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Seminar information archive
Seminar information archive ～04/30｜Today's seminar 05/01 | Future seminars 05/02～
2016/02/19
FMSP Lectures
10:30-11:30 Room #118 (Graduate School of Math. Sci. Bldg.)
Olivier Poisson (Aix-Marseille University)
Recovering time-dependent inclusion in heat conductive bodies by a dynamical probe method (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Poisson.pdf
Olivier Poisson (Aix-Marseille University)
Recovering time-dependent inclusion in heat conductive bodies by a dynamical probe method (ENGLISH)
[ Abstract ]
Many articles solve a version of the Calder'on inverse problem for the heat equation. The biggest part of them assume that the unknown conductivity do not depend on time t. But they are very few results concerning the time de- pendent situation, and they are based on the computation of an ansatz for the parabolic equation:
- A reconstruction method of an unknown moving inclusion by a dynamical probe method was performed by Daido-Kang-Nakamura in 2007, but it works for the one dimensional spatial space only,
- An energy estimate for x-multidimensional convex inclusions.
In the talk I will present a dynamical probe method based on special fundamental solutions of the heat equation and basic inequalities :
this approach is very close to the probe method for the elliptic Calderon inverse problem, and does not require regularity of the inclusion.
[ Reference URL ]Many articles solve a version of the Calder'on inverse problem for the heat equation. The biggest part of them assume that the unknown conductivity do not depend on time t. But they are very few results concerning the time de- pendent situation, and they are based on the computation of an ansatz for the parabolic equation:
- A reconstruction method of an unknown moving inclusion by a dynamical probe method was performed by Daido-Kang-Nakamura in 2007, but it works for the one dimensional spatial space only,
- An energy estimate for x-multidimensional convex inclusions.
In the talk I will present a dynamical probe method based on special fundamental solutions of the heat equation and basic inequalities :
this approach is very close to the probe method for the elliptic Calderon inverse problem, and does not require regularity of the inclusion.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Poisson.pdf
2016/02/18
FMSP Lectures
10:00-11:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Dror Varolin (Stony Brook)
L^2 Extension and its applications: A survey (3) (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Varolin.pdf
Dror Varolin (Stony Brook)
L^2 Extension and its applications: A survey (3) (ENGLISH)
[ Abstract ]
We discuss certain aspects of the theory of L^2 extension, going back to the famous and fundamental work of Ohsawa and Takegoshi, and even further back to work of Donnelly and Fefferman.
The first of three lectures will recall a number of L^2 extension theorems, to some extent following an incomplete history (as I see it), and ending with a sketch of a proof of one of these theorems.
The second lecture will discuss a number of my favorite applications of L^2 extension, from Bergman kernels to deformation invariance of plurigenera.
The third lecture will discuss a new proof of the extension theorem, due to Berndtsson and Lempert. The key tool is a theorem of Berndtsson on the positivity of direct images, which we will review. Berndtsson's theorem permits the introduction of degeneration techniques, whose surprising application to L^2 extension represents one of the most beautiful and fundamental recent breakthroughs in the subject.
[ Reference URL ]We discuss certain aspects of the theory of L^2 extension, going back to the famous and fundamental work of Ohsawa and Takegoshi, and even further back to work of Donnelly and Fefferman.
The first of three lectures will recall a number of L^2 extension theorems, to some extent following an incomplete history (as I see it), and ending with a sketch of a proof of one of these theorems.
The second lecture will discuss a number of my favorite applications of L^2 extension, from Bergman kernels to deformation invariance of plurigenera.
The third lecture will discuss a new proof of the extension theorem, due to Berndtsson and Lempert. The key tool is a theorem of Berndtsson on the positivity of direct images, which we will review. Berndtsson's theorem permits the introduction of degeneration techniques, whose surprising application to L^2 extension represents one of the most beautiful and fundamental recent breakthroughs in the subject.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Varolin.pdf
FMSP Lectures
10:30-11:30 Room #118 (Graduate School of Math. Sci. Bldg.)
Michel Cristofol (Aix-Marseille Univ.)
Inverse boundary value problem for a hyperbolic equation in an infinite guide (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Cristofol.pdf
Michel Cristofol (Aix-Marseille Univ.)
Inverse boundary value problem for a hyperbolic equation in an infinite guide (ENGLISH)
[ Abstract ]
We consider the multidimensional inverse problem of determining the conductivity coefficient of a hyperbolic equation in an infinite cylindrical domain, from a single boundary observation of the solution. We prove Holder stability with the aid of a Carleman estimate specially designed for hyperbolic waveguides. I will provide numerical simulations in multiple backgrounds.
[ Reference URL ]We consider the multidimensional inverse problem of determining the conductivity coefficient of a hyperbolic equation in an infinite cylindrical domain, from a single boundary observation of the solution. We prove Holder stability with the aid of a Carleman estimate specially designed for hyperbolic waveguides. I will provide numerical simulations in multiple backgrounds.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Cristofol.pdf
2016/02/17
FMSP Lectures
10:00-11:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Dror Varolin (Stony Brook)
L^2 Extension and its applications: A survey (2) (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Varolin.pdf
Dror Varolin (Stony Brook)
L^2 Extension and its applications: A survey (2) (ENGLISH)
[ Abstract ]
We discuss certain aspects of the theory of L^2 extension, going back to the famous and fundamental work of Ohsawa and Takegoshi, and even further back to work of Donnelly and Fefferman.
The first of three lectures will recall a number of L^2 extension theorems, to some extent following an incomplete history (as I see it), and ending with a sketch of a proof of one of these theorems.
The second lecture will discuss a number of my favorite applications of L^2 extension, from Bergman kernels to deformation invariance of plurigenera.
The third lecture will discuss a new proof of the extension theorem, due to Berndtsson and Lempert. The key tool is a theorem of Berndtsson on the positivity of direct images, which we will review. Berndtsson's theorem permits the introduction of degeneration techniques, whose surprising application to L^2 extension represents one of the most beautiful and fundamental recent breakthroughs in the subject.
[ Reference URL ]We discuss certain aspects of the theory of L^2 extension, going back to the famous and fundamental work of Ohsawa and Takegoshi, and even further back to work of Donnelly and Fefferman.
The first of three lectures will recall a number of L^2 extension theorems, to some extent following an incomplete history (as I see it), and ending with a sketch of a proof of one of these theorems.
The second lecture will discuss a number of my favorite applications of L^2 extension, from Bergman kernels to deformation invariance of plurigenera.
The third lecture will discuss a new proof of the extension theorem, due to Berndtsson and Lempert. The key tool is a theorem of Berndtsson on the positivity of direct images, which we will review. Berndtsson's theorem permits the introduction of degeneration techniques, whose surprising application to L^2 extension represents one of the most beautiful and fundamental recent breakthroughs in the subject.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Varolin.pdf
2016/02/16
Tuesday Seminar on Topology
17:00-18:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Luc Menichi (University of Angers)
String Topology, Euler Class and TNCZ free loop fibrations (ENGLISH)
Luc Menichi (University of Angers)
String Topology, Euler Class and TNCZ free loop fibrations (ENGLISH)
[ Abstract ]
Let $M$ be a connected, closed oriented manifold.
Chas and Sullivan have defined a loop product and a loop coproduct on
$H_*(LM;¥mathbb{F})$, the homology of the
free loops on $M$ with coefficients in the field $¥mathbb{F}$.
By studying this loop coproduct, I will show that if the free loop
fibration
$¥Omega M¥buildrel{i}¥over¥hookrightarrow
LM¥buildrel{ev}¥over¥twoheadrightarrow M$
is homologically trivial, i.e. $i^*:H^*(LM;¥mathbb{F})¥twoheadrightarrow
H^*(¥Omega M;¥mathbb{F})$ is onto,
then the Euler characteristic of $M$ is divisible by the characteristic
of the field $¥mathbb{F}$
(or $M$ is a point).
Let $M$ be a connected, closed oriented manifold.
Chas and Sullivan have defined a loop product and a loop coproduct on
$H_*(LM;¥mathbb{F})$, the homology of the
free loops on $M$ with coefficients in the field $¥mathbb{F}$.
By studying this loop coproduct, I will show that if the free loop
fibration
$¥Omega M¥buildrel{i}¥over¥hookrightarrow
LM¥buildrel{ev}¥over¥twoheadrightarrow M$
is homologically trivial, i.e. $i^*:H^*(LM;¥mathbb{F})¥twoheadrightarrow
H^*(¥Omega M;¥mathbb{F})$ is onto,
then the Euler characteristic of $M$ is divisible by the characteristic
of the field $¥mathbb{F}$
(or $M$ is a point).
FMSP Lectures
10:00-11:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Dror Varolin (Stony Brook)
L^2 Extension and its applications: A survey (1) (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Varolin.pdf
Dror Varolin (Stony Brook)
L^2 Extension and its applications: A survey (1) (ENGLISH)
[ Abstract ]
We discuss certain aspects of the theory of L^2 extension, going back to the famous and fundamental work of Ohsawa and Takegoshi, and even further back to work of Donnelly and Fefferman.
The first of three lectures will recall a number of L^2 extension theorems, to some extent following an incomplete history (as I see it), and ending with a sketch of a proof of one of these theorems.
The second lecture will discuss a number of my favorite applications of L^2 extension, from Bergman kernels to deformation invariance of plurigenera.
The third lecture will discuss a new proof of the extension theorem, due to Berndtsson and Lempert. The key tool is a theorem of Berndtsson on the positivity of direct images, which we will review. Berndtsson's theorem permits the introduction of degeneration techniques, whose surprising application to L^2 extension represents one of the most beautiful and fundamental recent breakthroughs in the subject.
[ Reference URL ]We discuss certain aspects of the theory of L^2 extension, going back to the famous and fundamental work of Ohsawa and Takegoshi, and even further back to work of Donnelly and Fefferman.
The first of three lectures will recall a number of L^2 extension theorems, to some extent following an incomplete history (as I see it), and ending with a sketch of a proof of one of these theorems.
The second lecture will discuss a number of my favorite applications of L^2 extension, from Bergman kernels to deformation invariance of plurigenera.
The third lecture will discuss a new proof of the extension theorem, due to Berndtsson and Lempert. The key tool is a theorem of Berndtsson on the positivity of direct images, which we will review. Berndtsson's theorem permits the introduction of degeneration techniques, whose surprising application to L^2 extension represents one of the most beautiful and fundamental recent breakthroughs in the subject.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Varolin.pdf
FMSP Lectures
16:00-17:00 Room #270 (Graduate School of Math. Sci. Bldg.)
Patricia Gaitan (Aix-Marseille University)
Inverse Problem for an Hyperbolic-Parabolic System and Perspectives (ENGLISH)
[ Reference URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Gaitan160216.pdf
Patricia Gaitan (Aix-Marseille University)
Inverse Problem for an Hyperbolic-Parabolic System and Perspectives (ENGLISH)
[ Reference URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Gaitan160216.pdf
2016/02/15
FMSP Lectures
17:00-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)
Patricia Gaitan (Aix-Marseille University)
Probing for inclusions for heat conductive bodies time independent and time dependent cases (ENGLISH)
[ Reference URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Gaitan.pdf
Patricia Gaitan (Aix-Marseille University)
Probing for inclusions for heat conductive bodies time independent and time dependent cases (ENGLISH)
[ Reference URL ]
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Gaitan.pdf
2016/02/08
Tokyo Probability Seminar
16:50-18:20 Room #128 (Graduate School of Math. Sci. Bldg.)
Hirofumi Osada (Graduate School of Mathematics, Kyushu University)
Dynamical rigidity of stochastic Coulomb systems
Hirofumi Osada (Graduate School of Mathematics, Kyushu University)
Dynamical rigidity of stochastic Coulomb systems
Infinite Analysis Seminar Tokyo
13:30-15:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Vincent Pasquier (IPhT Saclay)
q-Bosons, Toda lattice and Baxter Q-Operator (ENGLISH)
Vincent Pasquier (IPhT Saclay)
q-Bosons, Toda lattice and Baxter Q-Operator (ENGLISH)
[ Abstract ]
I will use the Pieri rules of the Hall Littlewood polynomials to construct some
lattice models, namely the q-Boson model and the Toda Lattice Q matrix.
I will identify the semi infinite chain transfer matrix of these models with well known
half vertex operators. Finally, I will explain how the Gaudin determinant appears in the evaluation
of the semi infine chain scalar products for an arbitrary spin and is related to the Macdonald polynomials.
I will use the Pieri rules of the Hall Littlewood polynomials to construct some
lattice models, namely the q-Boson model and the Toda Lattice Q matrix.
I will identify the semi infinite chain transfer matrix of these models with well known
half vertex operators. Finally, I will explain how the Gaudin determinant appears in the evaluation
of the semi infine chain scalar products for an arbitrary spin and is related to the Macdonald polynomials.
2016/02/01
Tokyo Probability Seminar
16:50-18:20 Room #270 (Graduate School of Math. Sci. Bldg.)
Kohei Soga (Faculty of Science and Technology, Keio University)
Kohei Soga (Faculty of Science and Technology, Keio University)
2016/01/29
thesis presentations
9:15-10:30 Room #118 (Graduate School of Math. Sci. Bldg.)
北川 宜稔 (東京大学大学院数理科学研究科)
Algebraic structure on the space of intertwining operators（絡作用素の空間上の代数構造） (JAPANESE)
北川 宜稔 (東京大学大学院数理科学研究科)
Algebraic structure on the space of intertwining operators（絡作用素の空間上の代数構造） (JAPANESE)
thesis presentations
10:45-12:00 Room #118 (Graduate School of Math. Sci. Bldg.)
中濱 良祐 (東京大学大学院数理科学研究科)
Some topics on analysis of holomorphic discrete series representations（正則離散系列表現の解析に関するいくつかの話題） (JAPANESE)
中濱 良祐 (東京大学大学院数理科学研究科)
Some topics on analysis of holomorphic discrete series representations（正則離散系列表現の解析に関するいくつかの話題） (JAPANESE)
thesis presentations
12:45-14:00 Room #118 (Graduate School of Math. Sci. Bldg.)
古川 遼 (東京大学大学院数理科学研究科)
On codimension two contact embeddings in the standard spheres（標準接触球面への余次元2の接触埋め込みについて）
古川 遼 (東京大学大学院数理科学研究科)
On codimension two contact embeddings in the standard spheres（標準接触球面への余次元2の接触埋め込みについて）
thesis presentations
9:15-10:30 Room #122 (Graduate School of Math. Sci. Bldg.)
間瀬 崇史 (東京大学大学院数理科学研究科)
Studies on spaces of initial conditions for nonautonomous mappings of the plane and singularity confinement（平面上の非自励写像に対する初期値空間と特異点閉じ込めの研究） (JAPANESE)
間瀬 崇史 (東京大学大学院数理科学研究科)
Studies on spaces of initial conditions for nonautonomous mappings of the plane and singularity confinement（平面上の非自励写像に対する初期値空間と特異点閉じ込めの研究） (JAPANESE)
thesis presentations
10:45-12:00 Room #122 (Graduate School of Math. Sci. Bldg.)
佐々木 多希子 (東京大学大学院数理科学研究科)
Numerical and mathematical analysis for blow-up phenomena to nonlinear wave equations（非線形波動方程式の爆発現象に関する数値・数学解析） (JAPANESE)
佐々木 多希子 (東京大学大学院数理科学研究科)
Numerical and mathematical analysis for blow-up phenomena to nonlinear wave equations（非線形波動方程式の爆発現象に関する数値・数学解析） (JAPANESE)
thesis presentations
12:45-14:00 Room #122 (Graduate School of Math. Sci. Bldg.)
李 志遠 (東京大学大学院数理科学研究科)
Mathematical analysis for diffusion equations with generalized fractional time derivatives （一般化された非整数階時間微分項を持つ拡散方程式に対する数学解析について） (JAPANESE)
李 志遠 (東京大学大学院数理科学研究科)
Mathematical analysis for diffusion equations with generalized fractional time derivatives （一般化された非整数階時間微分項を持つ拡散方程式に対する数学解析について） (JAPANESE)
thesis presentations
9:15-10:30 Room #126 (Graduate School of Math. Sci. Bldg.)
寺門 康裕 (東京大学大学院数理科学研究科)
The determinant and the discriminant of a complete intersection of even dimension（偶数次元完全交叉の行列式と判別式） (JAPANESE)
寺門 康裕 (東京大学大学院数理科学研究科)
The determinant and the discriminant of a complete intersection of even dimension（偶数次元完全交叉の行列式と判別式） (JAPANESE)
thesis presentations
10:45-12:00 Room #126 (Graduate School of Math. Sci. Bldg.)
大川 幸男 (東京大学大学院数理科学研究科)
Riemann-Hilbert correspondence for unit F-crystals on embeddable algebraic varieties（埋め込み可能な代数多様体上のユニットF-クリスタルに対するリーマン-ヒルベルト対応） (JAPANESE)
大川 幸男 (東京大学大学院数理科学研究科)
Riemann-Hilbert correspondence for unit F-crystals on embeddable algebraic varieties（埋め込み可能な代数多様体上のユニットF-クリスタルに対するリーマン-ヒルベルト対応） (JAPANESE)
thesis presentations
12:45-14:00 Room #126 (Graduate School of Math. Sci. Bldg.)
渡部 正樹 (東京大学大学院数理科学研究科)
Schubert polynomials,Kraśkiewicz-Pragacz modules and highest weight categories（Schubert 多項式，Kraśkiewicz-Pragacz 加群と最高ウェイト圏） (JAPANESE)
渡部 正樹 (東京大学大学院数理科学研究科)
Schubert polynomials,Kraśkiewicz-Pragacz modules and highest weight categories（Schubert 多項式，Kraśkiewicz-Pragacz 加群と最高ウェイト圏） (JAPANESE)
2016/01/28
thesis presentations
11:00-12:15 Room #118 (Graduate School of Math. Sci. Bldg.)
大久保 直人 (東京大学大学院数理科学研究科)
Discrete integrable equations associated with cluster algebra and its extension（クラスター代数およびその拡張に付随する離散可積分方程式） (JAPANESE)
大久保 直人 (東京大学大学院数理科学研究科)
Discrete integrable equations associated with cluster algebra and its extension（クラスター代数およびその拡張に付随する離散可積分方程式） (JAPANESE)
thesis presentations
13:00-14:15 Room #118 (Graduate School of Math. Sci. Bldg.)
鈴木 悠平 (東京大学大学院数理科学研究科)
Constructions of amenable dynamical systems and its applications to nuclearity of C*-algebras（従順位相力学系の構成とC*環の核型性への応用） (JAPANESE)
鈴木 悠平 (東京大学大学院数理科学研究科)
Constructions of amenable dynamical systems and its applications to nuclearity of C*-algebras（従順位相力学系の構成とC*環の核型性への応用） (JAPANESE)
thesis presentations
14:30-15:45 Room #118 (Graduate School of Math. Sci. Bldg.)
嶌田 洸一
Actions of locally compact abelian groups on factors with the Rohlin property（ロホリン性をもつ局所コンパクト可換群の因子環へ作用） (JAPANESE)
嶌田 洸一
Actions of locally compact abelian groups on factors with the Rohlin property（ロホリン性をもつ局所コンパクト可換群の因子環へ作用） (JAPANESE)
thesis presentations
16:00-17:15 Room #118 (Graduate School of Math. Sci. Bldg.)
武石 拓也 (東京大学大学院数理科学研究科)
Primitive ideals of Bost-Connes systems（ボスト・コンヌ系の原始イデアルについて） (JAPANESE)
武石 拓也 (東京大学大学院数理科学研究科)
Primitive ideals of Bost-Connes systems（ボスト・コンヌ系の原始イデアルについて） (JAPANESE)
thesis presentations
9:30-10:45 Room #122 (Graduate School of Math. Sci. Bldg.)
甲斐 亘 (東京大学大学院数理科学研究科)
A moving lemma for algebraic cycles with modulus and contravariance（モジュラス付き代数的サイクルの移動補題と引き戻し写像） (JAPANESE)
甲斐 亘 (東京大学大学院数理科学研究科)
A moving lemma for algebraic cycles with modulus and contravariance（モジュラス付き代数的サイクルの移動補題と引き戻し写像） (JAPANESE)
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