過去の記録

過去の記録 ~05/21本日 05/22 | 今後の予定 05/23~

2011年03月04日(金)

GCOEセミナー

17:00-18:00   数理科学研究科棟(駒場) 370号室
Oleg Emanouilov 氏 (Colorado State University)
Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets (ENGLISH)
[ 講演概要 ]
We discuss the inverse boundary value problem of determining the conductivity in two dimensions from the pair of all input Dirichlet data supported on an open subset S1 and all the corresponding Neumann data measured on an open subset S2.
We prove the global uniqueness under some additional geometric condition, in the case where the intersection of S_1 and S_2 has no interior points, and we prove also the uniqueness for a similar inverse problem for the stationary Schr"odinger equation.
The key of the proof isthe construction of appropriate complex geometrical optics solutions using Carleman estimates with a singular weight.

2011年03月03日(木)

講演会

13:30-14:30   数理科学研究科棟(駒場) 270号室
Stefano Olla 氏 (Univ. Paris Dauphine)
Energy Diffusion: hydrodynamic, weak coupling, kinetic limits (ENGLISH)
[ 講演概要 ]
I will review recent results about weak coupling and kinetic limits for the energy diffusive evolution in hamiltonian systems perturbed by energy-conservating noise. Two universality classes of diffusion are obtained: Ginzburg-Landau dynamics that arise from weak coupling limit of anharmonic oscillators, and exclusion type processes that arise from kinetic limit (rarefied collisions) of interacting billiards. Works in collaboration with Carlangelo Liverani (weak coupling) and Francois Huveneers (kinetic limits).

講演会

14:45-15:45   数理科学研究科棟(駒場) 270号室
長田 博文 氏 (九大数理)
Singularity and absolute continuity of Palm measures of Ginibre random fields
(ENGLISH)
[ 講演概要 ]
The Ginibre random point field is a probability measure on the configuration space over the complex plane $\\mathbb{C}$, which is translation and rotation invariant. Intuitively, the interaction potential of this random point field is the two dimensional Coulomb potential with $\\beta = 2 $. This fact is justified by the integration by parts formula.
Since the two dimensional Coulomb potential is quite strong at infinity, the property of the Ginibre random point field is different from that of Gibbs measure with Ruelle class potentials. As an instance, we prove that the Palm measure of the Ginibre random point field is singular to the original Ginibre random point field. Moreover, all Palm measures conditioned at $x \\in \\mathbb{C}$ are mutually absolutely continuous.

講演会

16:00-16:30   数理科学研究科棟(駒場) 270号室
針谷 祐 氏 (東北大理)
A proof of the Brascamp-Lieb inequality based on Skorokhod embedding (ENGLISH)
[ 講演概要 ]
In this talk, we provide a probabilistic approach to the Brascamp-Lieb inequality based on Skorokhod embedding. An extension of the inequality to non-convex potentials will also be discussed.

2011年02月28日(月)

講演会

17:00-18:00   数理科学研究科棟(駒場) 470号室
Ying Tan 氏 (The University of Melbourne)
Extremum Seeking Control: history and recent developments (ENGLISH)
[ 講演概要 ]
A control system which is to determine and maintain the extremum value of a function is called extremum seeking control. The first extremum seeking control application appeared in 1922, in which the extremum seeking control was applied to electric railways. The first rigorous local stability analysis for an ESC scheme was recently proved in 2000 and later extended to semi-global stability analysis 2006.. This has spurred a renewed interest in this research area, leading to numerous practical implementations of the scheme. This talk will first revisit the history of extremum seeking control. It is followed by an explanation how the extremum seeking works. Finally, it will focus on the latest unifying framework that combines arbitrary continuous optimization algorithms with an estimator for derivatives of the unknown reference-to-output steady state map that contains an extremum.

2011年02月24日(木)

応用解析セミナー

16:00-18:10   数理科学研究科棟(駒場) 002号室
Arnaud Ducrot 氏 (University of Bordeaux 2) 16:00-17:00
Travelling waves for a size and space structured model in population dynamics: Point to sustained oscillating solution connections (ENGLISH)
[ 講演概要 ]
This work is devoted to the study of travelling wave solutions for some size structured model in population dynamics. The population under consideration is also spatially structured and has a nonlocal spatial reproduction. This phenomenon may model the invasion of plants within some empty landscape. Since the corresponding unspatially structured size structured models may induce oscillating dynamics due to Hopf bifurcations, the aim of this work is to prove the existence of point to sustained oscillating solution travelling waves for the spatially structured problem. From a biological viewpoint, such solutions represent the spatial invasion of some species with spatio-temporal patterns at the place where the population is established.
Enrique Zuazua 氏 (Basque Center for Applied Mathematics) 17:10-18:10
Some open problems in PDE control (ENGLISH)
[ 講演概要 ]
The field of PDE control has experienced a great progress in the last decades, developing new theories and tools that have also influenced other disciplines as Inverse Problem and Optimal Design Theories and Numerical Analysis. PDE control arises in most applications ranging from classical problems in fluid mechanics or structural engineering to modern molecular design experiments.

From a mathematical viewpoint the problems arising in this field are extremely challenging since the existing theory of existence and uniqueness of solutions and the corresponding numerical schemes is insufficient when addressing realistic control problems. Indeed, an efficient controller requires of an in depth understanding of how solutions depend on the various parameters of the problem (shape of the domain, time of control, coefficients of the equation, location
of the controller, nonlinearity in the equation,...)

In this lecture we shall briefly discuss some important advances and some challenging open problems. All of them shear some features. In particular they are simple to state and very likely hard to solve. We shall discuss in particular:
1.- Semilinear wave equations and their control properties.
2.- Microlocal optimal design of wave processes
3.- Sharp observability estimates for heat processes.
4.- Robustness on the control of finite-dimensional systems.
5.- Unique continuation for discrete elliptic models
6.- Control of Kolmogorov equations and other hypoelliptic models.

2011年02月23日(水)

関数解析セミナー

14:00-18:00   数理科学研究科棟(駒場) 118号室
Dimitri Yafaev 氏 (Univ. Rennes 1) 14:00-14:45
The semiclassical limit of eigenfunctions of the Schroedinger equation and the Bohr-Sommerfeld quantization condition, revisited (ENGLISH)
David Damanik 氏 (Rice University) 15:00-15:45
Uniform localization (ENGLISH)
Erik Skibsted 氏 (Aarhus University) 16:15-17:00
Global solutions to the eikonal equation (ENGLISH)
Christian Gerard 氏 (Univ. Paris Sud 11) 17:15-18:00
Applications of microlocal analysis to quantum field theory on curved space-times (ENGLISH)

2011年02月18日(金)

作用素環セミナー

10:30-12:00   数理科学研究科棟(駒場) 122号室
Pedram Hekmati 氏 (Univ. Adelaide)
Dirac families and 1-cocycles (ENGLISH)
[ 講演概要 ]
Families of Dirac type operators, transforming covariantly under the projective action of the loop group $LG$, determine a class in twisted K-theory on compact Lie groups $G$. The loop group is the gauge group of a principal $G$-bundle over the circle and an interesting problem is to try to generalise the circle to a higher dimensional compact manifold. This is far from obvious and some of the difficulties can be modelled in a slightly simpler setting, by replacing $LG$ and gauge connections by objects which have only small differentiability in the Sobolev sense. In this talk, I will provide some background to this problem and explain how 1-cocycles naturally appear in this construction.

古典解析セミナー

11:00-15:45   数理科学研究科棟(駒場) 126号室
T. Morita 氏 (Osaka University) 11:00-12:00
Connection problem on the Hahn-Exton $q$-Bessel functions (ENGLISH)
M. Yamaguchi 氏 (University of Tokyo) 13:30-14:30
Rigidity index and middle convolution of $q$-difference equations (Joint work with H. Sakai)
(ENGLISH)
L. Di Vizio 氏 (Universite Paris 7) 14:45-15:45
Arithmetic theory of $q$-difference equations and applications (Joint work with C. Hardouin)
(ENGLISH)

古典解析セミナー

10:15-10:45   数理科学研究科棟(駒場) 126号室
Y. Ohyama 氏 (Osaka University)
Degeneration shceme of basic hypergeometric equations and $q$-Painlev¥'e equations (ENGLISH)

2011年02月17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
Thomas Giletti 氏 (University of Paul Cezanne (Marseilles))
Study of propagation phenomena in some reaction-diffusion systems (ENGLISH)
[ 講演概要 ]
This talk deals with the existence and qualitative properties of traveling wave solutions of a nonlinear reaction-diffusion system with losses inside the domain, which has numerous applications in various fields ranging from chemical and biological contexts to combusion. Under some KPP type hypotheses, the existence of a continuum of admissible speeds for traveling waves can be shown, thus generalizing the single equation case. Lastly, by considering losses concentrated near the edge of the domain, those results can be compared with those of the boundary losses case.

古典解析セミナー

11:00-17:00   数理科学研究科棟(駒場) 126号室
L. Di Vizio 氏 (Universite Paris 7) 11:00-12:00
Overview of local theory of $q$-difference equations and summation, 1
(ENGLISH)
Y. Katsushima 氏 (University of Tokyo) 13:30-14:30
Bounded operators on Gevrey spaces and additive difference operators (in a view of differential operators of infinite order) (ENGLISH)
K. Matsuya 氏 (University of Tokyo) 14:45-15:45
Blow-up of solutions for a nonlinear difference equation (ENGLISH)
L. Di Vizio 氏 (Universite Paris 7) 16:00-17:00
Overview of local theory of $q$-difference equations and summation, 2 (ENGLISH)

2011年02月16日(水)

古典解析セミナー

13:30-17:00   数理科学研究科棟(駒場) 126号室
H. Sakai 氏 (University of Tokyo) 13:30-14:30
Isomonodromic deformation and 4-dimensional Painlev\\'e type equations (ENGLISH)
H. Kawakami 氏 (University of Tokyo) 14:45-15:45
Degeneration scheme of 4-dimensional Painlev¥'e type equations
(Joint work with H. Sakai and A. Nakamura)

(ENGLISH)
S. Nishioka 氏 (University of Tokyo) 16:00-17:00
Solvability of difference Riccati equations (ENGLISH)

2011年02月14日(月)

GCOEセミナー

13:00-14:00   数理科学研究科棟(駒場) 270号室
Jin Cheng 氏 (Fudan University)
Unique continuation on the analytic curve and its application to inverse problems. (ENGLISH)
[ 講演概要 ]
The unique continuation is one of the important properties for the partial differential equations, which is applied to the study of inverse problems for PDE. In this talk, we will show the unique continuation on the analytic curve for the elliptic equations with analytic coefficients. Some applications to inverse problems are mentioned.

2011年02月10日(木)

作用素環セミナー

16:30-18:00   数理科学研究科棟(駒場) 122号室
Alan Weinstein 氏 (UC Berkeley)
Symplectic and quantum categories (ENGLISH)

応用解析セミナー

15:30-16:30   数理科学研究科棟(駒場) 002号室
時間が通常と異なりますのでご注意ください.
Jean-Michel Coron 氏 (University of Paris 6)
Control and nonlinearity (ENGLISH)
[ 講演概要 ]
We present methods to study the controllability and the stabilizability of nonlinear control systems. The emphasis is put on specific phenomena due to the nonlinearities. In particular we study cases where the nonlinearities are essential for the controllability or the stabilizability.
We illustrate these methods on control systems modeled by ordinary differential equations or partial differential equations (Euler and Navier-Stokes equations of incompressible fluids, shallow water equations, Korteweg de Vries equations).

代数学コロキウム

11:00-12:00   数理科学研究科棟(駒場) 056号室
曜日・時間がいつもと異なりますのでご注意ください.
Joseph Ayoub 氏 (University of Zurich)
The motivic Galois group and periods of algebraic varieties (ENGLISH)
[ 講演概要 ]
We give a construction of the motivic Galois group of $\\Q$ and explain the conjectural link with the ring of periods of algebraic varieties. Then we introduce the ring of formal periods and explain how the conjectural link with the motivic Galois group can be realized for them.

2011年02月04日(金)

博士論文発表会

09:45-11:00   数理科学研究科棟(駒場) 118号室
原 隆 氏 (東京大学大学院数理科学研究科)
Inductive construction of the p-adic zeta functions for non-commutative p-extensions of totally real fields with exponent p(総実代数体の羃指数p型非可換p拡大に対するp-進ゼータ関数の帰納的構成) (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
三内 顕義 氏 (東京大学大学院数理科学研究科)
Galois extensions,pls closure,and maps on local cohomology(ガロア拡大、プラス閉包、及び局所コホモロジー間の射について) (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
原瀬 晋 氏 (東京大学大学院数理科学研究科)
Fast lattice reduction algorithms for optimizing F2-linear pseudorandom number generators(F2-線形擬似乱数発生法の最適化のための高速格子簡約アルゴリズム) (JAPANESE)

博士論文発表会

11:00-12:15   数理科学研究科棟(駒場) 122号室
北山 貴裕 氏 (東京大学大学院数理科学研究科)
Non-commutative Reidemeister torsion, Morse-Novikov theory and homology cylinders of higher-order(非可換ライデマイスタートーション,モース‐ノビコフ理論及び高次のホモロジーシリンダー) (JAPANESE)

博士論文発表会

14:15-15:30   数理科学研究科棟(駒場) 122号室
中原 健二 氏 (東京大学大学院数理科学研究科)
Uniform Estimates for Distributions of Sums of i.i.d Random Variables with Fat Tail(分布がファットテールをもつ場合の独立同分布の和の分布の一様評価について) (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
張 光輝 氏 (東京大学大学院数理科学研究科)
Regularity of two dimensional steady capillary gravity water waves(二次元定常表面張力重力波の正則性) (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
柳 青 氏 (東京大学大学院数理科学研究科)
Singular Problems Related to Curvature Flow and Hamilton-Jacobi Equations(曲率流とハミルトン・ヤコビ方程式における特異問題) (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
佐々田 槙子 氏 (東京大学大学院数理科学研究科)
Hydrodynamic limit and equilibrium fluctuation for nongradient systems(非勾配型の系に対する流体力学極限と平衡揺動) (JAPANESE)

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