過去の記録

過去の記録 ~05/21本日 05/22 | 今後の予定 05/23~

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)

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)

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)

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)

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)

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)
[ 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.

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)
[ 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
[ 講演参考URL ]
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)
[ 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.

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)
[ 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.

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)
[ 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 $\\{\\phi(T_t)\\}_{t\\in\\Delta^n}$.

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)
[ 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.

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)
[ 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.

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)
[ 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.

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)

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)

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)

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)

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)

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)

GCOEセミナー

16:00-17:00   数理科学研究科棟(駒場) 118号室
このセミナーはMiniworkshop on Operator Algebras IIIの一環として行われます
Marcel Bischoff 氏 (Univ. Göttingen)
Construction of models in low dimensional QFT using operator algebraic methods (ENGLISH)
[ 講演参考URL ]
http://www.ms.u-tokyo.ac.jp/~yasuyuki/mini2013-3.htm

2013年01月28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) 126号室
丸亀 泰二 氏 (東大数理)
完備Kaehler-Einstein計量に対する繰り込みGauss-Bonnet公式 (JAPANESE)
[ 講演概要 ]
漸近的にEinsteinな完備Kaehler計量の「繰り込まれた」Chern形式に対し、Gauss-Bonnet公式を導く。さらに、CR構造を用いて記述された境界積分が、特別な条件のもとで擬Einstein不変量になることを示す。

統計数学セミナー

13:00-14:10   数理科学研究科棟(駒場) 006号室
FMSP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.
Ernst August Frhr. v. Hammerstein 氏 (Albert-Ludwigs-Universität Freiburg)
Laplace and Fourier based valuation methods in exponential Levy models (JAPANESE)
[ 講演概要 ]
A fundamental problem in mathematical finance is the explicit computation of expectations which arise as prices of derivatives. Closed formulas that can easily be evaluated are typically only available in models driven by a Brownian motion. If one considers more sophisticated jump-type Levy processes as drivers, the problem quickly becomes rather nontrivial and complicated. Starting with the paper of Carr and Madan (1999) and the PhD thesis of Raible (2000), Laplace and Fourier based methods have been used to derive option pricing formulas that can be evaluated very efficiently numerically. In this talk we review the initial idea of Raible (2000), show how it can be generalized and discuss under which precise mathematical assumptions the Laplace and Fourier approach work. We then give several examples of specific options and Levy models to which the general framework can be applied to. In the last part, we present some formulas for pricing options on the supremum and infimum of the asset price process that use the Wiener-Hopf factorization.

FMSP Lectures
http://faculty.ms.u-tokyo.ac.jp/~fmsp/jpn/conferences/fmsp.html
[ 講演参考URL ]
http://www.sigmath.es.osaka-u.ac.jp/~kamatani/statseminar/2012/13.html

http://faculty.ms.u-tokyo.ac.jp/~fmsp/jpn/conferences/fmsp.html

GCOEセミナー

16:00-17:00   数理科学研究科棟(駒場) 270号室
Bernadette Miara 氏 (Universite Paris-Est)
The obstacle problem for a shallow membrane-Justification and stability (ENGLISH)
[ 講演概要 ]
This lecture is twofold.
In the first part we recall the difference between the three-dimensional unilateral contact problem (the so-called Signorini problem) and its two-dimensional limit (the obstacle problem) in the case of an elastic shell as it was considered in [1] and [2].
In the second part we consider a simplified set of equations which describe the equilibrium equations of a shallow membrane (as justified in [3]) in contact with a plane obstacle and we study the stability of the contact zone with respect to small changes of the applied force, which amounts to studying the variation of the boundary of this contact zone. This kind of stability was first established in the scalar case for the Laplacian operator [4] then for the biharmonic operator [5]. The interest of the vectorial case considered here is due to the coupling effects between the in-plane and the transverse components of the displacement field in the framework of linearized Marguerre-von K´arm´an shell model.
This is a joint work with Alain L´eger, CNRS, Laboratoire de M´ecanique et d’Acoustique, 13402, Marseille, France.

2013年01月26日(土)

調和解析駒場セミナー

13:30-18:00   数理科学研究科棟(駒場) 128号室
このセミナーは,月に1度程度,不定期に開催されます.
胡 国栄
(東京大学) 13:30-15:00
On Triebel-Lizorkin spaces on Stratified Lie groups
(ENGLISH)
[ 講演概要 ]
We introduce the notion of Triebel-Lizorkin spaces
$\\dot{F}^{s}_{p,q}(G)$ on a stratified Lie group $G$
in terms of a Littlewood-Paley-type decomposition
with respect to a sub-Laplacian $\\mathscr{L}$ of $G$,
for $s \\in \\mathbb{R}$, $0

We show that the scale of these spaces is actually independent of
the precise choice of the sub-Laplacian
and the Littlewood-Paley-type decomposition.
As we shall see, many properties of the classical
Triebel-Lizorkin spaces on $\\mathbb{R}^{n}$, e.g.,
lifting property, embeddings and dual property,
can be extended to the setting of stratified Lie groups
without too much effort.
We then study the boundedness of convolution operators
on these spaces and finally,
we obtain a Hormander type spectral multipliers theorem.

小野寺 有紹
(九州大学) 15:30-17:00
Profiles of solutions to an integral system related to
the weighted Hardy-Littlewood-Sobolev inequality
(JAPANESE)
[ 講演概要 ]
We study the Euler-Lagrange system for a variational problem
associated with the weighted Hardy-Littlewood-Sobolev inequality of
Stein and Weiss.
We show that all the nonnegative solutions to the system are radially
symmetric and have particular profiles around the origin and the
infinity.
This work extends previous results obtained by other authors to the
general case.

2013年01月25日(金)

談話会・数理科学講演会

16:30-17:30   数理科学研究科棟(駒場) 002号室
旧記録は、上記セミナーURLにあります。
お茶&Coffee&お菓子: 16:00~16:30 (コモンルーム)。

中尾充宏 氏 (佐世保工業高等専門学校(校長)・九州大学名誉教授)
偏微分方程式の解に対する数値的検証の現状と動向 (JAPANESE)
[ 講演概要 ]
本講演では、非線形偏微分方程式の解に対する 数値的検証法(精度保証付き数値計算法)について、現在までの研究の状況を概観し、今後の研究動向を考察する。特に、講演者らによってこれまでに得られた楕円型方程式を中心とする結果を総括し、最近の発展方程式に関する拡張についてもその現状と展望を述べる。さらに近年の力学系研究グループによる偏微分方程式に対する結果にも言及しその動向を探る。

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