distributions in Directional Statistics | |
| Key Words circular statistics, distributions on the sphere, torus, cylinder and disc | |
| Parallel V | BLDG 12, 1F, Room 110 |
| Umehara, Masaaki (Osaka Univ.) | |
| Geometry of fronts -- the intrinsic duality of wave fronts and its application | |
| Key Words Surfaces with singular points |
Invited Organized Talks, March 27, 13:00-14:00, at Yagami Campus
| Parallel III | BLDG 12, 1F, Room 108 |
| Koshitani, Shigeo (Chiba Univ.) | |
| What is representing groups? --Modular representation theory, now, past and future | |
| Key Words finite group, modular representation, Broué's conjecture | |
| Parallel VI | BLDG 12, 2F, Room 210 |
| Oshima, Toshio (Univ. of Tokyo) | |
| Special functions and linear algebraic ordinary differential equations | |
| Summary We give a unified interpretation of confluence, contiguity relation and Katz's middle convolutions for linear ordinary differential equations
with polynomial coefficients. The integral representation and series expansion
of their solutions are also within our interpretation.
As applications to Fuchsian differential equations, we construct a universal
model of Fuchsian differential equations with a given spectral type,
in particular, we construct single ordinary differential equations without
apparent singularities corresponding to the rigid local systems, whose existence
was an open problem presented by Katz. Furthermore we obtain an explicit solution
of the connection problem for the rigid Fuchsian differential equations.
We give examples calculated by our fractional calculus.
Key Words Fuchsian differential equation, middle convolution, connection problem, special function, Riemann scheme |