(旧)理工学部数学科 - colloquium:2009

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Anonymous (anonymous@undisclosed.example.com) — 2017-11-17T14:35:09+00:00

Seminar on Functional Analysis and Global Analysis 5 - 6 October 2009 @seminar room on 3rd floor, Building 4, Noda-campus Tokyo University of Science organized by K. Furutani [Program (pdf file)] 平成 21年 10月 5日講演者 Jürgen Eichhorn 氏 (Ernst-Moritz-Arndt Universität Greifswald, Germany)

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Anonymous (anonymous@undisclosed.example.com) — 2017-11-17T13:53:22+00:00

* 講演者：Jürgen Eichhorn 氏 (Ernst-Moritz-Arndt Universität Greifswald, Germany) * 題目：Relative index theorems and analytic torsion for open manifolds * 日時：平成 21年 10月 5日（月）13:30〜14:30 [(DVI file)] For non-negative elliptic differential operators on closed manifolds, we have a well-established index theory and the notion of analytic torsion. On open manifolds, this becomes wrong since such operators must not have a finite dimensional kernel and cokernel and the spectrum must not be purely di…

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Anonymous (anonymous@undisclosed.example.com) — 2017-11-17T14:08:40+00:00

* 講演者熊ノ郷直人氏（工学院大学) * 題目：An introduction to Feynman path integrals by time slicing approximation I, II * 日時：平成 21年 10月 5日（月）I--14:45-15:30, II--15:45-16:30 [(DVI file)] Abstract : In 1948, R. P. Feynman expressed the fundamental solution of the Schrödinger equation in an integral form, now called a path integral. The path integral was a new integral taken on over all paths connecting two points in the configulation space. Feynman explained his new integral as a limit of finite dimens…

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Anonymous (anonymous@undisclosed.example.com) — 2017-11-17T14:12:44+00:00

* 講演者内山康一氏（上智大学) * 題目：On local solutions to a radical $p$-elliptic equation on $(0,\infty)$ * 日時：平成 21年 10月 5日（月）16:40-17:30 [(DVI file)] Reviewing power series description of analytic singularities of local solutions to a radial $p$-Laplace equation near a point $\sigma$ in $(0, \infty)$, I will discuss power series construction of solutions $U

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Anonymous (anonymous@undisclosed.example.com) — 2017-11-17T14:18:19+00:00

* 講演者本間泰史氏（早稲田大学) * 題目：Rarita-Schwinger operator and harmonic polynomials * 日時：平成 21年 10月 6日（火）10:15-11:00 [(DVI file)] The Dirac operator is the first order differential operator acting on $1/2$-spinor fields. It has many useful applications in geometry, global analysis, harmonic analysis, and physics. We can generalize the Dirac operator to the first order operators on other spinor fields with higher spin. For example, the operator on $3/2$-spinor fields is called the Rarita-S…

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Anonymous (anonymous@undisclosed.example.com) — 2017-11-17T14:26:28+00:00

* 講演者 Bernhelm Booss Bavnbek 氏（Roskilde University, Denmark) * 題目：Continuous Variation of Cauchy Data Spaces * 日時：平成 21年 10月 6日（火）11:15-12:15 [(DVI file)] Generalizing approaches due to M. Morse and A. Floer, there have been various formulas expressing the spectral flow of a curve of selfadjoint elliptic operators, typically of Dirac operator type, on a partitioned manifold by the Maslov index of the induced curve of Cauchy data spaces along the separating hypersurface. In this talk, w…

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Anonymous (anonymous@undisclosed.example.com) — 2017-11-17T14:26:03+00:00

* 講演者立川篤氏（東京理科大学理工学部) * 題目：Existence and regularity of a weakly harmonic map into a Finsler space with a special structure * 日時：平成 21年 10月 6日（火）13:45-14:30 [(DVI file)] In this talk we treat the existence and interior Hölder regularity of an energy minimizing weakly harmonic map from a $m$-dimensional Riemannian manifold $(M,g)$ into a $n$-dimensional Finsler space $(N,F)$ which is given as a modification of a Riemannian manifold $(N,h)$.…

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Anonymous (anonymous@undisclosed.example.com) — 2017-11-17T14:29:06+00:00

* 講演者：岩崎千里氏（兵庫県立大学) * 題目：Construction of the fundamental solution and a local index * 日時：平成 21年 10月 6日（火）14:45-15:30 I will show a local version of Gauss-Bonnet-Chern theorem on Riemannian manifolds with boundary and its generalization are obtained by construction of the fundamental solution as follows: The fundamental solution for initial-boundary problem is constructed by symbolic calculus of pseudo-differential operators, if we introduce a new weight for symbols.…

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Anonymous (anonymous@undisclosed.example.com) — 2017-11-17T14:32:12+00:00

* 講演者： Wolfram Bauer 氏（Ernst-Moritz-Arndt Universität Greifswald, Germany) * 題目：Spectral zeta function for certain classes of manifolds and its analytic continuation * 日時：平成 21年 10月 6日（火）15:45-16:30

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Anonymous (anonymous@undisclosed.example.com) — 2017-11-17T14:34:13+00:00

* 講演者：神本晋吾氏（東京大学大学院数理科学研究科) * 題目：On a Schrödinger operator with a merging pair of a simple pole and a simple turning point * 日時：平成 21年 10月 6日（火）16:45-17:30 We talk about the transformation of a Schrödinger equation with a merging pair of a simple pole and a simple turning point (an MPPT equation, for short) to its canonical form and some properties of its WKB solutions. This is a joint work with T. Kawai (Kyoto univ.), T. Koike (Kobe univ.) and Y. Takei (Kyoto univ.).…

(旧)理工学部 数学科 - colloquium:2009