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Tuesday Seminar of Analysis
Seminar information archive ～10/10｜Next seminar｜Future seminars 10/11～
| Date, time & place | Tuesday 16:00 - 17:30 156Room #156 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | ISHIGE Kazuhiro, SAKAI Hidetaka, ITO Kenichi |
Seminar information archive
2008/01/22
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Serge Richard (Univ. Lyon 1)
Magnetic Schroedinger operators and twisted crossed product
Serge Richard (Univ. Lyon 1)
Magnetic Schroedinger operators and twisted crossed product
[ Abstract ]
During this seminar, we shall study spectral properties of generalized
magnetic Schroedinger operators H(B,V) with anisotropic magnetic field B
and scalar potential V. The essential spectrum of such operators is
expressed as a union of spectra of some asymptotic operators supported by
the quasi-orbits of a suitable dynamical system. A localization property
of the functional calculus of H(B,V) will also be presented. It directly
implies a non-propagation result for the unitary group generated by this
operator. The proofs rely on the use of twisted crossed product
C*-algebras. Twisted dynamical systems and their corresponding algebras
will be introduced and the natural link with magnetic Schroedinger
operators will be clearly established.
During this seminar, we shall study spectral properties of generalized
magnetic Schroedinger operators H(B,V) with anisotropic magnetic field B
and scalar potential V. The essential spectrum of such operators is
expressed as a union of spectra of some asymptotic operators supported by
the quasi-orbits of a suitable dynamical system. A localization property
of the functional calculus of H(B,V) will also be presented. It directly
implies a non-propagation result for the unitary group generated by this
operator. The proofs rely on the use of twisted crossed product
C*-algebras. Twisted dynamical systems and their corresponding algebras
will be introduced and the natural link with magnetic Schroedinger
operators will be clearly established.
2008/01/08
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Nikolay Tzvetkov (Lille大学)
On the restrictions of Laplace-Beltrami eigenfunctions to curves
Nikolay Tzvetkov (Lille大学)
On the restrictions of Laplace-Beltrami eigenfunctions to curves
2008/01/06
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
青木 貴史 (近畿大理工)
野海・山田方程式系のWKB解に付随する幾何的構造
青木 貴史 (近畿大理工)
野海・山田方程式系のWKB解に付随する幾何的構造
[ Abstract ]
本多尚文氏、梅田陽子氏との共同研究
本多尚文氏、梅田陽子氏との共同研究
2007/12/25
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Gregory Eskin (UCLA)
Inverse boundary value problems for the Schrodinger equation with time-dependent electromagnetic potentials and the Aharonov-Bohm effect
Gregory Eskin (UCLA)
Inverse boundary value problems for the Schrodinger equation with time-dependent electromagnetic potentials and the Aharonov-Bohm effect
[ Abstract ]
We consider the determination of the time-dependent magnetic and electric potentials (modulo gauge transforamtions) by the boundary measurements in domains with obstacles. We use the geometric optics and the tomography of broken rays. The presence of the obstacles leads to the Aharonov-Bohm effect caused by the magnetic and electric fluxes.
We consider the determination of the time-dependent magnetic and electric potentials (modulo gauge transforamtions) by the boundary measurements in domains with obstacles. We use the geometric optics and the tomography of broken rays. The presence of the obstacles leads to the Aharonov-Bohm effect caused by the magnetic and electric fluxes.
2007/11/27
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
小松 彦三郎 (東大数理(名誉教授))
Heaviside's theory of signal transmission on submarine cables
小松 彦三郎 (東大数理(名誉教授))
Heaviside's theory of signal transmission on submarine cables
2007/10/23
17:00-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Fr\'{e}d\'{e}ric Klopp (パリ北大学)
Localization for random quantum graphs (joint with K. Pankrashkin)
Fr\'{e}d\'{e}ric Klopp (パリ北大学)
Localization for random quantum graphs (joint with K. Pankrashkin)
2007/06/19
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
堤 誉志雄 (京都大学理学研究科)
Unconditional uniqueness of solution for the Cauchy problem of the nonlinear Schr\\"odinger equation
堤 誉志雄 (京都大学理学研究科)
Unconditional uniqueness of solution for the Cauchy problem of the nonlinear Schr\\"odinger equation
2007/05/15
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
宮尾 忠宏 (岡山大自然科学研究科 学振特別研究員 )
量子電磁場中を運動する原子の安定性について
宮尾 忠宏 (岡山大自然科学研究科 学振特別研究員 )
量子電磁場中を運動する原子の安定性について
2007/05/01
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
下村 明洋 (学習院大理学部)
非線型シュレディンガー方程式の解の長時間挙動について
下村 明洋 (学習院大理学部)
非線型シュレディンガー方程式の解の長時間挙動について
2007/04/17
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
小薗 英雄 (東北大学・大学院理学研究科)
Some $L^r$-decomposition of $3D$-vector fields and its application to the stationary Navier-Stokes equations in multi-connected domains.
小薗 英雄 (東北大学・大学院理学研究科)
Some $L^r$-decomposition of $3D$-vector fields and its application to the stationary Navier-Stokes equations in multi-connected domains.
2007/02/20
16:30-18:00 Room #117 (Graduate School of Math. Sci. Bldg.)
Patrick G¥'erard (パリ南大学)
On the dynamics of the Gross-Pitaevskii equation
Patrick G¥'erard (パリ南大学)
On the dynamics of the Gross-Pitaevskii equation
