過去の記録 ~08/18本日 08/19 | 今後の予定 08/20~


15:00-16:30   数理科学研究科棟(駒場) 128号室
Prof. Steven Zucker 氏 (Johns Hopkins University)
The RBS compactification: a real stratified space in
algebraic geometry



10:30-11:30   数理科学研究科棟(駒場) 056号室
前川泰則 氏 (神戸大学)
Stability of the Burgers vortex
[ 講演概要 ]
The Burgers vortex is an exact vortex solution to the three dimensional stationary Navier-Stokes equations for viscous incompressible fluids in the presence of an axisymmetric background straining flow. In this talk we discuss the stability of the Burgers vortex with respect to two or three dimensional perturbation flows.


17:30-19:00   数理科学研究科棟(駒場) 122号室
鍛冶 俊輔 氏 (大阪大)
Financial inverse problem and reconstruction of infinitely divisible distributions with Gaussian component (小谷真一氏(関西学院大)との共同研究)


16:30-17:30   数理科学研究科棟(駒場) 056号室
廣江 一希 氏 (東京大学大学院数理科学研究科)
Generalized Whittaker functions for degenerate principal series of GL(4,R)



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
Mark Hamilton 氏 (東京大学大学院数理科学研究科, JSPS)
Geometric quantization of integrable systems
[ 講演概要 ]
The theory of geometric quantization is one way of producing a "quantum system" from a "classical system," and has been studied a great deal over the past several decades. It also has surprising ties to representation theory. However, despite this, there still does not exist a satisfactory theory of quantization for systems with singularities.

Geometric quantization requires the choice of a polarization; when using a real polarization to quantize a regular enough manifold, a result of Sniatycki says that the quantization can be found by counting certain objects, called Bohr-Sommerfeld fibres. However, there are many types of systems to which this result does not apply. One such type is the class of completely integrable systems, which are examples coming from mechanics that have many nice properties, but which are nontheless too singular for Sniatycki's theorem to apply.

In this talk we will explore one approach to the quantization of integrable systems, and show a Sniatycki-type relationship to Bohr-Sommerfeld fibres. However, some surprising features appear, including infinite-dimensional contributions and strong dependence on the polarization.

This is joint work with Eva Miranda.



10:30-12:00   数理科学研究科棟(駒場) 126号室
本多宣博 氏 (東京工業大学)
Conformal symmetries of self-dual hyperbolic monopole metrics (joint work with Jeff Viaclovsky)



13:30-16:00   数理科学研究科棟(駒場) 123号室
水野 義紀 氏 (徳島大学工学部) 13:30-14:30
[ 講演概要 ]
数については菊田俊之氏との共同研究、その他はRoland Matthes氏との共同研究です。)
宮崎 直 氏 (東京大学数理科学研究科) 15:00-16:00
The Eisenstein series for $GL(3,Z)$ induced from cusp forms
[ 講演概要 ]



16:00-17:30   数理科学研究科棟(駒場) 002号室
東海林 まゆみ 氏 (日本女子大学・理学部・数物科学科)
Particle trajectories around a running cylinder in Brinkman's porous-media flow
[ 講演概要 ]
Motion of fluid particles provides us with interesting problems of dynamical
systems. We consider here the movement of particles around a running cylinder.
Classically J. C. Maxwell (1870) considered the problem in irrotational flow of
inviscid fluid. He showed that the complete solution is given by the elliptic
functions and the trajectory forms one of the elastica curves. C. Darwin ('53)
considered a similar problem for a moving sphere. In this case, the solution
cannot be written in terms of elliptic functions but can be expressed by a
simple definite integral.
We consider a similar problem in Brinkman's porous-media flow which is proposed
by Brinkman ('49). Our numerical examinations reveals some new interesting
features of the particle trajectories which are not observed in the case of
irrotational flow. We will report them.


16:30-18:00   数理科学研究科棟(駒場) 056号室
Raphael Ponge 氏 (東大数理)
Noncommutative geometry and lower dimensional volumes in Riemannian and CR geometry


16:00-17:30   数理科学研究科棟(駒場) 123号室
岩見真吾 氏 (静岡大学創造科学技術大学院)
[ 講演概要 ]



16:30-18:45   数理科学研究科棟(駒場) 056号室
大久保 俊 氏 (東京大学大学院数理科学研究科) 16:30-17:30
斎藤 秀司 氏 (東京大学大学院数理科学研究科) 17:45-18:45
A counterexample of Bloch-Kato conjecture over a local field and infinite torsion in algebraic cycles of codimension two



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
松田 能文 氏 (東京大学大学院数理科学研究科)
Discrete subgroups of the group of circle diffeomorphisms
[ 講演概要 ]
Typical examples of discrete subgroups of the group of circle diffeomorphisms
are Fuchsian groups.
In this talk, we construct discrete subgroups of the group of
real analytic cirlcle diffeomorphisms
which are not topologically conjugate to finite coverings of Fuchsian groups.


16:20-17:30   数理科学研究科棟(駒場) 126号室
塩濱 敬之 氏 (東京理科大学, 工学部)
Asymptitically efficient estimation of multiple change points in GARCH types models
[ 講演概要 ]
Instability of volatility parameters in GARCH models in an important issue for analyzing financial time series. In this paper we investigate the asymptotic theory for multiple change point estimators of GARCH$(p,q)$ models. When the parameters of a GARCH models have changed within an observed realization, two types estimators, Maximum likelihood estimator (MLE) and Bayesian estimator (BE), are proposed. Then we derive the asymptotic distributions for these estimators. The MLE and BE have different limit laws, and the BE is asymptotically efficient. Monte Carlo studies on the finite sample behaviors are conducted. Applications to Nikkei 225 index are discussed.
[ 講演参考URL ]



10:30-12:00   数理科学研究科棟(駒場) 126号室
林本厚志 氏 (長野高専)



16:30-18:00   数理科学研究科棟(駒場) 056号室
見村万佐人 氏 (東大数理)
A fixed point property and the Kazhdan property of
$SL(n, \\mathbb{Z} [X_1, \\ldots , X_k])$ for Banach spaces



16:00-17:30   数理科学研究科棟(駒場) 002号室
池田 幸太 氏 (明治大 研究・知財戦略機構)
[ 講演概要 ]


16:30-18:00   数理科学研究科棟(駒場) 056号室
酒匂宏樹 氏 (東大数理)
Measure Equivalence Rigidity and Bi-exactness of Groups



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
平地 健吾 氏 (東京大学大学院数理科学研究科)
The ambient metric in conformal geometry
[ 講演概要 ]
In 1985, Charles Fefferman and Robin Graham gave a method for realizing a conformal manifold of dimension n as a submanifold of a Ricci-flat Lorentz metric on a manifold of dimension n+2, which is now called the ambient space. Using this correspondence, one can construct many examples of conformal invariants and conformally invariant operators. However, if n is even, their construction of the ambient space is obstructed at the jet of order n/2 and thereby the application of the ambient space was limited. In this talk, I'll recall basic ideas of the ambient space and then explain how to avoid the difficulty and go beyond the obstruction. This is a joint work with Robin Graham.


16:30-18:00   数理科学研究科棟(駒場) 128号室
下村 明洋 氏 (首都大学東京)



15:30-18:00   数理科学研究科棟(駒場) 122号室
Prof. Alessandra Sarti 氏 (Universite de Poitier) 15:30-16:30
Automorphism groups of K3 surfaces
[ 講演概要 ]
I will present recent progress in the study of prime order automorphisms of K3 surfaces.
An automorphism is called (non-) symplectic if the induced
operation on the global nowhere vanishing holomorphic two form
is (non-) trivial. After a short survey on the topic, I will
describe the topological structure of the fixed locus, the
geometry of these K3 surfaces and their moduli spaces.

Prof. Samuel Boissier 氏 (Universite de Nice
) 17:00-18:00
The cohomological crepant resolution conjecture

[ 講演概要 ]
The cohomological crepant resolution conjecture is one
form of Ruan's conjecture concerning the relation between the
geometry of a quotient singularity X/G - where X is a smooth
complex variety and G a finite group of automorphisms - and the
geometry of a crepant resolution of singularities of X/G ; it
generalizes the classical McKay correspondence. Following the
examples of the Hilbert schemes of points on surfaces and the
weighted projective spaces, I will present some of the recents
developments of the subject.



16:30-18:00   数理科学研究科棟(駒場) 128号室
内藤克利 氏 (首都大)
Entire Cyclic Cohomology of Noncommutative 2-Tori



10:30-11:30   数理科学研究科棟(駒場) 128号室
Wilhelm Klingenberg 氏 (University of Durham)
From Codazzi-Mainardi to Cauchy-Riemann
[ 講演概要 ]
In joint work with Brendan Guilfoyle we established an upper bound for the winding number of the principal curvature foliation at any isolated umbilic of a surface in Euclidean three-space. In our talk, we will focus on the analytic core of the problem. Here is a model of the triaxial ellipsoid with its curvature foliation and one umbilic on the right.


14:45-18:00   数理科学研究科棟(駒場) 122号室

中田文憲 氏 (東京工業大学理工学研究科) 14:45-16:15
Einstein-Weyl structures on 3-dimensional Severi varieties
[ 講演概要 ]
The space of nodal curves on a projective surface is called a Severi variety.In this talk, we show that any Severi variety of nodal rational curves on a non-singular projective surface is always equipped with a natural Einstein-Weyl structure, if the space is 3-dimensional. This is a generalization of the Einstein-Weyl structure on the space of smooth rational curves on a complex surface, given by N. Hitchin in the context of twistor theory. We will explain some properties of the Einstein-Weyl spaces given by this method, and we will also show some examples of such Einstein-Weyl spaces. (This is a joint work with Nobuhiro Honda.)
Tamas Hausel 氏 (Oxford University) 16:30-18:00
Toric non-Abelian Hodge theory
[ 講演概要 ]
First we give an overview of the geometrical and topological aspects of the spaces in the non-Abelian Hodge theory of a curve and their connection with quiver varieties. Then by concentrating on toric hyperkaehler varieties in place of quiver varieties we construct the toric Betti, De Rham and Dolbeault spaces and prove several of the expected properties of the geometry and topology of these varieties. This is joint work with Nick Proudfoot.


15:00-16:10   数理科学研究科棟(駒場) 128号室
Arnaud DOUCET 氏 (統計数理研究所)
Interacting Markov chain Monte Carlo Methods for Solving Nonlinear Measure-Valued Equations
[ 講演概要 ]
We present a new class of interacting Markov chain Monte Carlo algorithms for solving numerically discrete-time measure-valued equations. The associated stochastic processes belong to the class of self-interacting Markov chains. In contrast to traditional Markov chains, their time evolution depend on the occupation measure of their past values. This general methodology allows us to provide a natural way to sample from a sequence of target probability measures of increasing complexity. We develop an original theoretical analysis to analyze the behaviour of these iterative algorithms. We establish a variety of convergence results including exponential estimates and a uniform convergence theorem with respect to the number of target distributions. We also illustrate these algorithms in the context of Feynman-Kac distribution flows.
(this is joint work with Professor Pierre Del Moral)
[ 講演参考URL ]



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
Ivan Marin 氏 (Univ. Paris VII)
Some algebraic aspects of KZ systems
[ 講演概要 ]
Knizhnik-Zamolodchikov (KZ) systems enables one
to construct representations of (generalized)
braid groups. While this geometric construction is
now very well understood, it still brings to
attention, or helps constructing, new algebraic objects.
In this talk, we will present some of them, including an
infinitesimal version of Iwahori-Hecke algebras and a
generalization of the Krammer representations of the usual
braid groups.

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