講演会

過去の記録 ~12/05次回の予定今後の予定 12/06~


過去の記録

2014年03月13日(木)

10:15-11:45   数理科学研究科棟(駒場) 470号室
Michele Triestino 氏 (Ecole Normale Superieure de Lyon)
Almost sure triviality of the $C^1$-centralizer of random circle diffeomorphisms with periodic points (ENGLISH)
[ 講演概要 ]
By the end of the 80s, Malliavin and Shavgulidze introduced a measure on the space of C^1 circle diffeomorphisms which carries many interesting features. Perhaps the most interesting aspect is that it can be considered as an analog of the Haar measure for the group Diff^1_+(S^1).
The nature of this measure has been mostly investigated in connection to representation theory.
For people working in dynamical systems, the MS measure offers a way to quantify dynamical phenomena: for example, which is the probability that a random diffeomorphism is irrational? Even if this question have occupied my mind for a long time, it remains still unanswered, as many other interesting ones. However, it is possible to understand precisely what are the typical features of a diffeomorphism with periodic points.

2014年03月12日(水)

10:15-11:45   数理科学研究科棟(駒場) 470号室
Michele Triestino 氏 (Ecole Normale Superieure de Lyon)
Invariant distributions for circle diffeomorphisms of
irrational rotation number and low regularity (ENGLISH)
[ 講演概要 ]
The main inspiration of this joint work with Andrés Navas is the beautiful result of Ávila and Kocsard: if f is a C^\\infty circle diffeomorphism of irrational rotation number, then the unique invariant probability measure is also the unique (up to rescaling) invariant distribution.
Using conceptual geometric arguments (Hahn-Banach...), we investigate the uniqueness of invariant distributions for C^1 circle diffeomorphisms of irrational rotation number, with particular attention to sharp regularity.
We prove that If the diffeomorphism is C^{1+bv}, then there is a unique invariant distribution of order 1. On the other side, examples by Douady and Yoccoz, and by Kodama and Matsumoto exhibit differentiable dynamical systems for which the uniqueness does not hold.

2014年03月10日(月)

15:15-16:45   数理科学研究科棟(駒場) 123号室
Marielle Simon 氏 (ENS Lyon, UMPA)
Energy fluctuations in the disordered harmonic chain (ENGLISH)
[ 講演概要 ]
We study the energy diffusion in the disordered harmonic chain of oscillators: the usual Hamiltonian dynamics is provided with random masses and perturbed by a degenerate energy conserving noise. After rescaling space and time diffusively, we prove that energy fluctuations evolve following an infinite dimensional linear stochastic differential equation driven by the linearized heat equation. We also give variational expressions for the thermal diffusivity and an equivalent definition through the Green-Kubo formula. Since the model is non gradient, and the perturbation is very degenerate, the standard Varadhan's approach is reviewed under new perspectives.

2014年02月17日(月)

16:30-17:30   数理科学研究科棟(駒場) 002号室
Canceled!! (本人の都合により,講演は取りやめとなりました.)
Ratnasingham Shivaji 氏 (The University of North Carolina at Greensboro)
Canceled!! (ENGLISH)
[ 講演概要 ]
Canceled!!

2013年12月19日(木)

17:00-18:00   数理科学研究科棟(駒場) 270号室
Guanghui Hu 氏 (WIAS, Germany)
Inverse elastic wave scattering from rigid diffraction gratings (ENGLISH)
[ 講演概要 ]
In recent years, Schwarz reflection principles have been used to prove uniqueness in inverse scattering by bounded obstacles and unbounded periodic structures of polygonal or polyhedral type with only one or several incident plane waves.
Such a principle for the Navier equation is established by far only underthe third or fourth kind boundary conditions, and still remains unknown in the more practical case of the Dirichlet boundary condition.
In this talk we will discuss the uniqueness in inverse elastic scattering from rigid diffraction gratings of polygonal type, where the total displacement vanishes on the scattering surface. Mathematically, this can be modeled by the Dirichlet boundary value problem for the Navier equation in periodic structures. We prove that such diffraction gratings can be uniquely
determined from the near-field data corresponding to a finite number of incident elastic plane waves.
This is a joint work with J. Elschner and M. Yamamoto.

2013年07月25日(木)

13:00-15:00   数理科学研究科棟(駒場) 126号室
Joergen E Andersen 氏 (Centre for Quantum Geometry of Moduli Spaces (QGM), Aarhus University, Denmark
)
モジュライ構造とChern-Simons量子場理論 (ENGLISH)

2013年07月23日(火)

13:00-15:00   数理科学研究科棟(駒場) 002号室
Joergen E Andersen 氏 (Centre for Quantum Geometry of Moduli Spaces (QGM), Aarhus University, Denmark
)
モジュライ構造と蛋白質構造のクラスタリング (ENGLISH)

2013年07月22日(月)

13:00-15:00   数理科学研究科棟(駒場) 126号室
Joergen E Andersen 氏 (Centre for Quantum Geometry of Moduli Spaces (QGM), Aarhus University, Denmark
)
RNA構造のモジュライ構造とエネルギー計算 (ENGLISH)

2013年07月08日(月)

10:40-12:10   数理科学研究科棟(駒場) 128号室
出原浩史 氏 (明治大学 先端数理科学インスティテュート)
生物の集合形成メカニズム:ミクロとマクロの視点から (JAPANESE)
[ 講演概要 ]
自然界では集合し生活する生物が数多くいる.そのような生物種のダイナミクスを表現するためにミクロレベルの視点からランダムウォークに基づく粒子モデルがしばしば提唱される. 一方,生物の個体群密度を考慮した場合, そのダイナミクスはマクロレベルの偏微分方程式モデルとして表現される.
このように着目する視点によって提唱されるモデルは異なる. 本講演では, 生物の集合現象を例に,ミクロレベルでの粒子モデルとマクロレベルでの偏微分方程式モデルの間の関係を紹介したい.

2013年06月13日(木)

16:30-18:00   数理科学研究科棟(駒場) 117号室
望月 新一 氏 (京都大学数理解析研究所)
宇宙際タイヒミューラー理論への誘(いざな)い 《拡大版》
(JAPANESE)

2013年05月24日(金)

16:30-18:00   数理科学研究科棟(駒場) 002号室
5/10(金) 5/14(火) 5/21(火) 5/24(金)の4回連続講演の最終回です。

Laurent Lafforgue 氏 (IHES)
Kernels of Langlands' automorphic transfer and non-linear Poisson formulas (JAPANESE)

2013年05月21日(火)

16:30-18:00   数理科学研究科棟(駒場) 118号室
5/10(金) 5/14(火) 5/21(火) 5/24(金)の4回連続講演です。部屋と時間は毎回同じです
Laurent Lafforgue 氏 (IHES)
Kernels of Langlands' automorphic transfer and non-linear Poisson formulas (ENGLISH)

2013年05月14日(火)

16:30-18:00   数理科学研究科棟(駒場) 118号室
5/10(金) 5/14(火) 5/21(火) 5/24(金)の4回連続講演です。部屋と時間は毎回同じです

Laurent Lafforgue 氏 (IHES)
Kernels of Langlands' automorphic transfer and non-linear Poisson formulas (ENGLISH)

2013年05月10日(金)

16:30-18:00   数理科学研究科棟(駒場) 118号室
5/10(金) 5/14(火) 5/21(火) 5/24(金)の4回連続講演です。
部屋と時間は毎回同じです

Laurent Lafforgue 氏 (IHES)
Kernels of Langlands' automorphic transfer and non-linear Poisson formulas (ENGLISH)

2013年04月22日(月)

16:45-18:15   数理科学研究科棟(駒場) 126号室
Stefano Olla 氏 (Univ. Paris-Dauphine)
Thermal conductivity and weak coupling (ENGLISH)
[ 講演概要 ]
We investigate the macroscopic thermal conductivity of a chain of anharmonic oscillators and more general systems, under weak coupling limits and energy conserving stochastic perturbations of the dynamics. In particular we establish a series expansion in the coupling parameter.

2013年04月15日(月)

15:00-16:30   数理科学研究科棟(駒場) 126号室
Janna Lierl 氏 (University of Bonn)
Two-sided bounds for the Dirichlet heat kernel on inner uniform domains (ENGLISH)
[ 講演概要 ]
I will present sharp two-sided bounds for the heat kernel in domains with Dirichlet boundary conditions. The domain is assumed to satisfy an inner uniformity condition. This includes any convex domain, the complement of any convex domain in Euclidean space, and the interior of the Koch snowflake.
The heat kernel estimates hold in the abstract setting of metric measure spaces equipped with a (possibly non-symmetric) Dirichlet form. The underlying space is assumed to satisfy a Poincare inequality and volume doubling.
The results apply, for example, to the Dirichlet heat kernel associated with a divergence form operator with bounded measurable coefficients and symmetric, uniformly elliptic second order part.
This is joint work with Laurent Saloff-Coste.

2013年04月15日(月)

16:45-18:15   数理科学研究科棟(駒場) 126号室
Amir Dembo 氏 (Stanford University)
Persistence Probabilities (ENGLISH)
[ 講演概要 ]
Persistence probabilities concern how likely it is that a stochastic process has a long excursion above fixed level and of what are the relevant scenarios for this behavior. Power law decay is expected in many cases of physical significance and the issue is to determine its power exponent parameter. I will survey recent progress in this direction (jointly with Jian Ding, Fuchang Gao, and Sumit Mukherjee), dealing with random algebraic polynomials of independent coefficients, iterated partial sums and other auto-regressive sequences, and with the solution to heat equation initiated by white noise.

2013年03月06日(水)

16:00-17:30   数理科学研究科棟(駒場) 117号室
Frederic Le Roux 氏 (Institut de Mathematiques de Jussieu, Universite Pierre et Marie Curie)
The rotation set around a fixed point for surface homeomorphisms. (ENGLISH)
[ 講演概要 ]
We propose two definitions of a local rotation set. As applications, one
gets some criteria for the existence of periodic orbits, and a clear
explanation of Gambaudo-Le Calvez-Pecou's version of the Naishul theorem:
for surface diffeomorphisms, the rotation number of the derivative at a
fixed point which is not a sink nor a source is a topological invariant.
Tha local rotation set also provide an unexpected topological
characterization for the parabolic fixed points of holomorphic maps.

2013年02月08日(金)

10:30-11:30   数理科学研究科棟(駒場) 370号室
Zdzislaw Brzezniak 氏 (University of York)
Strong and weak solutions to stochastic Landau-Lifshitz equations (ENGLISH)
[ 講演概要 ]
I will speak about the existence of weak solutions (and the existence and uniqueness of strong solutions) to the stochastic Landau-Lifshitz equations for multi (and one)-dimensional spatial domains. I will also describe the corresponding Large Deviations principle and it's applications to a ferromagnetic wire.
The talk is based on a joint work with B. Goldys and T. Jegaraj.

2013年01月30日(水)

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.

2013年01月30日(水)

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.

2013年01月30日(水)

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.

2013年01月30日(水)

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)

2013年01月30日(水)

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)

2013年01月30日(水)

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)

< 前へ 1234567891011 次へ >