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過去の記録 ～09/25｜本日 09/26 | 今後の予定 09/27～
2016年09月27日(火)
トポロジー火曜セミナー
17:00-18:30 数理科学研究科棟(駒場) 056号室
Tea: Common Room 16:30-17:00
藤内 翔太 氏 (東京大学大学院数理科学研究科)
CAT(0) properties for orthoscheme complexes (JAPANESE)
Tea: Common Room 16:30-17:00
藤内 翔太 氏 (東京大学大学院数理科学研究科)
CAT(0) properties for orthoscheme complexes (JAPANESE)
[ 講演概要 ]
Gromov showed that a cubical complex is locally CAT(0) if and only if the link of every vertex is a flag complex. Brady and MacCammond introduced an orthoscheme complex as a generalization of cubical complexes. It is, however, difficult to tell whether an orthoscheme complex is (locally) CAT(0) or not. In this talk, I will discuss a translation of Gromov's characterization for orthoscheme complexes. As a generalization of Gromov's characterization, I will show that the orthoscheme complex of locally distributive semilattice is CAT(0) if and only if it is a flag semilattice.
Gromov showed that a cubical complex is locally CAT(0) if and only if the link of every vertex is a flag complex. Brady and MacCammond introduced an orthoscheme complex as a generalization of cubical complexes. It is, however, difficult to tell whether an orthoscheme complex is (locally) CAT(0) or not. In this talk, I will discuss a translation of Gromov's characterization for orthoscheme complexes. As a generalization of Gromov's characterization, I will show that the orthoscheme complex of locally distributive semilattice is CAT(0) if and only if it is a flag semilattice.
2016年10月03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
島内 宏和 氏 (山梨英和大学)
Visualizing the radial Loewner flow and the evolution family (JAPANESE)
島内 宏和 氏 (山梨英和大学)
Visualizing the radial Loewner flow and the evolution family (JAPANESE)
[ 講演概要 ]
Herglotz 関数が１つ与えられたとき，対応する radial Loewner 方程式は単位円板から拡張する単連結領域族への等角写像族を定め，それは evolution family と呼ばれる単位円板の自己正則写像族と密接に関係する．本講演では， 与えられた Herglotz 関数に対する radial Loewner flow と evolution family を可視化するアルゴリズムを提示し，近似解の収束性と数値実験結果について紹介する．本研究は，堀田一敬氏（山口大学）との共同研究である．
Herglotz 関数が１つ与えられたとき，対応する radial Loewner 方程式は単位円板から拡張する単連結領域族への等角写像族を定め，それは evolution family と呼ばれる単位円板の自己正則写像族と密接に関係する．本講演では， 与えられた Herglotz 関数に対する radial Loewner flow と evolution family を可視化するアルゴリズムを提示し，近似解の収束性と数値実験結果について紹介する．本研究は，堀田一敬氏（山口大学）との共同研究である．
作用素環セミナー
16:45-18:15 数理科学研究科棟(駒場) 126号室
荒野悠輝 氏 (東大数理)
$C^*$-tensor categories and subfactors for totally disconnected groups
(English)
荒野悠輝 氏 (東大数理)
$C^*$-tensor categories and subfactors for totally disconnected groups
(English)
東京確率論セミナー
16:50-18:20 数理科学研究科棟(駒場) 128号室
星野壮登 氏 (東京大学大学院数理科学研究科)
Coupled KPZ equations and complex-valued stochastic Ginzburg-Landau equation (日本語)
星野壮登 氏 (東京大学大学院数理科学研究科)
Coupled KPZ equations and complex-valued stochastic Ginzburg-Landau equation (日本語)
[ 講演概要 ]
Gubinelli-Imkeller-PerkowskiのParacontrolled calculusによりある種の特異な非線形確率偏微分方程式について解の理論が構築されたが、一般論からは時間局所解の一意存在しか分からない。本講演では、タイトルの２つの方程式について時間大域解の存在について述べる。
Gubinelli-Imkeller-PerkowskiのParacontrolled calculusによりある種の特異な非線形確率偏微分方程式について解の理論が構築されたが、一般論からは時間局所解の一意存在しか分からない。本講演では、タイトルの２つの方程式について時間大域解の存在について述べる。
2016年10月04日(火)
代数幾何学セミナー
15:30-17:00 数理科学研究科棟(駒場) 122号室
鈴木拓 氏 (早稲田大学)
Higher order minimal families of rational curves and Fano manifolds with nef Chern characters (Japanese. Writing in English. )
鈴木拓 氏 (早稲田大学)
Higher order minimal families of rational curves and Fano manifolds with nef Chern characters (Japanese. Writing in English. )
[ 講演概要 ]
In this talk, we introduce higher order minimal families $H_i$ of rational curves
associated to Fano manifolds $X$. We prove that $H_i$ is also a Fano manifold
if the Chern characters of $X$ satisfy some positivity conditions. We also provide
a sufficient condition for Fano manifolds to be covered by higher rational manifolds.
In this talk, we introduce higher order minimal families $H_i$ of rational curves
associated to Fano manifolds $X$. We prove that $H_i$ is also a Fano manifold
if the Chern characters of $X$ satisfy some positivity conditions. We also provide
a sufficient condition for Fano manifolds to be covered by higher rational manifolds.
談話会・数理科学講演会
15:30-16:30 数理科学研究科棟(駒場) 002号室
Odo Diekmann 氏 (Utrecht University)
Waning and boosting : on the dynamics of immune status (ENGLISH)
http://www.uu.nl/staff/ODiekmann
Odo Diekmann 氏 (Utrecht University)
Waning and boosting : on the dynamics of immune status (ENGLISH)
[ 講演概要 ]
A first aim is to briefly review various mathematical models of infectious disease dynamics that incorporate waning and boosting of immunity. The focus will be on models that are described by delay equations, in particular renewal equations [1]. Concerning within-host dynamics, we limit ourselves to the rather caricatural models of Aron [2] and de Graaf e.a. [3].From a biomedical point of view the main conclusion is that a higher force of infection may lead to less disease,see [4] and the references given there.
[1] O.Diekmann, M.Gyllenberg, J.A.J.Metz, H.R.Thieme, On the formulation and analysis
of general deterministic structured population models. I. Linear theory, J. Math. Biol. (1998) 36 : 349 - 388
[2] J.L. Aron, Dynamics of acquired immunity boosted by exposure to infection, Math. Biosc. (1983) 64 : 249-259
[3] W.F. de Graaf, M.E.E. Kretzschmar, P.M.F. Teunis, O. Diekmann, A two-phase within host model for immune response and its application to seriological profiles of pertussis, Epidemics (2014) 9 : 1-7
[4] A.N. Swart, M. Tomasi, M. Kretzschmar, A.H. Havelaar, O. Diekmann, The protective effect of temporary immunity under imposed infection pressure, Epidemics (2012) 4 : 43-47
[ 講演参考URL ]A first aim is to briefly review various mathematical models of infectious disease dynamics that incorporate waning and boosting of immunity. The focus will be on models that are described by delay equations, in particular renewal equations [1]. Concerning within-host dynamics, we limit ourselves to the rather caricatural models of Aron [2] and de Graaf e.a. [3].From a biomedical point of view the main conclusion is that a higher force of infection may lead to less disease,see [4] and the references given there.
[1] O.Diekmann, M.Gyllenberg, J.A.J.Metz, H.R.Thieme, On the formulation and analysis
of general deterministic structured population models. I. Linear theory, J. Math. Biol. (1998) 36 : 349 - 388
[2] J.L. Aron, Dynamics of acquired immunity boosted by exposure to infection, Math. Biosc. (1983) 64 : 249-259
[3] W.F. de Graaf, M.E.E. Kretzschmar, P.M.F. Teunis, O. Diekmann, A two-phase within host model for immune response and its application to seriological profiles of pertussis, Epidemics (2014) 9 : 1-7
[4] A.N. Swart, M. Tomasi, M. Kretzschmar, A.H. Havelaar, O. Diekmann, The protective effect of temporary immunity under imposed infection pressure, Epidemics (2012) 4 : 43-47
http://www.uu.nl/staff/ODiekmann
2016年10月11日(火)
PDE実解析研究会
10:30-11:30 数理科学研究科棟(駒場) 056号室
Nam Quang Le 氏 (Indiana University)
Global solutions to the second boundary value problem of the prescribed affine mean curvature and Abreu's equations (English)
Nam Quang Le 氏 (Indiana University)
Global solutions to the second boundary value problem of the prescribed affine mean curvature and Abreu's equations (English)
[ 講演概要 ]
The second boundary value problem of the prescribed affine mean curvature equation is a nonlinear, fourth order, geometric partial differential equation. It was introduced by Trudinger and Wang in 2005 in their investigation of the affine Plateau problem in affine geometry. The previous works of Trudinger-Wang, Chau-Weinkove and the author solved this global problem under some restrictions on the sign or integrability of the affine mean curvature. In this talk, we explain how to remove these restrictions and obtain global solutions under optimal integrability conditions on the affine mean curvature. Our analysis also covers the case of Abreu's equation arising in complex geometry.
The second boundary value problem of the prescribed affine mean curvature equation is a nonlinear, fourth order, geometric partial differential equation. It was introduced by Trudinger and Wang in 2005 in their investigation of the affine Plateau problem in affine geometry. The previous works of Trudinger-Wang, Chau-Weinkove and the author solved this global problem under some restrictions on the sign or integrability of the affine mean curvature. In this talk, we explain how to remove these restrictions and obtain global solutions under optimal integrability conditions on the affine mean curvature. Our analysis also covers the case of Abreu's equation arising in complex geometry.
代数幾何学セミナー
15:30-17:00 数理科学研究科棟(駒場) 122号室
江尻 祥 氏 (東大数理)
TBA
江尻 祥 氏 (東大数理)
TBA
[ 講演概要 ]
TBA
TBA
2016年10月12日(水)
代数学コロキウム
17:30-18:30 数理科学研究科棟(駒場) 056号室
Uwe Jannsen 氏 (Universität Regensburg, 東京大学数理科学研究科)
Filtered de Rham Witt complexes and wildly ramified higher class field theory over finite fields (joint work with Shuji Saito and Yigeng Zhao) (English)
Uwe Jannsen 氏 (Universität Regensburg, 東京大学数理科学研究科)
Filtered de Rham Witt complexes and wildly ramified higher class field theory over finite fields (joint work with Shuji Saito and Yigeng Zhao) (English)
[ 講演概要 ]
We will consider abelian coverings of smooth projective varieties over finite fields which are wildly ramified along a divisor D with normal crossings, and will describe the corresponding abelianized fundamental group via modified logarithmic de Rham-Witt sheaves.
(本講演は「東京北京パリ数論幾何セミナー」として, インターネットによる東大数理, Morningside Center of MathematicsとIHESの双方向同時中継で行います.)
We will consider abelian coverings of smooth projective varieties over finite fields which are wildly ramified along a divisor D with normal crossings, and will describe the corresponding abelianized fundamental group via modified logarithmic de Rham-Witt sheaves.
(本講演は「東京北京パリ数論幾何セミナー」として, インターネットによる東大数理, Morningside Center of MathematicsとIHESの双方向同時中継で行います.)
2016年10月17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
野村 隆昭 氏 (九州大学)
等質開凸錐の実現 (JAPANESE)
野村 隆昭 氏 (九州大学)
等質開凸錐の実現 (JAPANESE)
[ 講演概要 ]
等質開凸錐は等質ジーゲル領域の構成要素の一つである．その観点で，等質開凸錐の研究を，伊師英之，中島秀斗，山崎貴史等，若い研究者達と一緒にここ10年ほど続けてきて得られた成果のいくつかを紹介したい．中心となる話題は等質開凸錐の実現であり，これは山崎との共著論文として昨年の Kyushu J. Math.に出版されたもので，向き付けグラフを援用しながら，5次元の非対称等質開凸錐の記述にVinbergが用いたアイデア（露語オリジナルは1960年）が，そのままの形で一般の等質開凸錐の実現に通用することを示すものである．基本相対不変式における伊師等による成果を用いる証明を完全にブラックボックス化し，結果としては単に手続きを述べる形になっているので，非専門家にもアクセスが容易で，統計学等への応用も可能であると考えている．また，一般の非対称等質開凸錐に付随する管状領域の正則同型群やその構造の研究への応用も十分に見込める．さらに，Graczyk-Ishi による等質開凸錐の presentation (2014)の内で最小サイズのものも，上述の実現からやはり単なる手続き論で得られる．呈示される行列のサイズ等や零行列となるブロック・小ブロック等も，付随する向き付けグラフから読み取れる．
等質開凸錐は等質ジーゲル領域の構成要素の一つである．その観点で，等質開凸錐の研究を，伊師英之，中島秀斗，山崎貴史等，若い研究者達と一緒にここ10年ほど続けてきて得られた成果のいくつかを紹介したい．中心となる話題は等質開凸錐の実現であり，これは山崎との共著論文として昨年の Kyushu J. Math.に出版されたもので，向き付けグラフを援用しながら，5次元の非対称等質開凸錐の記述にVinbergが用いたアイデア（露語オリジナルは1960年）が，そのままの形で一般の等質開凸錐の実現に通用することを示すものである．基本相対不変式における伊師等による成果を用いる証明を完全にブラックボックス化し，結果としては単に手続きを述べる形になっているので，非専門家にもアクセスが容易で，統計学等への応用も可能であると考えている．また，一般の非対称等質開凸錐に付随する管状領域の正則同型群やその構造の研究への応用も十分に見込める．さらに，Graczyk-Ishi による等質開凸錐の presentation (2014)の内で最小サイズのものも，上述の実現からやはり単なる手続き論で得られる．呈示される行列のサイズ等や零行列となるブロック・小ブロック等も，付随する向き付けグラフから読み取れる．
作用素環セミナー
16:45-18:15 数理科学研究科棟(駒場) 126号室
安藤浩志 氏 (千葉大)
Unitarizability, Maurey-Nikishin factorization and Polish groups of finite type (English)
安藤浩志 氏 (千葉大)
Unitarizability, Maurey-Nikishin factorization and Polish groups of finite type (English)
2016年10月24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
清水 悟 氏 (東北大学)
Structure and equivalence of a class of tube domains with solvable groups of automorphisms (JAPANESE)
清水 悟 氏 (東北大学)
Structure and equivalence of a class of tube domains with solvable groups of automorphisms (JAPANESE)
[ 講演概要 ]
In the study of the holomorphic equivalence problem for tube domains, it is fundamental to investigate tube domains with polynomial infinitesimal automorphisms. To apply Lie group theory to the holomorphic equivalence problem for such tube domains $T_\Omega$, investigating certain solvable subalgebras of $\frak g(T_{\Omega})$ plays an important role, where $\frak g(T_{\Omega})$ is the Lie algebra of all complete polynomial vector fields on $T_\Omega$. Related to this theme, we discuss the structure and equivalence of a class of tube domains with solvable groups of automorphisms. Besides, we give a concrete example of a tube domain whose automorphism group is solvable and contains nonaffine automorphisms.
In the study of the holomorphic equivalence problem for tube domains, it is fundamental to investigate tube domains with polynomial infinitesimal automorphisms. To apply Lie group theory to the holomorphic equivalence problem for such tube domains $T_\Omega$, investigating certain solvable subalgebras of $\frak g(T_{\Omega})$ plays an important role, where $\frak g(T_{\Omega})$ is the Lie algebra of all complete polynomial vector fields on $T_\Omega$. Related to this theme, we discuss the structure and equivalence of a class of tube domains with solvable groups of automorphisms. Besides, we give a concrete example of a tube domain whose automorphism group is solvable and contains nonaffine automorphisms.
2016年10月25日(火)
代数幾何学セミナー
15:30-17:00 数理科学研究科棟(駒場) 122号室
Yongnam Lee 氏 (KAIST)
TBA (English)
Yongnam Lee 氏 (KAIST)
TBA (English)
[ 講演概要 ]
TBA
TBA
解析学火曜セミナー
16:50-18:20 数理科学研究科棟(駒場) 126号室
山根 英司 氏 (関西学院大学理工学部数理科学科)
可積分離散非線型シュレーディンガー方程式の漸近解析 (JAPANESE)
山根 英司 氏 (関西学院大学理工学部数理科学科)
可積分離散非線型シュレーディンガー方程式の漸近解析 (JAPANESE)
2016年10月28日(金)
数理人口学・数理生物学セミナー
13:30-14:30 数理科学研究科棟(駒場) 126号室
原 朱音 氏 (九州大学システム生命科学府)
When is the allergen immunotherapy effective? (JAPANESE)
原 朱音 氏 (九州大学システム生命科学府)
When is the allergen immunotherapy effective? (JAPANESE)
[ 講演概要 ]
Allergen immunotherapy is a method to treat allergic symptoms, for example rhinitis and sneezing in Japanese cedar pollen allergy (JCPA). In the immunotherapy of JCPA, patients take in a small amount of pollen over several years, which suppress severe allergic symptoms when exposed to a large amount of environmental pollen after the therapy. We develop a simple mathematical model to identify the condition for successful therapy. We consider the dynamics of type 2 T helper cells (Th2) and regulatory T cells (Treg) and both of them are differentiated from naive T cells. We assume that Treg cells have a much longer lifespan than Th2 cells, which makes Treg cells accumulate over many years during the therapy.
We regard that the therapy is successful if (1) without therapy the patient develops allergic symptoms upon exposure to the environmental pollen, (2) the patient does not develop allergic symptoms caused by the therapy itself, and (3) with therapy the patient does not develop symptoms upon exposure. We find the conditions of each parameter for successful therapy. We also find that the therapy of linearly increasing dose is able to reduce the risk of allergic symptoms caused by the therapy itself, rather than constant dose. We would like to consider application of this model to other kind of allergy, such as food allergy.
Allergen immunotherapy is a method to treat allergic symptoms, for example rhinitis and sneezing in Japanese cedar pollen allergy (JCPA). In the immunotherapy of JCPA, patients take in a small amount of pollen over several years, which suppress severe allergic symptoms when exposed to a large amount of environmental pollen after the therapy. We develop a simple mathematical model to identify the condition for successful therapy. We consider the dynamics of type 2 T helper cells (Th2) and regulatory T cells (Treg) and both of them are differentiated from naive T cells. We assume that Treg cells have a much longer lifespan than Th2 cells, which makes Treg cells accumulate over many years during the therapy.
We regard that the therapy is successful if (1) without therapy the patient develops allergic symptoms upon exposure to the environmental pollen, (2) the patient does not develop allergic symptoms caused by the therapy itself, and (3) with therapy the patient does not develop symptoms upon exposure. We find the conditions of each parameter for successful therapy. We also find that the therapy of linearly increasing dose is able to reduce the risk of allergic symptoms caused by the therapy itself, rather than constant dose. We would like to consider application of this model to other kind of allergy, such as food allergy.
2016年10月31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
石井 豊 氏 (九州大学)
Henon 写像族のパラメータ空間におけるホースシュー領域について (JAPANESE)
石井 豊 氏 (九州大学)
Henon 写像族のパラメータ空間におけるホースシュー領域について (JAPANESE)
[ 講演概要 ]
パラメータ $(a, b)$ を持つ平面からそれ自身への多項式写像の族 $f_{a, b} : (x, y)\rightarrow (x^2-a-by, x)$ は Henon 写像族と呼ばれ、非線形力学系の最も基本的なクラスとして多くの数学者や物理学者によって研究されてきた。この写像がなす力学系はパラメータ $(a, b)$ の取り方に大きく依存するが、ある部分パラメータ領域から $(a, b)$ を選ぶと、対応する Henon 写像は「ホースシュー」と呼ばれるカオス力学系の典型的なモデルになることが知られている。今からおよそ３５年前に宇敷重広や Christian Mira らは、Henon 写像がホースシューになるようなパラメータ領域の境界がある滑らかな曲線で特徴付けられることを数値的に観察した。今回の講演では、この数値的観察に対する数学的に厳密な証明について説明する。その証明は、Henon 写像の相空間とパラメータ空間を共に複素拡張し、複素力学系や複素幾何のテクニックを精度保証計算と組み合わせることによって得られる。
パラメータ $(a, b)$ を持つ平面からそれ自身への多項式写像の族 $f_{a, b} : (x, y)\rightarrow (x^2-a-by, x)$ は Henon 写像族と呼ばれ、非線形力学系の最も基本的なクラスとして多くの数学者や物理学者によって研究されてきた。この写像がなす力学系はパラメータ $(a, b)$ の取り方に大きく依存するが、ある部分パラメータ領域から $(a, b)$ を選ぶと、対応する Henon 写像は「ホースシュー」と呼ばれるカオス力学系の典型的なモデルになることが知られている。今からおよそ３５年前に宇敷重広や Christian Mira らは、Henon 写像がホースシューになるようなパラメータ領域の境界がある滑らかな曲線で特徴付けられることを数値的に観察した。今回の講演では、この数値的観察に対する数学的に厳密な証明について説明する。その証明は、Henon 写像の相空間とパラメータ空間を共に複素拡張し、複素力学系や複素幾何のテクニックを精度保証計算と組み合わせることによって得られる。
2016年11月07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
伊師 英之 氏 (名古屋大学)
TBA (JAPANESE)
伊師 英之 氏 (名古屋大学)
TBA (JAPANESE)
2016年11月14日(月)
FMSPレクチャーズ
10:25-12:10 数理科学研究科棟(駒場) 126号室
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry I (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry I (ENGLISH)
[ 講演概要 ]
Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
[ 講演参考URL ]Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf
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
濱野 佐知子 氏 (大阪市立大学)
TBA (JAPANESE)
濱野 佐知子 氏 (大阪市立大学)
TBA (JAPANESE)
2016年11月16日(水)
FMSPレクチャーズ
10:25-12:10 数理科学研究科棟(駒場) 128号室
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry II (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry II (ENGLISH)
[ 講演概要 ]
Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
[ 講演参考URL ]Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf
2016年11月18日(金)
FMSPレクチャーズ
10:25-12:10 数理科学研究科棟(駒場) 126号室
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry III (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry III (ENGLISH)
[ 講演概要 ]
Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
[ 講演参考URL ]Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf
2016年11月21日(月)
FMSPレクチャーズ
10:25-12:10 数理科学研究科棟(駒場) 126号室
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry IV (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry IV (ENGLISH)
[ 講演概要 ]
Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
[ 講演参考URL ]Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf
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
野瀬 敏洋 氏 (福岡工業大学)
TBA (JAPANESE)
野瀬 敏洋 氏 (福岡工業大学)
TBA (JAPANESE)
2016年11月25日(金)
FMSPレクチャーズ
10:25-12:10 数理科学研究科棟(駒場) 126号室
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry V (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf
Arthur Ogus 氏 (University of California, Berkeley)
Introduction to Logarithmic Geometry V (ENGLISH)
[ 講演概要 ]
Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
[ 講演参考URL ]Logarithmic Geometry was invented (or discovered) in the 1980's, with crucial ideas contributed by Deligne, Faltings, Fontaine, Illusie, and especially K. Kato. It provides a systematic framework for the study of the related phenomena of compactification and degeneration in algebraic and arithmetic geometry, with applications to number theory. I will attempt to explain the main ideas and foundations of Kato's version of log geometry, with an emphasis on its geometric and topological aspects.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ogus.pdf
2016年12月05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
大場 貴裕 氏 (東京工業大学)
TBA (JAPANESE)
大場 貴裕 氏 (東京工業大学)
TBA (JAPANESE)
