過去の記録 ~11/11本日 11/12 | 今後の予定 11/13~


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 ]




16:30-18:00   数理科学研究科棟(駒場) 117号室
Birgit Speh 氏 (Cornell University)
Representations of reductive groups and L-functions (I) (ENGLISH)
[ 講演概要 ]
This is an introduction to the theory of L-functions and in particular of the local L-factors of representations in real and complex groups. Some familiarity with infinite dimensional representations would be very helpful, but I will not assume any knowledge of number theory. We will start in the first lecture by considering L-functions for Groessen characters and classical automorphic forms, in other words for automorphic representations of G(1) and GL(2). This will motivate the definition of the local L-factors of representations of GL(1,R) and GL(2,R). Then we will discuss Rankin convolutions and define the L-factors for infinite dimensional tempered representations of GL(n,R).


Kavli IPMU Komaba Seminar

17:00-18:30   数理科学研究科棟(駒場) 002号室
Daniel Pomerleano 氏 (Kavli IPMU)
Homological Mirror Symmetry for toric Calabi-Yau varieties (ENGLISH)
[ 講演概要 ]
I will discuss some recent developments in Homological Mirror
Symmetry for toric Calabi-Yau varieties.



17:10-18:10   数理科学研究科棟(駒場) 056号室
Tea: 16:50 - 17:10 コモンルーム
山田 澄生 氏 (学習院大学)
実双曲空間の新しいモデルについて (JAPANESE)
[ 講演概要 ]
本講演ではクラインおよびポアンカレ以来位相幾何学の発展に伴って多くの重要な空間を提供してきた実双曲空間の実現について、 道具立ては古典的ではあるが新しいモデルを紹介する。それらの構成法は凸幾何学と射影幾何学と密接に関連しており、数学史の観点 からも興味深いと思われる。これはAthanase Papadopoulosとの共同研究である。


16:30-18:00   数理科学研究科棟(駒場) 002号室
Karel Svadlenka 氏 (金沢大学理工研究域)
界面ネットワークの運動の数値計算について (JAPANESE)
[ 講演概要 ]
[ 講演参考URL ]



10:00-11:30   数理科学研究科棟(駒場) 122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.
Changzheng Li 氏 (IPMU)
Primitive forms via polyvector fields (ENGLISH)
[ 講演概要 ]
The theory of primitive forms was introduced by Kyoji Saito in early 1980s, which was first known in singularity theory and has attracted much attention in mirror symmetry recently. In this talk, we will introduce a differential geometric approach to primitive forms, using compactly supported polyvector fields. We will first introduce the notion of primitive forms, making it acceptable to general audience. We will use the example of the mirror Laudau-Ginzberg model of P^1 to illustrate such approach. This is my joint work with Si Li and Kyoji Saito.



17:00-18:00   数理科学研究科棟(駒場) 056号室
谷田川友里 氏 (東京大学数理科学研究科)
On ramification filtration of local fields of equal characteristic (JAPANESE)



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
Ryan Budney 氏 (University of Victoria)
Smooth 3-manifolds in the 4-sphere (ENGLISH)
[ 講演概要 ]
Everyone who has studied topology knows the compact 2-manifolds that embed in the 3-sphere. One dimension up, the problem of which smooth 3-manifolds embed in the 4-sphere turns out to be much more involved with a handful of partial answers. I will describe what is known at the present moment.


16:30-18:00   数理科学研究科棟(駒場) 118号室
Tom\'as Lungenstrass 氏 (Pontificia Universidad Catolica de Chile)
A Trace Formula for Long-Range Perturbations of the Landau Hamiltonian
(Joint work with Georgi Raikov) (ENGLISH)
[ 講演概要 ]
The Landau Hamiltonian describes the dynamics of a two-dimensional
charged particle subject to a constant magnetic field. Its spectrum
consists in eigenvalues of infinite multiplicity given by $B(2q+1)$, $q\\in Z_+$. We
consider perturbations of this operator by including a continuous
electric potential that decays slowly at infinity (as $|x|^{-\\rho}$, $0<\\rho<1$).
The spectrum of the perturbed operator consists of eigenvalue clusters
which accumulate to the Landau levels. We provide estimates for the
rate at which the clusters shrink as we move up the energy levels.
Further, we obtain an explicit description of the asymptotic density
of eigenvalues for asymptotically homogeneous long-range potentials in
terms of a mean-value transform of the associated homogeneous



10:30-12:00   数理科学研究科棟(駒場) 126号室
糟谷久矢 氏 (東京工業大学)
Cohomologies and deformations of solvmanifolds (JAPANESE)
[ 講演概要 ]
$G$を単連結可解リー群とし, $G$はココンパクト離散部分群$\Gamma$を持つとする. この時, コンパクト等質空間$G/\Gamma$をsolvmanifoldと呼ぶ. 本講演では, solvmanifoldのde Rhamコホモロジー, Dolbeaultコホモロジー, Bott-Chernコホモロジーの計算法を紹介する. さらにその計算法を用いた, ホッジ理論と変形理論の研究を紹介する.

Kavli IPMU Komaba Seminar

17:00-18:30   数理科学研究科棟(駒場) 122号室
Richard Eager 氏 (Kavli IPMU)
Elliptic genera and two dimensional gauge theories (ENGLISH)
[ 講演概要 ]
The elliptic genus is an important invariant of two dimensional conformal field theories that generalizes the Witten index. In this talk, I will first review the geometric meaning of the elliptic genus and Witten's GLSM construction. Then I will explain how the elliptic genus can be computed directly from a two dimensional gauge theory using localization. The central example of this talk will be the quintic threefold. The GLSM description of the quintic threefold has both a large-volume sigma model description and a Landau-Ginzburg description. I will explain how the GLSM calculation of the index reproduces the old results in these two phases. Time permitting, further applications and generalizations will be discussed.


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.


16:15-17:15   数理科学研究科棟(駒場) 270号室
Oleg Emanouilov 氏 (Colorado State Univ.)
Two-dimensional Calderon problems for Navier-Stokes equations and Lame system (ENGLISH)
[ 講演概要 ]
We will prove the uniqueness in determining viscosity in two-dimensional Navier-Stokes equations by Dirichlet-to-Neumann map.
Moreover, without any smallness assumption, we establish the uniqueness in determining two Lame coefficients in two-dimensional isotropic Lame system Dirichlet-to-Neumann map.



16:30-18:00   数理科学研究科棟(駒場) 002号室
Szymon M. Walczak 氏 (University of Lodz, Poland)
Geometric applications of Wasserstein distance,
Lecture (IV) Applications to differential geometry and foliations (ENGLISH)
[ 講演参考URL ]

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