過去の記録 ~08/17本日 08/18 | 今後の予定 08/19~



16:30-18:00   数理科学研究科棟(駒場) 056号室
Tea: 16:00 - 16:30 コモンルーム
門田 直之 氏 (東京理科大学)
The geography problem of Lefschetz fibrations (JAPANESE)
[ 講演概要 ]
To consider holomorphic fibrations complex surfaces over complex curves
and Lefschetz fibrations over surfaces is one method for the study of
complex surfaces of general type and symplectic 4-manifods, respectively.
In this talk, by comparing the geography problem of relatively minimal
holomorphic fibrations with that of relatively minimal Lefschetz
fibrations (i.e., the characterization of pairs $(x,y)$ of certain
invariants $x$ and $y$ corresponding to relatively minimal holomorphic
fibrations and relatively minimal Lefschetz fibrations), we observe the
difference between complex surfaces of general type and symplectic
4-manifolds. In particular, we construct Lefschetz fibrations violating
the ``slope inequality" which holds for any relatively minimal holomorphic



13:30-15:00   数理科学研究科棟(駒場) 123号室
Yuval Flicker 氏 (Ohio State Univ. ) 13:30-15:00
Counting automorphic representations (JAPANESE)
Yuval Flicker 氏 (Ohio State Univeristy) 13:30-15:00
Counting automorphic representations II (JAPANESE)



15:00-16:30   数理科学研究科棟(駒場) 123号室
Bertrand Deroin 氏 (University of Paris-Sud)
Dominating representations by Fuchsian ones (ENGLISH)
[ 講演概要 ]
We will focus on the problem of dominating the translation lengths of a representation from a surface group to the isometries of a CAT(-1) space by the lengths induced by a hyperbolic structure on the surface. This is related to the construction of 3-dimensional anti-de-Sitter compact manifolds. This is a collaboration with Nicolas Tholozan.



16:30-18:00   数理科学研究科棟(駒場) 118号室
Roberto Longo 氏 (Univ. Roma, Tor Vergata)
Operator Algebraic Construction of Quantum Field Theory Models (ENGLISH)


16:30-18:00   数理科学研究科棟(駒場) 118号室
Roberto Longo 氏 (Univ. Roma, Tor Vergata)
Operator Algebraic Construction of Quantum Field Theory Models (ENGLISH)



16:30-18:00   数理科学研究科棟(駒場) 118号室
Tullio Ceccherini-Silberstein 氏 (Univ. Sannio)
Cellular automata and groups (ENGLISH)



16:30-18:00   数理科学研究科棟(駒場) 118号室
Demosthenes Ellinas 氏 (Technical University of Crete)
Phase Plane Operator Valued Probability Measures: Constructions and Random Evolution (ENGLISH)



16:00-17:00   数理科学研究科棟(駒場) 370号室
Philippe Guyenne 氏 (Univ. of Delaware)
Water waves over a random bottom (ENGLISH)
[ 講演概要 ]
We present a Hamiltonian formulation for nonlinear surface water waves in the presence of a variable bottom. This formulation is based on a reduction of the problem to a lower-dimensional system involving boundary variables alone. To accomplish this, we express the Dirichlet-to-Neumann operator as a Taylor series in terms of the surface and bottom variations. This expansion is convenient for both asymptotic calculations and numerical simulations. First we apply this formulation to the asymptotic description of long waves over random topography. We show that the principal component of the solution can be described by a Korteweg-de Vries equation plus random phase corrections. We also derive an asymptotic expression for the scattered component. Finally numerical simulations will be shown to illustrate the theoretical results. This is joint work with Walter Craig and Catherine Sulem.



16:30-18:00   数理科学研究科棟(駒場) 118号室
江夏 洋一 氏 (東京大学大学院数理科学研究科)
時間遅れがもたらす微分方程式の解の特性変化とその応用 (JAPANESE)
[ 講演概要 ]
疾病の流行規模予測は, 感染症の駆逐過程で公衆衛生上の急務課題である.
本講演では, 感染症モデルと呼ばれる力学系の漸近挙動, 特に平衡解の大域的安
特に, vector population における潜伏期間を表す「時間遅れ」がもたらす微分
方程式の解の特性変化に着目し, multi-group モデルや糖尿病モデルをはじめと



13:00-14:15   数理科学研究科棟(駒場) 122号室
磯野 優介 氏 (東京大学大学院数理科学研究科)
Examples of factors which have no Cartan subalgebras(カルタン部分環を持たない因子環の例) (JAPANESE)


10:30-12:00   数理科学研究科棟(駒場) 118号室
Birgit Speh 氏 (Cornell University)
Representations of reductive groups and L-functions (II) (ENGLISH)
[ 講演概要 ]
In the second lecture we will quickly discuss Rankin Selberg integral approach to L-factors and then Shahidi's method of constructing L-functions by relating them to intertwining operators, leading to the definition of the the L-factors of tempered non degenerate representations. The lecture closes with a discussion of L-factors for nontempered representations.


16:30-17:30   数理科学研究科棟(駒場) 123号室
お茶&Coffee&お菓子: 16:00~16:30 (コモンルーム)。

Matthias Hieber 氏 (TU Darmstadt, Germany)
Analysis of the Navier-Stokes and Complex Fluids Flow (ENGLISH)
[ 講演概要 ]
In this talk, we discuss the dynamics of fluid flow generated by the Navier-Stokes equations or, more generally, by models describing complex fluid flows. Besides classical questions concerning well-posedness of the underlying equations, we investigate analytically models arising in the theory of free boundary value problems, viscoelastic fluids and liquid crystals.



15:00-16:15   数理科学研究科棟(駒場) 122号室
神吉 雅崇 氏 (東京大学大学院数理科学研究科)
Discrete integrable equations over finite fields(有限体上の離散可積分方程式) (JAPANESE)


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)



16:40-17:40   数理科学研究科棟(駒場) 056号室
寺門康裕 氏 (東京大学数理科学研究科)
The determinant of a double covering of the projective space of even dimension and the discriminant of the branch locus (JAPANESE)


16:30-18:00   数理科学研究科棟(駒場) 118号室
Mikael Pichot 氏 (McGill Univ.)
The sofic property for groups and dynamical systems (ENGLISH)



10:30-11:30   数理科学研究科棟(駒場) 056号室
Matthias Hieber 氏 (Technische Universität Darmstadt)
Analysis of the Simplified Ericksen-Leslie Model for Liquid Crystals (ENGLISH)
[ 講演概要 ]
Consider the Ericksen-Leslie model for the flow of liquid crystals in a bounded domain $\\Omega \\subset \\R^n$. In this talk we discuss various simplifications of the general model and describe a dynamic theory for the simplified equations by analyzing it as a quasilinear system. In particular, we show the existence of a unique, global, strong solutions to this system provided the initial data are close to an equilibrium or the solution is eventually bounded in the norm of the underlying state space. In this case the solution converges exponentially to an equilibrium. Moreover, the solution is shown to be real analytic, jointly in time and space.
We further analyze a non-isothermal extension of this model safisfying the first and second law of thermodynamics and show that results of the above type hold as well in this setting.
This is joint work with M. Nesensohn, J. Prüss and K. Schade.


16:30-18:00   数理科学研究科棟(駒場) 002号室
笹本明 氏 ((独)産業技術総合研究所)
亀裂を有する2次元Laplace方程式の境界積分法による解法例 (JAPANESE)
[ 講演概要 ]
[ 講演参考URL ]


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)



13:30-14:45   数理科学研究科棟(駒場) 128号室
阿部 健 氏 (東京大学大学院数理科学研究科)
The Stokes semigroup on non-decaying spaces(非減衰空間上のストークス半群) (JAPANESE)


15:30-16:45   数理科学研究科棟(駒場) 128号室
浜向 直 氏 (東京大学大学院数理科学研究科)
A few topics related to maximum principles(最大値原理に関連する諸課題) (JAPANESE)


15:30-17:00   数理科学研究科棟(駒場) 122号室
Stavros Papadakis 氏 (RIMS)
Equivariant degenerations of spherical modules (ENGLISH)
[ 講演概要 ]
Given a reductive algebraic group G and an invariant
Hilbert function h, Alexeev and Brion have defined
a moduli scheme M which parametrizes affine G-schemes X
with the property that the coordinate ring of X decomposes,
as G-module, according to the function h. The talk will
be about joint work with Bart Van Steirteghem (New York)
which studies the moduli scheme M under some additional


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)



13:00-18:00   数理科学研究科棟(駒場) 128号室
寺澤 祐高 氏 (東京大学) 13:30-15:00
Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows
[ 講演概要 ]
We consider a phase field model for the flow of two partly miscible incompressible, viscous fluids of Non-Newtonian (power law) type. In the model it is assumed that the densities of the fluids are equal. We prove existence of weak solutions for general initial data and arbitrarily large times with the aid of a parabolic Lipschitz truncation method, which preserves solenoidal velocity fields and was recently developed by Breit, Diening, and Schwarzacher. Lipshitz truncation is related with a level set of Hardy-Littlewood maximal function of derivatives of functions.
This talk is based on a joint work with Professor Helmut Abels (Regensburg) and Professor Lars Diening (Munich).
冨田 直人 氏 (大阪大学) 15:30-17:00
[ 講演概要 ]



16:30-18:00   数理科学研究科棟(駒場) 118号室
大泉 嶺 氏 (北海道大学環境科学院)
齢-サイズ構造モデルにおける経路積分表示とEuler-Lotka方程式 (JAPANESE)
[ 講演概要 ]



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