Japanese Journal of Mathematics
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Teiji Takagi, Founder of the Japanese School of Modern Mathematics
Japanese Journal of Mathematics - Tập 2 - Trang 151-164 - 2007
This article is a brief historical report on Teiji Takagi which was prepared at the commencement of ‘Takagi Lectures’ of The Mathematical Society of Japan. The first of its two purposes is to give some informations on the circumstances of education and research of mathematics in Japan surrounding Takagi who could finally established himself as the founder of the Japanese school of modern mathemati...... hiện toàn bộ
Covariant quantization: spectral analysis versus deformation theory
Japanese Journal of Mathematics - Tập 3 - Trang 247-290 - 2008
Formal deformation or rather symbolic calculus? To which extent do these approaches complete each other in the study of symmetry-preserving quantization procedures for homogeneous spaces? The representation theory of underlying Lie groups shows that the answer is much more delicate than initially thought and that it cannot be always reduced to asymptotic expansions with respect to some Planck’s co...... hiện toàn bộ
On the Connes–Kasparov isomorphism, I
Japanese Journal of Mathematics - - 2024
This is the first of two papers dedicated to the detailed determination of the reduced C*-algebra of a connected, linear, real reductive group up to Morita equivalence, and a new and very explicit proof of the Connes–Kasparov conjecture for these groups using representation theory. In this part we shall give details of the C*-algebraic Morita equivalence and then explain how the Connes–Kasparov mo...... hiện toàn bộ
Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs
Japanese Journal of Mathematics - Tập 7 Số 1 - Trang 41-134 - 2012
Topological-antitopological fusion and the quantum cohomology of Grassmannians
Japanese Journal of Mathematics - - 2021
We suggest an explanation for the part of the Satake Correspondence which relates the quantum cohomology of complex Grassmannians and the quantum cohomology of complex projective space, as well as their respective Stokes data, based on the original physics approach using the tt* equations. We also use the Stokes data of the tt* equations to provide a Lie-theoretic link between particles in affine ...... hiện toàn bộ
On the excursion theory for linear diffusions
Japanese Journal of Mathematics - Tập 2 - Trang 97-127 - 2007
We present a number of important identities related to the excursion theory of linear diffusions. In particular, excursions straddling an independent exponential time are studied in detail. Letting the parameter of the exponential time tend to zero it is seen that these results connect to the corresponding results for excursions of stationary diffusions (in stationary state). We characterize also ...... hiện toàn bộ
Serre’s conjecture and its consequences
Japanese Journal of Mathematics - Tập 5 - Trang 103-125 - 2010
After some generalities about the absolute Galois group of
$$\mathbb Q$$
, we present the historical context in which Serre made his modularity conjecture. This was recently proved by Wintenberger and the author ([22], [23]), with an input of Kisin ([24]). The focus of these notes is on the applications o...... hiện toàn bộ
Foreword to the Japanese Journal of Mathematics
Japanese Journal of Mathematics - Tập 1 - Trang 471-471 - 2006
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