Takashi Takebe

Last updated: Sep 14, 2015 at 23:02

Name Takashi Takebe Higher School of Economics, Russia Faculty of Mathematics Professor PhD (Mathematical Sciences)

2009

Professor, Higher School of Economics (Russia), Faculty of Mathematics

2007
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2009

1992
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1999

1991
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1992

Published Papers

Takashi Takebe
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)   10(023)    Mar 2014   [Refereed]
We show that one-variable reduction of the dispersionless BKP hierarchy is
characterised by a Löwner type equation for the quadrant.
Kanehisa Takasaki, Takashi Takebe
Analysis and Mathematical Physics   2(2) 171-214   2012   [Refereed]
A construction of general solutions of the \hbar-dependent Toda hierarchy is
presented. The construction is based on a Riemann-Hilbert problem for the pairs
(L,M) and (\bar L,\bar M) of Lax and Orlov-Schulman operators. This
Riemann-Hilbert proble...
Kanehisa Takasaki, Takashi Takebe
Theoretical and Mathematical Physics   171(2) 683-690   2012   [Refereed]
This is a summary of a recursive construction of solutions of the
hbar-dependent KP hierarchy. We give recursion relations for the coefficients
X_n of an hbar-expansion of the operator X = X_0 + \hbar X_1 + \hbar^2 X_2 +
... for which the dressing...
Takashi Takebe
Progr. Math.   237(Infinite dimensional algebras and quantum integrable systems) 205-224   Dec 2005   [Refereed]
The sheaves of conformal blocks and conformal coinvariants of the twisted WZW
model have a factorisation property and are locally free even at the boundary
of the moduli space, where the elliptic KZ equations and the Baxter-Belavin
elliptic r matr...
Kanehisa Takasaki, Takashi Takebe, Lee Peng Teo
J. Phys. A: Math. Theor.   43(32) 325205-(22p.)   Jul 2010   [Refereed]
The notion of non-degenerate solutions for the dispersionless Toda hierarchy
is generalized to the universal Whitham hierarchy of genus zero with
marked points. These solutions are characterized by a Riemann-Hilbert problem
(generalized stri...

Misc

Kanehisa Takasaki, Takashi Takebe
May 2011
This is a summary of a recursive construction of solutions of the
hbar-dependent KP hierarchy. We give recursion relations for the coefficients
X_n of an hbar-expansion of the operator X = X_0 + \hbar X_1 + \hbar^2 X_2 +
... for which the dressing...
Kanehisa Takasaki, Takashi Takebe
Jan 2006
It has been shown that the dispersionless KP hierarchy (or the Benney
hierarchy) is reduced to the chordal Löwner equation. We show that the radial
Löwner equation also gives reduction of a dispersionless type integrable
system. The resulting ...

Books etc

 数学で物理を武部 尚志日本評論社   Mar 2007   ISBN:4535784698追加情報（特に正誤表）のページを作りました。左側のリンクからご覧下さい。
 モスクワの数学ひろば 3 (3)　代数篇／対称性・数え上げパラモノヴァ, ヴィンベルク, コーハシ (武部尚志訳)海鳴社   Mar 2007   ISBN:4875252390
 可解格子模型と共形場理論の話題から武部尚志 (関谷信寛 記)上智大学数学講究録 47   Dec 2006
 Basic methods of soliton theoryIvan Cherednik (translated from the Russian by Takashi Takebe)World Scientific   1996   ISBN:981-02-2643-8