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過去の記録 ～05/01｜本日 05/02 | 今後の予定 05/03～
2013年02月07日(木)
作用素環セミナー
16:30-18:00 数理科学研究科棟(駒場) 002号室
David Kerr 氏 (東大数理/Texas A&M Univ.)
Combinatorial independence, amenability, and sofic entropy (ENGLISH)
David Kerr 氏 (東大数理/Texas A&M Univ.)
Combinatorial independence, amenability, and sofic entropy (ENGLISH)
博士論文発表会
09:45-11:00 数理科学研究科棟(駒場) 118号室
加藤 直樹 氏 (東京大学大学院数理科学研究科)
Lie foliations transversely modeled on nilpotent Lie algebras（ベキ零リー環を横断構造に持つリー葉層構造について） (JAPANESE)
加藤 直樹 氏 (東京大学大学院数理科学研究科)
Lie foliations transversely modeled on nilpotent Lie algebras（ベキ零リー環を横断構造に持つリー葉層構造について） (JAPANESE)
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 118号室
國谷 紀良 氏 (東京大学大学院数理科学研究科)
Mathematical Analysis for Epidemic Models with Heterogeneity（非均質性を備える様々な感染症モデルの数理的解析） (JAPANESE)
國谷 紀良 氏 (東京大学大学院数理科学研究科)
Mathematical Analysis for Epidemic Models with Heterogeneity（非均質性を備える様々な感染症モデルの数理的解析） (JAPANESE)
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 118号室
宮谷 和尭 氏 (東京大学大学院数理科学研究科)
MONOMIAL DEFORMATIONS OF CERTAIN HYPERSURFACES AND TWO HYPERGEOMETRIC FUNCTIONS（ある種の超曲面の単項的変形と２種の超幾何函数） (JAPANESE)
宮谷 和尭 氏 (東京大学大学院数理科学研究科)
MONOMIAL DEFORMATIONS OF CERTAIN HYPERSURFACES AND TWO HYPERGEOMETRIC FUNCTIONS（ある種の超曲面の単項的変形と２種の超幾何函数） (JAPANESE)
博士論文発表会
14:15-15:30 数理科学研究科棟(駒場) 118号室
奥田 隆幸 氏 (Guraduate School of Mathematical Sciences the University of Tokyo)
Proper actions and designs on homogeneous spaces（等質空間上の固有な作用とデザイン） (JAPANESE)
奥田 隆幸 氏 (Guraduate School of Mathematical Sciences the University of Tokyo)
Proper actions and designs on homogeneous spaces（等質空間上の固有な作用とデザイン） (JAPANESE)
博士論文発表会
15:45-17:00 数理科学研究科棟(駒場) 118号室
近藤 健一 氏 (東京大学大学院数理科学研究科)
Symmetrized Max-Plus Algebra and Ultradiscrete sine-Gordon Equation（対称Max-Plus代数と超離散sine-Gordon方程式） (JAPANESE)
近藤 健一 氏 (東京大学大学院数理科学研究科)
Symmetrized Max-Plus Algebra and Ultradiscrete sine-Gordon Equation（対称Max-Plus代数と超離散sine-Gordon方程式） (JAPANESE)
博士論文発表会
09:45-11:00 数理科学研究科棟(駒場) 128号室
久本 智之 氏 (東京大学大学院数理科学研究科)
Asymptotic analysis of Bergman kernels for linear series and its application to Kahler Geometry（線形系に対するベルグマン核の漸近解析とケーラー幾何への応用について） (JAPANESE)
久本 智之 氏 (東京大学大学院数理科学研究科)
Asymptotic analysis of Bergman kernels for linear series and its application to Kahler Geometry（線形系に対するベルグマン核の漸近解析とケーラー幾何への応用について） (JAPANESE)
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 128号室
松本 佳彦 氏 (東京大学大学院数理科学研究科)
Asymptotically complex hyperbolic Einstein metrics and CR geometry（漸近的複素双曲アインシュタイン計量とCR幾何学） (JAPANESE)
松本 佳彦 氏 (東京大学大学院数理科学研究科)
Asymptotically complex hyperbolic Einstein metrics and CR geometry（漸近的複素双曲アインシュタイン計量とCR幾何学） (JAPANESE)
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 128号室
浅井 智朗 氏 (東京大学大学院数理科学研究科)
Analytic semigroup approach to higher order quasilinear parabolic problems（解析半群論の高階準線形放物型方程式への応用） (JAPANESE)
浅井 智朗 氏 (東京大学大学院数理科学研究科)
Analytic semigroup approach to higher order quasilinear parabolic problems（解析半群論の高階準線形放物型方程式への応用） (JAPANESE)
博士論文発表会
14:15-15:30 数理科学研究科棟(駒場) 128号室
三浦 真人 氏 (東京大学大学院数理科学研究科)
Hibi toric varieties and mirror symmetry（日比トーリック多様体とミラー対称性） (JAPANESE)
三浦 真人 氏 (東京大学大学院数理科学研究科)
Hibi toric varieties and mirror symmetry（日比トーリック多様体とミラー対称性） (JAPANESE)
博士論文発表会
15:45-17:00 数理科学研究科棟(駒場) 128号室
石田 智彦 氏 (東京大学大学院数理科学研究科)
Quasi-morphisms on the group of area-preserving diffeomorphisms of the 2-disk（2次元円板の面積保存微分同相群上の擬準同型） (JAPANESE)
石田 智彦 氏 (東京大学大学院数理科学研究科)
Quasi-morphisms on the group of area-preserving diffeomorphisms of the 2-disk（2次元円板の面積保存微分同相群上の擬準同型） (JAPANESE)
GCOEセミナー
17:00-18:30 数理科学研究科棟(駒場) 370号室
Asaf Iskandarov 氏 (Lenkaran State University)
Identification of quantum potentials in the Schrodinger equation (ENGLISH)
Asaf Iskandarov 氏 (Lenkaran State University)
Identification of quantum potentials in the Schrodinger equation (ENGLISH)
[ 講演概要 ]
In this lecture I will consider the identification problem of determining the unknown time-dependent coefficients of nonlinear Schrodinger equation.We applied the variational method and studied the correctness of direct and identification problems. We find a necessary condition of the solution and give a stable methed for solution.
In this lecture I will consider the identification problem of determining the unknown time-dependent coefficients of nonlinear Schrodinger equation.We applied the variational method and studied the correctness of direct and identification problems. We find a necessary condition of the solution and give a stable methed for solution.
統計数学セミナー
11:00-12:10 数理科学研究科棟(駒場) 006号室
FMSP Lecturesと共催.参加をご希望される方は鎌谷 (阪大基礎工); kamatani at sigmath.es.osaka-u.ac.jpまでご連絡ください.
Stefano M. Iacus 氏 (Dipartimento di Economia, Managemente Metodi Quantitativi Universita' di Milano)
On L^p model selection for discretely observed diffusion processes (JAPANESE)
http://www.sigmath.es.osaka-u.ac.jp/~kamatani/statseminar/2012/14.html
FMSP Lecturesと共催.参加をご希望される方は鎌谷 (阪大基礎工); kamatani at sigmath.es.osaka-u.ac.jpまでご連絡ください.
Stefano M. Iacus 氏 (Dipartimento di Economia, Managemente Metodi Quantitativi Universita' di Milano)
On L^p model selection for discretely observed diffusion processes (JAPANESE)
[ 講演概要 ]
The LASSO is a widely used L^2 statistical methodology for simultaneous estimation and variable selection. In the last years, many authors analyzed this technique from a theoretical and applied point of view. In the first part of the seminar, we introduce and study the adaptive LASSO problem for discretely observed ergodic diffusion processes We prove oracle properties also deriving the asymptotic distribution of the LASSO estimator. In the second part of the seminar we present general L^p approach for stochastic differential equations with small diffusion noise. Finally, we present simulated and real data analysis to provide some evidence on the applicability of this method.
FMSP Lectures
http://faculty.ms.u-tokyo.ac.jp/~fmsp/jpn/conferences/fmsp.html
[ 参考URL ]The LASSO is a widely used L^2 statistical methodology for simultaneous estimation and variable selection. In the last years, many authors analyzed this technique from a theoretical and applied point of view. In the first part of the seminar, we introduce and study the adaptive LASSO problem for discretely observed ergodic diffusion processes We prove oracle properties also deriving the asymptotic distribution of the LASSO estimator. In the second part of the seminar we present general L^p approach for stochastic differential equations with small diffusion noise. Finally, we present simulated and real data analysis to provide some evidence on the applicability of this method.
FMSP Lectures
http://faculty.ms.u-tokyo.ac.jp/~fmsp/jpn/conferences/fmsp.html
http://www.sigmath.es.osaka-u.ac.jp/~kamatani/statseminar/2012/14.html
2013年02月05日(火)
Lie群論・表現論セミナー
17:30-19:00 数理科学研究科棟(駒場) 126号室
Nizar Demni 氏 (Université de Rennes 1)
Dunkl processes assciated with dihedral systems, II (ENGLISH)
Nizar Demni 氏 (Université de Rennes 1)
Dunkl processes assciated with dihedral systems, II (ENGLISH)
[ 講演概要 ]
I'll focus on dihedral systems and its semi group density. I'll show how one can write down this density using probabilistic techniques and give some interpretation using spherical harmonics. I'll also present some results attempting to get a close formula for the density: the main difficulty comes then from the inversion (in composition sense) of Tchebycheff polynomials of the first kind in some neighborhood. Finally, I'll display expressions through known special functions for even dihedral groups, and the unexplained connection between the obtained formulas and those of Ben Said-Kobayashi-Orsted.
I'll focus on dihedral systems and its semi group density. I'll show how one can write down this density using probabilistic techniques and give some interpretation using spherical harmonics. I'll also present some results attempting to get a close formula for the density: the main difficulty comes then from the inversion (in composition sense) of Tchebycheff polynomials of the first kind in some neighborhood. Finally, I'll display expressions through known special functions for even dihedral groups, and the unexplained connection between the obtained formulas and those of Ben Said-Kobayashi-Orsted.
2013年02月04日(月)
Lie群論・表現論セミナー
17:30-19:00 数理科学研究科棟(駒場) 126号室
いつもと曜日・時刻が違います
Nizar Demni 氏 (Université de Rennes 1)
Dunkl processes assciated with dihedral systems, I (ENGLISH)
いつもと曜日・時刻が違います
Nizar Demni 氏 (Université de Rennes 1)
Dunkl processes assciated with dihedral systems, I (ENGLISH)
[ 講演概要 ]
I'll first give a brief and needed account on root systems and finite reflection groups. Then, I'll introduce Dunkl operators and give some properties. Once I'll do, I'll introduce Dunkl processes and their continuous components, so-called radial Dunkl processes. The latter generalize eigenvalues processes of some matrix-valued processes and reduces to reflected Brownian motion in Weyl chambers. Besides, Brownian motion in Weyl chambers corresponds to all multiplicity values equal one are constructed from a Brownian motion killed when it first hits the boundary of the Weyl chamber using the unique positive harmonic function (up to a constant) on the Weyl chamber. In the analytic side, determinantal formulas appear and are related to harmonic analysis on the Gelfand pair (Gl(n,C), U(n)). This is in agreement on the one side with the so-called reflection principle in stochastic processes theory and matches on the other side the so-called shift principle introduced by E. Opdam. Finally, I'll discuss the spectacular result of Biane-Bougerol-O'connell yielding to a Duistermaat-Heckman distribution for non crystallographic systems.
I'll first give a brief and needed account on root systems and finite reflection groups. Then, I'll introduce Dunkl operators and give some properties. Once I'll do, I'll introduce Dunkl processes and their continuous components, so-called radial Dunkl processes. The latter generalize eigenvalues processes of some matrix-valued processes and reduces to reflected Brownian motion in Weyl chambers. Besides, Brownian motion in Weyl chambers corresponds to all multiplicity values equal one are constructed from a Brownian motion killed when it first hits the boundary of the Weyl chamber using the unique positive harmonic function (up to a constant) on the Weyl chamber. In the analytic side, determinantal formulas appear and are related to harmonic analysis on the Gelfand pair (Gl(n,C), U(n)). This is in agreement on the one side with the so-called reflection principle in stochastic processes theory and matches on the other side the so-called shift principle introduced by E. Opdam. Finally, I'll discuss the spectacular result of Biane-Bougerol-O'connell yielding to a Duistermaat-Heckman distribution for non crystallographic systems.
2013年01月30日(水)
幾何コロキウム
10:30-12:00 数理科学研究科棟(駒場) 128号室
開始時間と開催場所などは変更されることがあるので, セミナーごとにご確認ください.
小林亮一 氏 (名古屋大学)
Hamiltonian Volume Minimizing Property of Maximal Torus Orbits in the Complex Projective Space (JAPANESE)
開始時間と開催場所などは変更されることがあるので, セミナーごとにご確認ください.
小林亮一 氏 (名古屋大学)
Hamiltonian Volume Minimizing Property of Maximal Torus Orbits in the Complex Projective Space (JAPANESE)
[ 講演概要 ]
We prove that any $U(1)^n$-orbit in $\\Bbb P^n$ is volume minimizing under Hamiltonian deformation.
The idea of the proof is :
- (1) We extend one $U(1)^n$-orbit to the momentum torus fibration $\\{T_t\\}_{t\\in\\Delta^n}$ and consider its Hamiltonian deformation $\\{\\phi(T_t)\\}_{t\\in\\Delta^n}$ where $\\phi$ is a Hamiltobian diffeomorphism of $\\Bbb P^n$,
and then :
- (2) We compare each $U(1)^n$-orbit and its Hamiltonian deformation by compaing the large $k$ asymptotic behavior of the sequence of projective embeddings defined, for each $k$, by the basis of $H^0(\\Bbb P^n,\\Cal O(k))$ obtained by semi-classical approximation of the $\\Cal O(k)$ Bohr-Sommerfeld tori of the Lagrangian torus fibration $\\{T_t\\}_{t\\in\\Delta^n}$ and its Hamiltonian deformation $\\{\\phi(T_t)\\}_{t\\in\\Delta^n}$.
We prove that any $U(1)^n$-orbit in $\\Bbb P^n$ is volume minimizing under Hamiltonian deformation.
The idea of the proof is :
- (1) We extend one $U(1)^n$-orbit to the momentum torus fibration $\\{T_t\\}_{t\\in\\Delta^n}$ and consider its Hamiltonian deformation $\\{\\phi(T_t)\\}_{t\\in\\Delta^n}$ where $\\phi$ is a Hamiltobian diffeomorphism of $\\Bbb P^n$,
and then :
- (2) We compare each $U(1)^n$-orbit and its Hamiltonian deformation by compaing the large $k$ asymptotic behavior of the sequence of projective embeddings defined, for each $k$, by the basis of $H^0(\\Bbb P^n,\\Cal O(k))$ obtained by semi-classical approximation of the $\\Cal O(k)$ Bohr-Sommerfeld tori of the Lagrangian torus fibration $\\{T_t\\}_{t\\in\\Delta^n}$ and its Hamiltonian deformation $\\{\\phi(T_t)\\}_{t\\in\\Delta^n}$.
講演会
17:30-18:30 数理科学研究科棟(駒場) 122号室
Antonio Degasperis 氏 (La Sapienza, University of Rome)
Integrable nonlinear wave equations, nonlocal interaction and spectral methods (ENGLISH)
Antonio Degasperis 氏 (La Sapienza, University of Rome)
Integrable nonlinear wave equations, nonlocal interaction and spectral methods (ENGLISH)
[ 講演概要 ]
A general class of integrable nonlinear multi-component wave equations are discussed to show that integrability, as implied by Lax pair, does not necessarily imply solvability of the initial value problem by spectral methods. A simple instance of this class, with applicative relevance to nonlinear optics, is discussed as a prototype model. Conservation laws and special solutions of this model are displayed to underline the integrability issue.
A general class of integrable nonlinear multi-component wave equations are discussed to show that integrability, as implied by Lax pair, does not necessarily imply solvability of the initial value problem by spectral methods. A simple instance of this class, with applicative relevance to nonlinear optics, is discussed as a prototype model. Conservation laws and special solutions of this model are displayed to underline the integrability issue.
講演会
17:30-18:30 数理科学研究科棟(駒場) 122号室
Antonio Degasperis 氏 (La Sapienza, University of Rome)
Integrable nonlinear wave equations, nonlocal interaction and spectral methods (ENGLISH)
Antonio Degasperis 氏 (La Sapienza, University of Rome)
Integrable nonlinear wave equations, nonlocal interaction and spectral methods (ENGLISH)
[ 講演概要 ]
A general class of integrable nonlinear multi-component wave equations are discussed to show that integrability, as implied by Lax pair, does not necessarily imply solvability of the initial value problem by spectral methods. A simple instance of this class, with applicative relevance to nonlinear optics, is discussed as a prototype model. Conservation laws and special solutions of this model are displayed to underline the integrability issue.
A general class of integrable nonlinear multi-component wave equations are discussed to show that integrability, as implied by Lax pair, does not necessarily imply solvability of the initial value problem by spectral methods. A simple instance of this class, with applicative relevance to nonlinear optics, is discussed as a prototype model. Conservation laws and special solutions of this model are displayed to underline the integrability issue.
講演会
17:30-18:30 数理科学研究科棟(駒場) 122号室
Antonio Degasperis 氏 (La Sapienza, University of Rome)
Integrable nonlinear wave equations, nonlocal interaction and spectral methods (ENGLISH)
Antonio Degasperis 氏 (La Sapienza, University of Rome)
Integrable nonlinear wave equations, nonlocal interaction and spectral methods (ENGLISH)
[ 講演概要 ]
A general class of integrable nonlinear multi-component wave equations are discussed to show that integrability, as implied by Lax pair, does not necessarily imply solvability of the initial value problem by spectral methods. A simple instance of this class, with applicative relevance to nonlinear optics, is discussed as a prototype model. Conservation laws and special solutions of this model are displayed to underline the integrability issue.
A general class of integrable nonlinear multi-component wave equations are discussed to show that integrability, as implied by Lax pair, does not necessarily imply solvability of the initial value problem by spectral methods. A simple instance of this class, with applicative relevance to nonlinear optics, is discussed as a prototype model. Conservation laws and special solutions of this model are displayed to underline the integrability issue.
講演会
09:45-10:45 数理科学研究科棟(駒場) 123号室
Marzieh Forough 氏 (Ferdowsi Univ. Mashhad)
Stability of Fredholm property of regular operators on Hilbert $C^*$-modules (ENGLISH)
Marzieh Forough 氏 (Ferdowsi Univ. Mashhad)
Stability of Fredholm property of regular operators on Hilbert $C^*$-modules (ENGLISH)
講演会
11:00-12:00 数理科学研究科棟(駒場) 123号室
Gerardo Morsella 氏 (Univ. Roma II)
Scaling algebras, superselection theory and asymptotic morphisms (ENGLISH)
Gerardo Morsella 氏 (Univ. Roma II)
Scaling algebras, superselection theory and asymptotic morphisms (ENGLISH)
講演会
13:30-14:30 数理科学研究科棟(駒場) 123号室
Joav Orovitz 氏 (Ben-Gurion Univ.)
Tracially $\\mathcal{Z}$-absorbing $C^*$-algebras (ENGLISH)
Joav Orovitz 氏 (Ben-Gurion Univ.)
Tracially $\\mathcal{Z}$-absorbing $C^*$-algebras (ENGLISH)
講演会
14:45-15:45 数理科学研究科棟(駒場) 118号室
Nicola Watson 氏 (Univ. Toronto)
Noncommutative covering dimension (ENGLISH)
Nicola Watson 氏 (Univ. Toronto)
Noncommutative covering dimension (ENGLISH)
講演会
16:00-17:00 数理科学研究科棟(駒場) 118号室
Marcel Bischoff 氏 (Univ. G\"ottingen)
Construction of models in low dimensional QFT using operator algebraic methods (ENGLISH)
Marcel Bischoff 氏 (Univ. G\"ottingen)
Construction of models in low dimensional QFT using operator algebraic methods (ENGLISH)
講演会
17:15-18:15 数理科学研究科棟(駒場) 118号室
浅野裕樹 氏 (東大数理)
Group actions with Rohlin property (ENGLISH)
浅野裕樹 氏 (東大数理)
Group actions with Rohlin property (ENGLISH)
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