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過去の記録
過去の記録 ～04/26｜本日 04/27 | 今後の予定 04/28～
講演会
15:00-16:00 数理科学研究科棟(駒場) 570号室
大学院生・若手研究者を対象とした第1回GCOEレクチャーです。
Joachim Hilgert 氏 (Paderborn University)
GCOEレクチャー"Holomorphic extensions of unitary representations" その2 "Geometric Background"
http://faculty.ms.u-tokyo.ac.jp/users/gcoe/GCOE_lecture0810Hilgert.html
大学院生・若手研究者を対象とした第1回GCOEレクチャーです。
Joachim Hilgert 氏 (Paderborn University)
GCOEレクチャー"Holomorphic extensions of unitary representations" その2 "Geometric Background"
[ 講演概要 ]
In this lecture we will explain the complex geometry needed to understand the phenomena described in the first lecture. The key words here are Olshanski semigroups, invariant cones in Lie algebras, Akhiezer-Gindikin domain, and coadjoint orbits of convex type.
[ 参考URL ]In this lecture we will explain the complex geometry needed to understand the phenomena described in the first lecture. The key words here are Olshanski semigroups, invariant cones in Lie algebras, Akhiezer-Gindikin domain, and coadjoint orbits of convex type.
http://faculty.ms.u-tokyo.ac.jp/users/gcoe/GCOE_lecture0810Hilgert.html
GCOEレクチャーズ
15:00-16:00 数理科学研究科棟(駒場) 122号室
大学院生・若手研究者を対象とした第1回GCOEレクチャーです。
Joachim Hilgert 氏 (Paderborn University)
Holomorphic extensions of unitary representations その2 Geometric background
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar2008.html#20081014hilgert
大学院生・若手研究者を対象とした第1回GCOEレクチャーです。
Joachim Hilgert 氏 (Paderborn University)
Holomorphic extensions of unitary representations その2 Geometric background
[ 講演概要 ]
In this lecture we will explain the complex geometry needed to understand the phenomena described in the first lecture. The key words here are Olshanski semigroups, invariant cones in Lie algebras, Akhiezer-Gindikin domain, and coadjoint orbits of convex type.
[ 参考URL ]In this lecture we will explain the complex geometry needed to understand the phenomena described in the first lecture. The key words here are Olshanski semigroups, invariant cones in Lie algebras, Akhiezer-Gindikin domain, and coadjoint orbits of convex type.
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar2008.html#20081014hilgert
2008年10月14日(火)
トポロジー火曜セミナー
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
Jeffrey Herschel Giansiracusa 氏 (Oxford University)
Pontrjagin-Thom maps and the Deligne-Mumford compactification
Tea: 16:00 - 16:30 コモンルーム
Jeffrey Herschel Giansiracusa 氏 (Oxford University)
Pontrjagin-Thom maps and the Deligne-Mumford compactification
[ 講演概要 ]
An embedding f: M -> N produces, via a construction of Pontrjagin-Thom, a map from N to the Thom space of the normal bundle over M. If f is an arbitrary map then one instead gets a map from N to the infinite loop space of the Thom spectrum of the normal bundle of f. We extend this Pontrjagin-Thom construction of wrong-way maps to differentiable stacks and use it to produce interesting maps from the Deligne-Mumford compactification of the moduli space of curves to certain infinite loop spaces. We show that these maps are surjective on mod p homology in a range of degrees. We thus produce large new families of torsion cohomology classes on the Deligne-Mumford compactification.
An embedding f: M -> N produces, via a construction of Pontrjagin-Thom, a map from N to the Thom space of the normal bundle over M. If f is an arbitrary map then one instead gets a map from N to the infinite loop space of the Thom spectrum of the normal bundle of f. We extend this Pontrjagin-Thom construction of wrong-way maps to differentiable stacks and use it to produce interesting maps from the Deligne-Mumford compactification of the moduli space of curves to certain infinite loop spaces. We show that these maps are surjective on mod p homology in a range of degrees. We thus produce large new families of torsion cohomology classes on the Deligne-Mumford compactification.
講演会
16:00-17:30 数理科学研究科棟(駒場) 002号室
George Sell 氏 (ミネソタ大学)
連続講演 "Thin 3D Navier-Stokes equations" (3次元薄層領域上のナビエストークス方程式) その1
Ultimate boundedness of solutions with large data and global attractors
George Sell 氏 (ミネソタ大学)
連続講演 "Thin 3D Navier-Stokes equations" (3次元薄層領域上のナビエストークス方程式) その1
Ultimate boundedness of solutions with large data and global attractors
[ 講演概要 ]
In both lectures we will examine a new topic of the thin 3D Navier-Stokes equations with Navier boundary conditions.
In the first lecture we will treat the ultimate boundedness of strong solutions and the related theory of global attractors.
In the second lecture, which will include a brief summary of the first lecture, we will examine the role played by the 2D Limit Problem. These issues are a special challenge for analysis because the 2D Limit Problem is NOT imbedded the 3D problem.
These lectures are based on joint work with Genevieve Raugel, Dragos Iftimie, and Luan Hoang.
In both lectures we will examine a new topic of the thin 3D Navier-Stokes equations with Navier boundary conditions.
In the first lecture we will treat the ultimate boundedness of strong solutions and the related theory of global attractors.
In the second lecture, which will include a brief summary of the first lecture, we will examine the role played by the 2D Limit Problem. These issues are a special challenge for analysis because the 2D Limit Problem is NOT imbedded the 3D problem.
These lectures are based on joint work with Genevieve Raugel, Dragos Iftimie, and Luan Hoang.
解析学火曜セミナー
16:00-17:30 数理科学研究科棟(駒場) 002号室
GCOE講演会と共催です.部屋と時間が通常と異なりますのでご注意ください
George Sell 氏 (ミネソタ大学)
Thin 3D Navier-Stokes equations: Ultimate boundedness of solutions with large data and global attractors
GCOE講演会と共催です.部屋と時間が通常と異なりますのでご注意ください
George Sell 氏 (ミネソタ大学)
Thin 3D Navier-Stokes equations: Ultimate boundedness of solutions with large data and global attractors
[ 講演概要 ]
グローバルCOE連続講演会と共催です.詳細はそちらをご覧ください.
グローバルCOE連続講演会と共催です.詳細はそちらをご覧ください.
講演会
15:00-16:00 数理科学研究科棟(駒場) 570号室
大学院生・若手研究者を対象とした第1回GCOEレクチャーです。
Joachim Hilgert 氏 (Paderborn University)
GCOEレクチャー"Holomorphic extensions of unitary representations" その1 "Overview and Examples"
http://faculty.ms.u-tokyo.ac.jp/users/gcoe/GCOE_lecture0810Hilgert.html
大学院生・若手研究者を対象とした第1回GCOEレクチャーです。
Joachim Hilgert 氏 (Paderborn University)
GCOEレクチャー"Holomorphic extensions of unitary representations" その1 "Overview and Examples"
[ 講演概要 ]
In this lecture we present the Gelfand-Gindikin program of decomposing $L^2$-spaces into families of irreducible representations using complex geometry. We then briefly outline results due to Olshanski, Hilgert-Olafsson-Orsted, Hilgert-Neeb-Orsted, Krotz-Stanton and others in this direction. In particular, we will explain holomorphic extensions of holomorphic discrete series representations and their relation to Hardy and weighted Bergman spaces.
[ 参考URL ]In this lecture we present the Gelfand-Gindikin program of decomposing $L^2$-spaces into families of irreducible representations using complex geometry. We then briefly outline results due to Olshanski, Hilgert-Olafsson-Orsted, Hilgert-Neeb-Orsted, Krotz-Stanton and others in this direction. In particular, we will explain holomorphic extensions of holomorphic discrete series representations and their relation to Hardy and weighted Bergman spaces.
http://faculty.ms.u-tokyo.ac.jp/users/gcoe/GCOE_lecture0810Hilgert.html
Lie群論・表現論セミナー
16:30-18:00 数理科学研究科棟(駒場) 126号室
Jan Moellers 氏 (Paderborn University)
The Dirichlet-to-Neumann map as a pseudodifferential
operator
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html
Jan Moellers 氏 (Paderborn University)
The Dirichlet-to-Neumann map as a pseudodifferential
operator
[ 講演概要 ]
Both Dirichlet and Neumann boundary conditions for the Laplace equation are of fundamental importance in Mathematics and Physics. Given a compact connected Riemannian manifold $M$ with boundary $\\partial M$ the Dirichlet-to-Neumann operator $\\Lambda_g$ maps Dirichlet boundary data $f$ to the corresponding Neumann boundary data $\\Lambda_g f =(\\partial_\\nu u)|_{\\partial M}$ where $u$ denotes the unique solution to the Dirichlet problem $\\laplace_g u=0$ in $M$, $u|_{\\partial M} = f$.
The main statement is that this operator is a first order elliptic pseudodifferential operator on the boundary $\\partial M$.
We will first give a brief overview of how to define the Dirichlet-to-Neumann operator as a map $\\Lambda_g:H^{1/2}(\\partial M)\\longrightarrow H^{-1/2}(\\partial M)$ between Sobolev spaces. In order to show that it is actually a pseudodifferential operator we introduce tangential pseudodifferential operators. This allows us to derive a
microlocal factorization of the Laplacian near boundary points. Together with a regularity statement for the heat equation this will finally give the main result.
[ 参考URL ]Both Dirichlet and Neumann boundary conditions for the Laplace equation are of fundamental importance in Mathematics and Physics. Given a compact connected Riemannian manifold $M$ with boundary $\\partial M$ the Dirichlet-to-Neumann operator $\\Lambda_g$ maps Dirichlet boundary data $f$ to the corresponding Neumann boundary data $\\Lambda_g f =(\\partial_\\nu u)|_{\\partial M}$ where $u$ denotes the unique solution to the Dirichlet problem $\\laplace_g u=0$ in $M$, $u|_{\\partial M} = f$.
The main statement is that this operator is a first order elliptic pseudodifferential operator on the boundary $\\partial M$.
We will first give a brief overview of how to define the Dirichlet-to-Neumann operator as a map $\\Lambda_g:H^{1/2}(\\partial M)\\longrightarrow H^{-1/2}(\\partial M)$ between Sobolev spaces. In order to show that it is actually a pseudodifferential operator we introduce tangential pseudodifferential operators. This allows us to derive a
microlocal factorization of the Laplacian near boundary points. Together with a regularity statement for the heat equation this will finally give the main result.
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html
GCOEレクチャーズ
15:00-16:00 数理科学研究科棟(駒場) 118号室
Joachim Hilgert 氏 (Paderborn University)
Holomorphic extensions of unitary representations" その1 "Overview and Examples"
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar2008.html#20081014hilgert
Joachim Hilgert 氏 (Paderborn University)
Holomorphic extensions of unitary representations" その1 "Overview and Examples"
[ 講演概要 ]
In this lecture we present the Gelfand-Gindikin program of decomposing $L^2$-spaces into families of irreducible representations using complex geometry. We then briefly outline results due to Olshanski, Hilgert-Olafsson-Orsted, Hilgert-Neeb-Orsted, Krotz-Stanton and others in this direction. In particular, we will explain holomorphic extensions of holomorphic discrete series representations and their relation to Hardy and weighted Bergman spaces.
[ 参考URL ]In this lecture we present the Gelfand-Gindikin program of decomposing $L^2$-spaces into families of irreducible representations using complex geometry. We then briefly outline results due to Olshanski, Hilgert-Olafsson-Orsted, Hilgert-Neeb-Orsted, Krotz-Stanton and others in this direction. In particular, we will explain holomorphic extensions of holomorphic discrete series representations and their relation to Hardy and weighted Bergman spaces.
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar2008.html#20081014hilgert
2008年10月10日(金)
GCOE社会数理講演シリーズ
16:20-17:50 数理科学研究科棟(駒場) 128号室
岩根 和郎 氏 (岩根研究所)
岩根研究所における画像処理技術の紹介Ⅰ; 画像の数学的解析によるCV技術開発と3次元GIS
岩根 和郎 氏 (岩根研究所)
岩根研究所における画像処理技術の紹介Ⅰ; 画像の数学的解析によるCV技術開発と3次元GIS
2008年10月06日(月)
複素解析幾何セミナー
10:30-12:00 数理科学研究科棟(駒場) 128号室
杉山 健一 氏 (千葉大理)
Lichtenbaum予想の幾何学的類似
杉山 健一 氏 (千葉大理)
Lichtenbaum予想の幾何学的類似
2008年10月03日(金)
GCOE社会数理講演シリーズ
16:20-17:50 数理科学研究科棟(駒場) 128号室
岡本 龍明 氏 (NTT研究所)
暗号の基礎編
岡本 龍明 氏 (NTT研究所)
暗号の基礎編
2008年09月29日(月)
代数学コロキウム
16:30-17:30 数理科学研究科棟(駒場) 117号室
いつもと曜日が異なりますのでご注意下さい.
Christopher Deninger 氏 (Munster大学)
A determinant for p-adic group algebras
いつもと曜日が異なりますのでご注意下さい.
Christopher Deninger 氏 (Munster大学)
A determinant for p-adic group algebras
[ 講演概要 ]
For a discrete countable group G there is a classical determinant on the units of the L^1-convolution algebra of G. It is defined using functional analysis and can be used for example to calculate the entropy of certain G-actions. We will discuss a p-adic analogue of this theory. Instead of functional analysis the definition of the p-adic determinant uses algebraic K-theory. It has an application to the study of the p-adic distribution of periodic G-orbits in certain G-action.
For a discrete countable group G there is a classical determinant on the units of the L^1-convolution algebra of G. It is defined using functional analysis and can be used for example to calculate the entropy of certain G-actions. We will discuss a p-adic analogue of this theory. Instead of functional analysis the definition of the p-adic determinant uses algebraic K-theory. It has an application to the study of the p-adic distribution of periodic G-orbits in certain G-action.
2008年09月22日(月)
講演会
14:45-15:45 数理科学研究科棟(駒場) 122号室
Jean-Dominique Deuschel 氏 (TU Berlin)
Invariance principle for the random conductance model
with unbounded conductances (a joint work with Martin Barlow)
Jean-Dominique Deuschel 氏 (TU Berlin)
Invariance principle for the random conductance model
with unbounded conductances (a joint work with Martin Barlow)
講演会
16:00-17:00 数理科学研究科棟(駒場) 122号室
Sergio Albeverio 氏 (Bonn 大学)
Asymptotic expansions of infinite dimensional integrals with applications (quantum mechanics, mathematical finance, biology)
Sergio Albeverio 氏 (Bonn 大学)
Asymptotic expansions of infinite dimensional integrals with applications (quantum mechanics, mathematical finance, biology)
2008年09月17日(水)
作用素環セミナー
16:30-18:00 数理科学研究科棟(駒場) 128号室
ティータイム@コモンルーム 16:00~
Cyril Houdayer 氏 (UCLA)
Free Araki-Woods Factors and Connes's Bicentralizer Problem
ティータイム@コモンルーム 16:00~
Cyril Houdayer 氏 (UCLA)
Free Araki-Woods Factors and Connes's Bicentralizer Problem
2008年09月09日(火)
作用素環セミナー
16:30-18:00 数理科学研究科棟(駒場) 128号室
Yves de Cornulier 氏 (CNRS, Rennes)
The space of subgroups of an abelian group
Yves de Cornulier 氏 (CNRS, Rennes)
The space of subgroups of an abelian group
2008年09月08日(月)
Lie群論・表現論セミナー
11:00-12:00 数理科学研究科棟(駒場) 126号室
Federico Incitti 氏 (ローマ第 1 大学)
Dyck partitions, quasi-minuscule quotients and Kazhdan-Lusztig polynomials
http://akagi.ms.u-tokyo.ac.jp/seminar.html
Federico Incitti 氏 (ローマ第 1 大学)
Dyck partitions, quasi-minuscule quotients and Kazhdan-Lusztig polynomials
[ 講演概要 ]
Kazhdan-Lusztig polynomials were first defined by Kazhdan and Lusztig in [Invent. Math., 53 (1979), 165-184]. Since then, numerous applications have been found, especially to representation theory and to the geometry of Schubert varieties. In 1987 Deodhar introduced parabolic analogues of these polynomials. These are related to their ordinary counterparts in several ways, and also play a direct role in other areas, including geometry of partial flag manifolds and the theory of Macdonald polynomials.
In this talk I study the parabolic Kazhdan-Lusztig polynomials of the quasi-minuscule quotients of the symmetric group. More precisely, I will first show how these quotients are closely related to ``rooted partitions'' and then I will give explicit, closed combinatorial formulas for the polynomials. These are based on a special class of rooted partitions the ``rooted-Dyck'' partitions, and imply that they are always (either zero or) a power of $q$.
I will conclude with some enumerative results on Dyck and rooted-Dyck partitions, showing a connection with random walks on regular trees.
This is partly based on a joint work with Francesco Brenti and Mario Marietti.
[ 参考URL ]Kazhdan-Lusztig polynomials were first defined by Kazhdan and Lusztig in [Invent. Math., 53 (1979), 165-184]. Since then, numerous applications have been found, especially to representation theory and to the geometry of Schubert varieties. In 1987 Deodhar introduced parabolic analogues of these polynomials. These are related to their ordinary counterparts in several ways, and also play a direct role in other areas, including geometry of partial flag manifolds and the theory of Macdonald polynomials.
In this talk I study the parabolic Kazhdan-Lusztig polynomials of the quasi-minuscule quotients of the symmetric group. More precisely, I will first show how these quotients are closely related to ``rooted partitions'' and then I will give explicit, closed combinatorial formulas for the polynomials. These are based on a special class of rooted partitions the ``rooted-Dyck'' partitions, and imply that they are always (either zero or) a power of $q$.
I will conclude with some enumerative results on Dyck and rooted-Dyck partitions, showing a connection with random walks on regular trees.
This is partly based on a joint work with Francesco Brenti and Mario Marietti.
http://akagi.ms.u-tokyo.ac.jp/seminar.html
2008年09月03日(水)
講演会
16:00-17:30 数理科学研究科棟(駒場) 002号室
Fred Weissler 氏 (University of Paris 13)
Finite time blowup of oscillating solutions to the nonlinear heat equation
Fred Weissler 氏 (University of Paris 13)
Finite time blowup of oscillating solutions to the nonlinear heat equation
[ 講演概要 ]
(This is joint work with T. Cazenave and F. Dickstein.)
We study finite time blowup properties of solutions of the nonlinear heat equation, both on $R^N$, and on a ball in $R^N$ with Dirichlet boundary conditions. We show, among other results, that the set of initial values producing global solutions is not always star-shaped around the 0 solution. This contrasts with the case where only non-negative solutions are considered.
(This is joint work with T. Cazenave and F. Dickstein.)
We study finite time blowup properties of solutions of the nonlinear heat equation, both on $R^N$, and on a ball in $R^N$ with Dirichlet boundary conditions. We show, among other results, that the set of initial values producing global solutions is not always star-shaped around the 0 solution. This contrasts with the case where only non-negative solutions are considered.
2008年08月27日(水)
代数学コロキウム
16:30-17:30 数理科学研究科棟(駒場) 117号室
Don Zagier 氏 (Max Planck研究所)
$q$-series and modularity
Don Zagier 氏 (Max Planck研究所)
$q$-series and modularity
2008年08月25日(月)
講演会
16:30-17:30 数理科学研究科棟(駒場) 002号室
Ronald C. King 氏 (Emeritus Professor, University of Southampton)
Affine Weyl groups, grids, coloured tableaux and characters of affine algebras
Ronald C. King 氏 (Emeritus Professor, University of Southampton)
Affine Weyl groups, grids, coloured tableaux and characters of affine algebras
[ 講演概要 ]
It is shown that certain coloured Young diagrams serve to specify not
only all the elements of the affine Weyl groups of the classical
affine Lie algebras but also their action on an arbitrary weight
vector. Through a judicious choice of coset representatives with
respect to the finite Weyl groups of the corresponding maximal rank
simple Lie algebras, both denominator and numerator formulae are
derived and exemplified, along with the explicit calculation of
characters of irreducible representations of the affine Lie algebras.
It is shown that certain coloured Young diagrams serve to specify not
only all the elements of the affine Weyl groups of the classical
affine Lie algebras but also their action on an arbitrary weight
vector. Through a judicious choice of coset representatives with
respect to the finite Weyl groups of the corresponding maximal rank
simple Lie algebras, both denominator and numerator formulae are
derived and exemplified, along with the explicit calculation of
characters of irreducible representations of the affine Lie algebras.
2008年08月21日(木)
博士論文発表会
15:00-15:40 数理科学研究科棟(駒場) 126号室
鎌谷研吾 氏 (東京大学大学院数理科学研究科)
On some asymptotic properties of the Expectation-Maximization Algorithm and the Metropolis-Hastings Algorithm (EMアルゴリズムとメトロポリス-ヘイスティングスアルゴリズムの漸近的性質)
鎌谷研吾 氏 (東京大学大学院数理科学研究科)
On some asymptotic properties of the Expectation-Maximization Algorithm and the Metropolis-Hastings Algorithm (EMアルゴリズムとメトロポリス-ヘイスティングスアルゴリズムの漸近的性質)
2008年08月06日(水)
諸分野のための数学研究会
10:30-14:00 数理科学研究科棟(駒場) 056号室
伊東一文氏(10:30-11:30)
Yimin Wei氏(13:00-14:00)
Kazufumi Ito 氏 (North Carolina State University) 10:30-11:30
Adaptive Tikhonov Regularization for Inverse Problems
On mixed and componentwise condition numbers for Moore-Penrose inverse and linear least squares problems
伊東一文氏(10:30-11:30)
Yimin Wei氏(13:00-14:00)
Kazufumi Ito 氏 (North Carolina State University) 10:30-11:30
Adaptive Tikhonov Regularization for Inverse Problems
[ 講演概要 ]
Tikhonov regularization method plays a critical role in ill-posed inverse problems, arising in applications including computerized tomography, inverse scattering and image processing. The goodness of the inverse solution heavily depends on selection of the regularization parameter. Commonly used methods rely on a priori knowledge of the noise level. A method that automatically estimates the noise level and selects the regularization parameter automatically is presented.
Yimin Wei 氏 (Fudan University) 13:00-14:00Tikhonov regularization method plays a critical role in ill-posed inverse problems, arising in applications including computerized tomography, inverse scattering and image processing. The goodness of the inverse solution heavily depends on selection of the regularization parameter. Commonly used methods rely on a priori knowledge of the noise level. A method that automatically estimates the noise level and selects the regularization parameter automatically is presented.
On mixed and componentwise condition numbers for Moore-Penrose inverse and linear least squares problems
[ 講演概要 ]
Classical condition numbers are normwise: they measure the size of both input perturbations and output errors using some norms. To take into account the relative of each data component, and a possible data sparseness, componentwise condition numbers have been increasingly considered. These are mostly of two kinds: mixed and componentwise. In this talk, we give explicit expressions, computable from the data, for the mixed and componentwise condition numbers for the computation of the Moore-Penrose inverse as well as for the computation of solutions and residues of linear least squares problems. In both cases the data matrices have full column (row) rank.
Classical condition numbers are normwise: they measure the size of both input perturbations and output errors using some norms. To take into account the relative of each data component, and a possible data sparseness, componentwise condition numbers have been increasingly considered. These are mostly of two kinds: mixed and componentwise. In this talk, we give explicit expressions, computable from the data, for the mixed and componentwise condition numbers for the computation of the Moore-Penrose inverse as well as for the computation of solutions and residues of linear least squares problems. In both cases the data matrices have full column (row) rank.
数理ファイナンスセミナー
17:30-19:00 数理科学研究科棟(駒場) 122号室
楠岡 成雄 氏 (東京大)
オペレーショナルリスクと fat tail を持つ iid 確率変数の和に対する極限定理
楠岡 成雄 氏 (東京大)
オペレーショナルリスクと fat tail を持つ iid 確率変数の和に対する極限定理
2008年08月01日(金)
代数学コロキウム
13:00-18:00 数理科学研究科棟(駒場) 002号室
4講演あります.また,いつもと曜日,時間,場所が異なります.
ご注意下さい.
Olivier Brinon 氏 (Paris北大学) 13:00-14:00
B_dR-representations and Higgs bundles
Henrik Russell 氏 (Duisburg-Essen大学) 14:15-15:15
Generalized Albanese and duality
Thomas Geisser 氏 (南California大学) 15:45-16:45
Negative K-theory, homotopy invariance and regularity
On Iwasawa theory for abelian varieties over function fields of positive characteristic
4講演あります.また,いつもと曜日,時間,場所が異なります.
ご注意下さい.
Olivier Brinon 氏 (Paris北大学) 13:00-14:00
B_dR-representations and Higgs bundles
Henrik Russell 氏 (Duisburg-Essen大学) 14:15-15:15
Generalized Albanese and duality
Thomas Geisser 氏 (南California大学) 15:45-16:45
Negative K-theory, homotopy invariance and regularity
[ 講演概要 ]
The topic of my talk are two classical conjectures in K-theory:
Weibel's conjecture states that a scheme of dimension d
has no K-groups below degree -d, and Vorst's conjecture
states that homotopy invariance of the K-theory of rings
implies that the ring must be regular.
I will give an easy introduction to the conjectures, and discuss
recent progress.
Fabien Trihan 氏 (Nottingham大学) 17:00-18:00The topic of my talk are two classical conjectures in K-theory:
Weibel's conjecture states that a scheme of dimension d
has no K-groups below degree -d, and Vorst's conjecture
states that homotopy invariance of the K-theory of rings
implies that the ring must be regular.
I will give an easy introduction to the conjectures, and discuss
recent progress.
On Iwasawa theory for abelian varieties over function fields of positive characteristic
2008年07月29日(火)
Lie群論・表現論セミナー
16:30-18:00 数理科学研究科棟(駒場) 126号室
小木曽 岳義 氏 (城西大学)
Clifford代数の表現から作られる局所関数等式を満たす多項式とそれに付随する空間について(佐藤文広氏との共同研究)
小木曽 岳義 氏 (城西大学)
Clifford代数の表現から作られる局所関数等式を満たす多項式とそれに付随する空間について(佐藤文広氏との共同研究)
[ 講演概要 ]
概均質ベクトル空間の理論の基本定理(局所関数等式)は、大雑把に言うと、正則概均質ベクトル空間の相対不変式の複素ベキのFourier変換が双対概均質ベクトル空間の相対不変式の複素ベキにガンマ因子をかけたものと一致することを主張している。
この講演では、概均質ベクトル空間の相対不変式ではないにもかかわらず、その複素ベキが同種の局所関数等式を満たすような多項式が、Clifford代数の表現より構成できることを報告する。
概均質ベクトル空間の理論の基本定理(局所関数等式)は、大雑把に言うと、正則概均質ベクトル空間の相対不変式の複素ベキのFourier変換が双対概均質ベクトル空間の相対不変式の複素ベキにガンマ因子をかけたものと一致することを主張している。
この講演では、概均質ベクトル空間の相対不変式ではないにもかかわらず、その複素ベキが同種の局所関数等式を満たすような多項式が、Clifford代数の表現より構成できることを報告する。
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