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過去の記録
過去の記録 ～01/14｜本日 01/15 | 今後の予定 01/16～
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 126号室
米田 剛 氏 (東京大学大学院数理科学研究科)
On the Navier-Stokes equations in a rotating frame and the functional-differential equations of advanced type - a Fourier analysis approach(フーリエ解析的手法による回転場内の流体方程式と進み型関数微分方程式の考察)
米田 剛 氏 (東京大学大学院数理科学研究科)
On the Navier-Stokes equations in a rotating frame and the functional-differential equations of advanced type - a Fourier analysis approach(フーリエ解析的手法による回転場内の流体方程式と進み型関数微分方程式の考察)
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 128号室
野田 秀明 氏 (東京大学大学院数理科学研究科)
Short time asymptotic behavior and large deviations for Brownian motion on scale irregular Sierpinski gaskets(非正規なシェルピンスキーガスケット上のブラウン運動に対する熱核の短時間漸近挙動と大偏差原理)
野田 秀明 氏 (東京大学大学院数理科学研究科)
Short time asymptotic behavior and large deviations for Brownian motion on scale irregular Sierpinski gaskets(非正規なシェルピンスキーガスケット上のブラウン運動に対する熱核の短時間漸近挙動と大偏差原理)
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 128号室
河内 一樹 氏 (東京大学大学院数理科学研究科)
Rumor Transmission Models and Persistence Analysis(流言伝播モデルとパーシステンス解析)
河内 一樹 氏 (東京大学大学院数理科学研究科)
Rumor Transmission Models and Persistence Analysis(流言伝播モデルとパーシステンス解析)
博士論文発表会
14:15-15:30 数理科学研究科棟(駒場) 128号室
川上 拓志 氏 (東京大学大学院数理科学研究科)
Generalized Okubo systems and the middle convolution(一般大久保型方程式とミドルコンボルーション)
川上 拓志 氏 (東京大学大学院数理科学研究科)
Generalized Okubo systems and the middle convolution(一般大久保型方程式とミドルコンボルーション)
GCOEセミナー
16:15-17:00 数理科学研究科棟(駒場) 370号室
G. Yuan 氏 (Northeast Normal Univ.)
Inverse problems and observability inequalities for plate equations and Schrodinger equations.
G. Yuan 氏 (Northeast Normal Univ.)
Inverse problems and observability inequalities for plate equations and Schrodinger equations.
[ 講演概要 ]
In this talk, we will present some results on inverse problems and observability inequalities for some plate and Schrodinger equaions by using several kinds of Carleman estimates.
In this talk, we will present some results on inverse problems and observability inequalities for some plate and Schrodinger equaions by using several kinds of Carleman estimates.
2009年02月05日(木)
講演会
17:00-18:30 数理科学研究科棟(駒場) 117号室
Freddy DELBAEN 氏 (チューリッヒ工科大学名誉教授)
Introduction to Coherent Risk Measure
Freddy DELBAEN 氏 (チューリッヒ工科大学名誉教授)
Introduction to Coherent Risk Measure
応用解析セミナー
16:00-17:30 数理科学研究科棟(駒場) 002号室
Jin CHENG (程 晋) 氏 (復旦大学)
Heat transfer in composite materials with Stenfen-Boltzmann conditions and related inverse problems
Jin CHENG (程 晋) 氏 (復旦大学)
Heat transfer in composite materials with Stenfen-Boltzmann conditions and related inverse problems
[ 講演概要 ]
In this talk, we will present our recent results on the mathematical model of the heat transfer in the composite materials. The related inverse problems are discussed. The numerical results show our methods are effective.
In this talk, we will present our recent results on the mathematical model of the heat transfer in the composite materials. The related inverse problems are discussed. The numerical results show our methods are effective.
博士論文発表会
15:45-17:00 数理科学研究科棟(駒場) 118号室
GOMBODORJ BAYARMAGNAI 氏 (東京大学大学院数理科学研究科)
THE(g,K)-MODULE STRUCTURE OF PRINCIPAL SERIES AND RELATED WHITTAKER FUNCTIONS OF SU(2,2)(SU(2,2)の主系列の(g,K)-加群構造と関連するWHITTAKER関数)
GOMBODORJ BAYARMAGNAI 氏 (東京大学大学院数理科学研究科)
THE(g,K)-MODULE STRUCTURE OF PRINCIPAL SERIES AND RELATED WHITTAKER FUNCTIONS OF SU(2,2)(SU(2,2)の主系列の(g,K)-加群構造と関連するWHITTAKER関数)
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 126号室
関 行宏 氏 (東京大学大学院数理科学研究科)
On behavior of solutions near singularities for nonlinear diffusion equations(非線形拡散方程式の特異点近くでの解の挙動)
関 行宏 氏 (東京大学大学院数理科学研究科)
On behavior of solutions near singularities for nonlinear diffusion equations(非線形拡散方程式の特異点近くでの解の挙動)
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 126号室
山﨑 智裕 氏 (東京大学大学院数理科学研究科)
Inverse Problems Related with Non-symmetric Operators and Inverse Problem for One-dimensional Fractional Partial Differential Equation(非対称作用素に関する逆問題と1次元非整数階偏微分方程式に関する逆問題)
山﨑 智裕 氏 (東京大学大学院数理科学研究科)
Inverse Problems Related with Non-symmetric Operators and Inverse Problem for One-dimensional Fractional Partial Differential Equation(非対称作用素に関する逆問題と1次元非整数階偏微分方程式に関する逆問題)
博士論文発表会
14:15-15:30 数理科学研究科棟(駒場) 126号室
坂本 健一 氏 (東京大学大学院数理科学研究科)
Inverse Source Problems for diffusion Equations and Fractional Diffusion Equations(拡散方程式及び非整数階拡散方程式に対するソース項決定逆問題)
坂本 健一 氏 (東京大学大学院数理科学研究科)
Inverse Source Problems for diffusion Equations and Fractional Diffusion Equations(拡散方程式及び非整数階拡散方程式に対するソース項決定逆問題)
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 128号室
劉 雪峰 氏 (東京大学大学院数理科学研究科)
Analysis of error constants for linear conforming and nonconforming finite elements(適合および非適合1次有限要素の誤差定数の解析)
劉 雪峰 氏 (東京大学大学院数理科学研究科)
Analysis of error constants for linear conforming and nonconforming finite elements(適合および非適合1次有限要素の誤差定数の解析)
2009年02月04日(水)
統計数学セミナー
15:00-16:10 数理科学研究科棟(駒場) 128号室
三浦 良造 氏 (一橋大学国際企業戦略研究科)
Non-Parametric Statistics for a partial sums of iid observations: New Trials
https://www.ms.u-tokyo.ac.jp/~kengok/statseminar/2008/13.html
三浦 良造 氏 (一橋大学国際企業戦略研究科)
Non-Parametric Statistics for a partial sums of iid observations: New Trials
[ 講演概要 ]
I would lke to review Alpha- quantiles and Ranks with "Empirical Distributions" defined on partial sums of iid. observations discussed in the time continuous version (Brownian Motion).. Then revisiting the formulation of classical estimand and estimators for iid observations , described for example in Fillipova's paper, I would lik,e to discuss on what we could do for our partial sums of iid observations in orde to define our non-parametric estimators and estimands. I will be talking only on the ideas, but mathematical proofs will not be provided.
[ 参考URL ]I would lke to review Alpha- quantiles and Ranks with "Empirical Distributions" defined on partial sums of iid. observations discussed in the time continuous version (Brownian Motion).. Then revisiting the formulation of classical estimand and estimators for iid observations , described for example in Fillipova's paper, I would lik,e to discuss on what we could do for our partial sums of iid observations in orde to define our non-parametric estimators and estimands. I will be talking only on the ideas, but mathematical proofs will not be provided.
https://www.ms.u-tokyo.ac.jp/~kengok/statseminar/2008/13.html
統計数学セミナー
16:20-17:30 数理科学研究科棟(駒場) 128号室
深澤 正彰 氏 (大阪大学 金融・保険教育研究センター)
Black-Scholes 周りの摂動展開について(前半)/ 確率積分の離散化誤差について(後半)
https://www.ms.u-tokyo.ac.jp/~kengok/statseminar/2008/14.html
深澤 正彰 氏 (大阪大学 金融・保険教育研究センター)
Black-Scholes 周りの摂動展開について(前半)/ 確率積分の離散化誤差について(後半)
[ 講演概要 ]
(前半)確率ボラティリティモデルに対して知られている, Black-Scholes モデル周りでの各種摂動展開が統一的にマルチンゲール展開の理論によって 厳密に正当化かつ一般化されることを示す. またとくに拡散過程モデルに 対しては再生法を用いてより精密な結果を与える.
(後半)確率積分の近似として, 増大停止時刻列による区間分割 Riemann 和 をとったとき, その近似誤差の漸近分布を与える. ファイナンスへの応用とし てデルタヘッジエラーを解析し, 取引費用を考慮した上で漸近的に平均2乗誤 差を最小化する戦略を定義する.
[ 参考URL ](前半)確率ボラティリティモデルに対して知られている, Black-Scholes モデル周りでの各種摂動展開が統一的にマルチンゲール展開の理論によって 厳密に正当化かつ一般化されることを示す. またとくに拡散過程モデルに 対しては再生法を用いてより精密な結果を与える.
(後半)確率積分の近似として, 増大停止時刻列による区間分割 Riemann 和 をとったとき, その近似誤差の漸近分布を与える. ファイナンスへの応用とし てデルタヘッジエラーを解析し, 取引費用を考慮した上で漸近的に平均2乗誤 差を最小化する戦略を定義する.
https://www.ms.u-tokyo.ac.jp/~kengok/statseminar/2008/14.html
講演会
16:00-17:30 数理科学研究科棟(駒場) 002号室
GCOE 特別講演会
Bendong LOU (婁 本東) 氏 (同済大学)
Traveling waves of a curvature flow in almost periodic media
GCOE 特別講演会
Bendong LOU (婁 本東) 氏 (同済大学)
Traveling waves of a curvature flow in almost periodic media
[ 講演概要 ]
In a plane media with almost periodic vertical striations, we study a curvature flow and construct two kinds of traveling waves, one having a straight line like profile and the other having a V shaped profile. For each of the first kind of traveling waves, its profile is the graph of a function whose derivative is almost periodic. For each of the second kind of traveling waves, its profile is like a pulsating cone, with tails asymptotically approach the first kind of traveling waves.
Also we consider a homogenization problem and provide an explicit formula for the homogenized traveling speed.
This is joint work with Xinfu Chen.
In a plane media with almost periodic vertical striations, we study a curvature flow and construct two kinds of traveling waves, one having a straight line like profile and the other having a V shaped profile. For each of the first kind of traveling waves, its profile is the graph of a function whose derivative is almost periodic. For each of the second kind of traveling waves, its profile is like a pulsating cone, with tails asymptotically approach the first kind of traveling waves.
Also we consider a homogenization problem and provide an explicit formula for the homogenized traveling speed.
This is joint work with Xinfu Chen.
統計数学セミナー
13:40-14:50 数理科学研究科棟(駒場) 128号室
Stefano Maria Iacus 氏 (Universita degli Studi di Milano)
Applications of Iterated Function Systems to Inference and Simulation
https://www.ms.u-tokyo.ac.jp/~kengok/statseminar/2008/12.html
Stefano Maria Iacus 氏 (Universita degli Studi di Milano)
Applications of Iterated Function Systems to Inference and Simulation
[ 講演概要 ]
The Iterated Function Systems (IFSs) were born in mid eighties as applications of the theory of discrete dynamical systems and as useful tools for buildings fractals and other similar sets or to produce image compression algorithms. The fundamental result on which the IFS method is based is the Banach contraction theorem because IFSs are defined as operators with some contractive property. In practical applications the crucial point is to solve the inverse problem: given an element f in some metric space (S,d), find a contraction T:S -> S that admits a unique fixed point p such that d(f,p)< eps. When eps=0 the inverse problem is solved exactly and the fixed point p can be identified with the operator T, but in most cases T is an approximation of the target f and T takes linear forms. We present applications of the IFS technique to the problem of estimation of distribution and density functions and to the simulation of L2 stochastic processes.
[ 参考URL ]The Iterated Function Systems (IFSs) were born in mid eighties as applications of the theory of discrete dynamical systems and as useful tools for buildings fractals and other similar sets or to produce image compression algorithms. The fundamental result on which the IFS method is based is the Banach contraction theorem because IFSs are defined as operators with some contractive property. In practical applications the crucial point is to solve the inverse problem: given an element f in some metric space (S,d), find a contraction T:S -> S that admits a unique fixed point p such that d(f,p)< eps. When eps=0 the inverse problem is solved exactly and the fixed point p can be identified with the operator T, but in most cases T is an approximation of the target f and T takes linear forms. We present applications of the IFS technique to the problem of estimation of distribution and density functions and to the simulation of L2 stochastic processes.
https://www.ms.u-tokyo.ac.jp/~kengok/statseminar/2008/12.html
2009年02月03日(火)
Lie群論・表現論セミナー
16:30-18:00 数理科学研究科棟(駒場) 126号室
Gombodorj Bayarmagnai 氏 (東京大学数理科学研究科)
The (g,K)-module structure of principal series and related Whittaker functions of SU(2,2)
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html
Gombodorj Bayarmagnai 氏 (東京大学数理科学研究科)
The (g,K)-module structure of principal series and related Whittaker functions of SU(2,2)
[ 講演概要 ]
In this talk the basic object will be the principal series representataion of $SU(2, 2)$,
parabolically induced by the minimal parabolic subgroup. We discuss about the $(\\mathfrak g,K)$-module structure on that type of principal series explicitely, and provide various integral expressions of some smooth Whittaker functions with certain $K$-types.
[ 参考URL ]In this talk the basic object will be the principal series representataion of $SU(2, 2)$,
parabolically induced by the minimal parabolic subgroup. We discuss about the $(\\mathfrak g,K)$-module structure on that type of principal series explicitely, and provide various integral expressions of some smooth Whittaker functions with certain $K$-types.
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html
2009年02月02日(月)
講演会
16:30-17:30 数理科学研究科棟(駒場) 123号室
Erwin Bolthausen 氏 (University of Zurich)
On a perceptron version of the Generalized Random Energy Model
Erwin Bolthausen 氏 (University of Zurich)
On a perceptron version of the Generalized Random Energy Model
2009年01月30日(金)
GCOEセミナー
16:15-17:15 数理科学研究科棟(駒場) 370号室
F. Cakoni 氏 (University of Delaware)
Faber-Krahn Type Inequalities in Inverse Scattering Theory
F. Cakoni 氏 (University of Delaware)
Faber-Krahn Type Inequalities in Inverse Scattering Theory
[ 講演概要 ]
We first consider the scattering of time harmonic plane waves by a perfectly conducting infinite cylinder of cross section D. We observe that the Dirichlet eigenvalues for the Laplacian in D can be determined from the far field pattern of the scattered wave and hence from the Faber-Krahn inequality we can obtain a lower bound for the area of D. We then consider the corresponding problem for a dielectric medium. Here we observe that a relatively new type of spectra called transmission eigenvalues can be determined from the far field pattern of the scattered wave and show that transmission eigenvalues exist and form a discrete set. We then obtain a Faber-Krahn type inequality for transmission eigenvalues which, if D is known, provide a lower bound on the index of refraction n(x). Of special interest is the case when cavities may be present,i.e. regions where n(x)=1.We consider both isotropic and anisotropic materials.
We first consider the scattering of time harmonic plane waves by a perfectly conducting infinite cylinder of cross section D. We observe that the Dirichlet eigenvalues for the Laplacian in D can be determined from the far field pattern of the scattered wave and hence from the Faber-Krahn inequality we can obtain a lower bound for the area of D. We then consider the corresponding problem for a dielectric medium. Here we observe that a relatively new type of spectra called transmission eigenvalues can be determined from the far field pattern of the scattered wave and show that transmission eigenvalues exist and form a discrete set. We then obtain a Faber-Krahn type inequality for transmission eigenvalues which, if D is known, provide a lower bound on the index of refraction n(x). Of special interest is the case when cavities may be present,i.e. regions where n(x)=1.We consider both isotropic and anisotropic materials.
GCOEセミナー
15:10-16:10 数理科学研究科棟(駒場) 370号室
Lucie Baudouin 氏 (LAAS-CNRS groupe MAC)
Use of Carleman estimates for stability in some inverse problems
Lucie Baudouin 氏 (LAAS-CNRS groupe MAC)
Use of Carleman estimates for stability in some inverse problems
[ 講演概要 ]
In this presentation, we shall present how global Carleman inequalities can be used to prove the well-posedness of inverse problems related to various partial differential equations. This lecture will gather joint works with J.-P. Puel, A. Osses and A. Mercado. We focus here on stability results for the determination of potential from Neumann boundary measurements by using the Bukhgeim-Klibanov method. We will begin with the simplest models: the Schrodinger and wave equations, and then present some more recent results for transmission problems (same equations with discontinuous main coefficient).
In this presentation, we shall present how global Carleman inequalities can be used to prove the well-posedness of inverse problems related to various partial differential equations. This lecture will gather joint works with J.-P. Puel, A. Osses and A. Mercado. We focus here on stability results for the determination of potential from Neumann boundary measurements by using the Bukhgeim-Klibanov method. We will begin with the simplest models: the Schrodinger and wave equations, and then present some more recent results for transmission problems (same equations with discontinuous main coefficient).
2009年01月29日(木)
応用解析セミナー
16:00-17:30 数理科学研究科棟(駒場) 002号室
千葉 逸人 氏 (京都大学 情報学研究科)
Extension and Unification of Singular Perturbation Methods for ODE's Based on the Renormalization Gourp Method
千葉 逸人 氏 (京都大学 情報学研究科)
Extension and Unification of Singular Perturbation Methods for ODE's Based on the Renormalization Gourp Method
[ 講演概要 ]
くりこみ群の方法は微分方程式に対する特異摂動法の一種であり,多重尺度法、平均化法、normal forms, 中心多様体縮約、位相縮約、WKB解析などの古くから知られる摂動法を統一的に扱うことができる.ここではくりこみ群の方法を数学的定式化を与え,結合振動子系などへのいくつかの応用も紹介したい.
くりこみ群の方法は微分方程式に対する特異摂動法の一種であり,多重尺度法、平均化法、normal forms, 中心多様体縮約、位相縮約、WKB解析などの古くから知られる摂動法を統一的に扱うことができる.ここではくりこみ群の方法を数学的定式化を与え,結合振動子系などへのいくつかの応用も紹介したい.
2009年01月28日(水)
GCOE社会数理講演シリーズ
16:20-17:50 数理科学研究科棟(駒場) 122号室
講演曜日・場所が通常と異なりますのでご注意ください
吉野 伸 氏 (東京電力)
電場による配管損傷評価法について
講演曜日・場所が通常と異なりますのでご注意ください
吉野 伸 氏 (東京電力)
電場による配管損傷評価法について
代数学コロキウム
16:30-17:30 数理科学研究科棟(駒場) 056号室
Pierre Colmez 氏 (École polytechnique)
On the p-adic local Langlands correspondence
Pierre Colmez 氏 (École polytechnique)
On the p-adic local Langlands correspondence
2009年01月27日(火)
トポロジー火曜セミナー
17:00-18:00 数理科学研究科棟(駒場) 056号室
Tea: 16:40 - 17:00 コモンルーム
深谷 賢治 氏 (京都大学大学院理学研究科)
Lagrangian Floer homology and quasi homomorphism
from the group of Hamiltonian diffeomorphism
Tea: 16:40 - 17:00 コモンルーム
深谷 賢治 氏 (京都大学大学院理学研究科)
Lagrangian Floer homology and quasi homomorphism
from the group of Hamiltonian diffeomorphism
[ 講演概要 ]
Entov-Polterovich constructed quasi homomorphism
from the group of Hamiltonian diffeomorphisms using
spectral invariant due to Oh etc.
In this talk I will explain a way to study this
quasi homomorphism by using Lagrangian Floer homology.
I will also explain its generalization to use quantum
cohomology with bulk deformation.
When applied to the case of toric manifold, it
gives an example where (infinitely) many quasi homomorphism
exists.
(Joint work with Oh-Ohta-Ono).
Entov-Polterovich constructed quasi homomorphism
from the group of Hamiltonian diffeomorphisms using
spectral invariant due to Oh etc.
In this talk I will explain a way to study this
quasi homomorphism by using Lagrangian Floer homology.
I will also explain its generalization to use quantum
cohomology with bulk deformation.
When applied to the case of toric manifold, it
gives an example where (infinitely) many quasi homomorphism
exists.
(Joint work with Oh-Ohta-Ono).
2009年01月26日(月)
複素解析幾何セミナー
10:30-12:00 数理科学研究科棟(駒場) 128号室
高山 茂晴 氏 (東大数理)
高次順像層のホッジ計量の正値性
高山 茂晴 氏 (東大数理)
高次順像層のホッジ計量の正値性
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