FMSPレクチャーズ

過去の記録 ~02/20次回の予定今後の予定 02/21~

担当者 河野俊丈

過去の記録

2018年01月25日(木)

15:00-16:30   数理科学研究科棟(駒場) 002号室
Norbert A'Campo 氏 (University of Basel)
NUMERICAL ANALYSIS, COBORDISM OF MANIFOLDS AND MONODROMY. (ENGLISH)
[ 講演概要 ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_ACampo_abst.pdf
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_ACampo.pdf

2018年01月16日(火)

10:30-11:30   数理科学研究科棟(駒場) 056号室
FMSP Tokyo-Princeton joint student seminar
Federico Pasqualotto 氏 (Princeton) -
Large data global solutions for the shallow water system in one space dimension
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSP_180116.pdf
Naoto Kaziwara 氏 (U. Tokyo) -
Introduction to the maximal Lp-regularity and its applications to the quasi-linear parabolic equations
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSP_180116.pdf

2017年12月13日(水)

17:00-17:45   数理科学研究科棟(駒場) 470号室
Anar Rahimov 氏 (The Institute of Control Systems of ANAS and Baku State University)
An approach to numerical solution to inverse source problems with nonlocal conditions (ENGLISH)
[ 講演概要 ]
We consider two inverse source problems for a parabolic equation under nonlocal, final, and boundary conditions. A numerical method is proposed to solve the inverse source problems, which is based on the use of the method of lines. The initial problems are reduced to a system of ordinary differential equations with unknown parameters. To solve this system, we propose an approach based on the sweep method type. We present the results of numerical experiments on test problems. This is joint work with Prof. K. Aida-zade.
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Rahimov.pdf

2017年11月06日(月)

17:00-18:00   数理科学研究科棟(駒場) 118号室
V. G. Romanov 氏 (Sobolev Institute of Mathematics)
Phaseless inverse problems for Maxwell equations (ENGLISH)
[ 講演概要 ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Romanov2.pdf
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Romanov2.pdf

2017年10月31日(火)

16:00-17:00   数理科学研究科棟(駒場) 118号室
V. G. Romanov 氏 (Sobolev Institute of Mathematics)
Some Geometric Aspects in Inverse Problems (ENGLISH)
[ 講演概要 ]
We consider inverse problems related to recovering coefficients in partial differential equations of the second order. It is supposed that some measurements of solutions to direct problems are produced on convenient sets. A study of some inverse problems for hyperbolic equations leads to geometric problems: recovering a function from its integrals along geodesic lines of the Riemannian metric or recovering the Riemannian metric inside a domain from given distances between arbitrary points of the domain boundary. Our main goal here is to demonstrate how such geometric problems arise for equations of parabolic and elliptic types.
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Romanov.pdf

2017年03月22日(水)

13:00-   数理科学研究科棟(駒場) 117号室
Ian Grojnowski 氏 (University of Cambridge)
Lecture 1: Derived symplectic varieties and the Darboux theorem.
Lecture 2: The moduli of anti-canonically marked del Pezzo surfaces. (ENGLISH)
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Grojnowski.pdf

2017年02月23日(木)

13:30-15:00   数理科学研究科棟(駒場) 122号室
富安 亮子 氏 (山形大学理学部)
結晶学, 量子ビーム科学分野との連携の中で見たこと, 考えたこと (JAPANESE)
[ 講演概要 ]
結晶学は、結晶を含む固体材料の構造を中心的に扱う学術領域であり、X線・中性子線・電子線等に関わる量子ビーム科学分野から様々な基盤技術が提供されている。
得られた実験データの解析に用いられる様々な手法やソフトウェア、加えて、より一般に結晶構造の記述に関係する議論は、数理結晶学とも呼ばれ、数学者にとっては比較的入りやすい。
話者がこの分野に参入した直接のきっかけは、応用代数分野とよく類似した様々な問題が残っていたことであるので、その辺の数学の話を主に紹介する。得られた定理は、観測誤差を伴うデータ処理において、数学の厳密さをどのように解析アルゴリズムの成功率に反映させるかという問題に直結するもので、話者や高エネ研が配布している結晶学ソフトウェアの基盤となっている。
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_tomiyasu.pdf

2016年11月25日(金)

10:25-12:10   数理科学研究科棟(駒場) 126号室
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry V (ENGLISH)
[ 講演概要 ]
Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf

2016年11月21日(月)

10:25-12:10   数理科学研究科棟(駒場) 126号室
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry IV (ENGLISH)
[ 講演概要 ]
Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf

2016年11月18日(金)

10:25-12:10   数理科学研究科棟(駒場) 126号室
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry III (ENGLISH)
[ 講演概要 ]
Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf

2016年11月16日(水)

10:25-12:10   数理科学研究科棟(駒場) 128号室
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry II (ENGLISH)
[ 講演概要 ]
Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf

2016年11月14日(月)

10:25-12:10   数理科学研究科棟(駒場) 126号室
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry I (ENGLISH)
[ 講演概要 ]
Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf

2016年11月10日(木)

10:30-11:30   数理科学研究科棟(駒場) 128号室
Piotr Rybka 氏 (the University of Warsaw)
The BV space in variational and evolution problems (9) (ENGLISH)
[ 講演概要 ]
http://www.ms.u-tokyo.ac.jp/kyoumu/docs/20160907.pdf を参照
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Rybka.pdf

2016年11月10日(木)

13:15-14:15   数理科学研究科棟(駒場) 128号室
Piotr Rybka 氏 (the University of Warsaw)
The BV space in variational and evolution problems (10) (ENGLISH)
[ 講演概要 ]
http://www.ms.u-tokyo.ac.jp/kyoumu/docs/20160907.pdf を参照
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Rybka.pdf

2016年11月09日(水)

10:30-11:30   数理科学研究科棟(駒場) 128号室
Piotr Rybka 氏 (the University of Warsaw)
The BV space in variational and evolution problems (7) (ENGLISH)
[ 講演概要 ]
http://www.ms.u-tokyo.ac.jp/kyoumu/docs/20160907.pdf を参照
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Rybka.pdf

2016年11月09日(水)

13:15-14:15   数理科学研究科棟(駒場) 128号室
Piotr Rybka 氏 (the University of Warsaw)
The BV space in variational and evolution problems (8) (ENGLISH)
[ 講演概要 ]
http://www.ms.u-tokyo.ac.jp/kyoumu/docs/20160907.pdf を参照
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Rybka.pdf

2016年11月09日(水)

17:00-18:00   数理科学研究科棟(駒場) 118号室
Oleg Emanouilov 氏 (Colorado State University)
Conditional stability in Gelfand-Levitan problem (ENGLISH)
[ 講演概要 ]
We consider the Laplace-Beltrami operator in the bounded domain on the plane.
The eigenvalues and the traces of the eigenfunctions on part of the boundary are given.
We obtain the double logarithmic stability for the determination of metric up to the gauge equivalence.
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Emanouilov161109.pdf

2016年11月08日(火)

10:30-11:30   数理科学研究科棟(駒場) 128号室
Piotr Rybka 氏 (the University of Warsaw)
The BV space in variational and evolution problems (5) (ENGLISH)
[ 講演概要 ]
http://www.ms.u-tokyo.ac.jp/kyoumu/docs/20160907.pdf を参照
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Rybka.pdf

2016年11月08日(火)

13:15-14:15   数理科学研究科棟(駒場) 128号室
Piotr Rybka 氏 (the University of Warsaw)
The BV space in variational and evolution problems (6) (ENGLISH)
[ 講演概要 ]
http://www.ms.u-tokyo.ac.jp/kyoumu/docs/20160907.pdf を参照
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Rybka.pdf

2016年11月04日(金)

10:30-11:30   数理科学研究科棟(駒場) 128号室
Piotr Rybka 氏 (the University of Warsaw)
The BV space in variational and evolution problems (3) (ENGLISH)
[ 講演概要 ]
http://www.ms.u-tokyo.ac.jp/kyoumu/docs/20160907.pdf を参照
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Rybka.pdf

2016年11月04日(金)

13:00-14:00   数理科学研究科棟(駒場) 128号室
Piotr Rybka 氏 (the University of Warsaw)
The BV space in variational and evolution problems (4) (ENGLISH)
[ 講演概要 ]
http://www.ms.u-tokyo.ac.jp/kyoumu/docs/20160907.pdf を参照
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Rybka.pdf

2016年11月01日(火)

10:30-11:30   数理科学研究科棟(駒場) 128号室
Piotr Rybka 氏 (the University of Warsaw)
The BV space in variational and evolution problems (1) (ENGLISH)
[ 講演概要 ]
http://www.ms.u-tokyo.ac.jp/kyoumu/docs/20160907.pdf を参照
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Rybka.pdf

2016年11月01日(火)

13:15-14:15   数理科学研究科棟(駒場) 128号室
Piotr Rybka 氏 (the University of Warsaw)
The BV space in variational and evolution problems (2) (ENGLISH)
[ 講演概要 ]
http://www.ms.u-tokyo.ac.jp/kyoumu/docs/20160907.pdf を参照
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Rybka.pdf

2016年09月26日(月)

16:00-17:30   数理科学研究科棟(駒場) 056号室
Murray Muraskin 氏 (University of North Dakota, Grand Forks)
Mathematical Aesthetic Principles and Nonintegrable Systems (ENGLISH)
[ 講演概要 ]
The discussion presents a study of a set of mathematical principles that can be classified as "aesthetic”and shows that these principles can be cast into a set of nonlinear equations. The system of equations is nonintegrable in general. New techniques to handle the nonintegrability feature are discussed. We then illustrate how this system of equations leads to sinusoidal solutions, sine within sine solutions, the phenomenon known as beats, random type oscillations, two and three dimensional lattices, as well as multi wave packet systems. The sinusoidal solutions occur when the arbitrary data associated with the equations causes the equations to be linearized. The sinusoidal behavior totally disappears once the integrability equations are satisfied, illustrating how important the nonintegrability concept is to the development.
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Muraskin.pdf

2016年08月12日(金)

15:00-16:00   数理科学研究科棟(駒場) 128号室
Eric Chung 氏 (Chinese Univ. of Hong Kong)
Multiscale simulations of waves and applications (ENGLISH)
[ 講演概要 ]
Numerical simulations of wave propagation in heterogeneous media are important in many applications such as seismic propagation and seismic inversion.
In this talk, we will present a new multiscale approach for seismic wave propagation.
The method is able to compute the solution with much fewer degrees of freedom compared with fine mesh simulation.
The idea is to capture the multiscale features of the solutions by carefully designed multiscale basis functions.
We will also present applications to inverse problems.
[ 講演参考URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Chung.pdf

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