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過去の記録
過去の記録 ～10/04｜本日 10/05 | 今後の予定 10/06～
博士論文発表会
12:45-14:00 数理科学研究科棟(駒場) 122号室
加藤 大輝 氏 (東京大学大学院数理科学研究科)
Wild ramification, the nearby cycle complexes, and the characteristic cycles of ℓ-adic sheaves
(ℓ進層の暴分岐、隣接サイクル複体、特性サイクルについて)
加藤 大輝 氏 (東京大学大学院数理科学研究科)
Wild ramification, the nearby cycle complexes, and the characteristic cycles of ℓ-adic sheaves
(ℓ進層の暴分岐、隣接サイクル複体、特性サイクルについて)
博士論文発表会
14:15-15:30 数理科学研究科棟(駒場) 122号室
長岡 大 氏 (東京大学大学院数理科学研究科)
Studies of compactifications of affine homology 3-cells into del Pezzo fibrations
(Del Pezzoファイブレーションへのアフィンホモロジー3-胞体のコンパクト化の研究)
長岡 大 氏 (東京大学大学院数理科学研究科)
Studies of compactifications of affine homology 3-cells into del Pezzo fibrations
(Del Pezzoファイブレーションへのアフィンホモロジー3-胞体のコンパクト化の研究)
博士論文発表会
9:15-10:30 数理科学研究科棟(駒場) 126号室
千葉 悠喜 氏 (東京大学大学院数理科学研究科)
Discontinuous Galerkin method for elliptic problems
(楕円型問題に対する不連続Galerkin法)
千葉 悠喜 氏 (東京大学大学院数理科学研究科)
Discontinuous Galerkin method for elliptic problems
(楕円型問題に対する不連続Galerkin法)
博士論文発表会
10:45-12:00 数理科学研究科棟(駒場) 126号室
平良 晃一 氏 (東京大学大学院数理科学研究科)
Spectral and scattering theory for generalized Schrödinger operators
(一般化シュレディンガー作用素に関するスペクトル理論と散乱理論)
平良 晃一 氏 (東京大学大学院数理科学研究科)
Spectral and scattering theory for generalized Schrödinger operators
(一般化シュレディンガー作用素に関するスペクトル理論と散乱理論)
博士論文発表会
12:45-14:00 数理科学研究科棟(駒場) 126号室
中井 拳吾 氏 (東京大学大学院数理科学研究科)
Machine-learning Construction of a Model and Refined Regularity Criterion on Fluid Equations
(流体方程式の機械学習によるモデリングと解の正則性の判定条件)
中井 拳吾 氏 (東京大学大学院数理科学研究科)
Machine-learning Construction of a Model and Refined Regularity Criterion on Fluid Equations
(流体方程式の機械学習によるモデリングと解の正則性の判定条件)
博士論文発表会
14:15-15:30 数理科学研究科棟(駒場) 126号室
鈴木 拓海 氏 (東京大学大学院数理科学研究科)
Penalized Least Squares Approximation Methods and Their Applications to Stochastic Processes
(罰則付き最小二乗近似法と確率過程への応用)
鈴木 拓海 氏 (東京大学大学院数理科学研究科)
Penalized Least Squares Approximation Methods and Their Applications to Stochastic Processes
(罰則付き最小二乗近似法と確率過程への応用)
2020年01月30日(木)
博士論文発表会
10:45-12:00 数理科学研究科棟(駒場) 118号室
浅尾 泰彦 氏 (東京大学大学院数理科学研究科)
Magnitude homology and Vietoris-Rips homology of geodesic metric spaces
（測地的距離空間のマグニチュードホモロジー及びヴィートリス・リップスホモロジー）
浅尾 泰彦 氏 (東京大学大学院数理科学研究科)
Magnitude homology and Vietoris-Rips homology of geodesic metric spaces
（測地的距離空間のマグニチュードホモロジー及びヴィートリス・リップスホモロジー）
博士論文発表会
12:45-14:00 数理科学研究科棟(駒場) 118号室
浅野 知紘 氏 (東京大学大学院数理科学研究科)
Intersection and displacement energy of rational Lagrangian immersions via sheaf quantization
(層量子化による有理的ラグランジュはめ込みの交叉と分離エネルギーの研究)
浅野 知紘 氏 (東京大学大学院数理科学研究科)
Intersection and displacement energy of rational Lagrangian immersions via sheaf quantization
(層量子化による有理的ラグランジュはめ込みの交叉と分離エネルギーの研究)
博士論文発表会
14:15-15:30 数理科学研究科棟(駒場) 118号室
谷口 正樹 氏 (東京大学大学院数理科学研究科)
Gauge theory and its applications to 3 and 4-dimensional topology
(ゲージ理論とその3,4次元トポロジーへの応用について)
谷口 正樹 氏 (東京大学大学院数理科学研究科)
Gauge theory and its applications to 3 and 4-dimensional topology
(ゲージ理論とその3,4次元トポロジーへの応用について)
博士論文発表会
15:45-17:00 数理科学研究科棟(駒場) 118号室
古川 賢 氏 (東京大学大学院数理科学研究科)
On asymptotic behavior and maximal regularity of the Navier-Stokes equations and related problems
(ナヴィエ・ストークス方程式とそれに関連する問題に対する漸近挙動と最大正則性について)
古川 賢 氏 (東京大学大学院数理科学研究科)
On asymptotic behavior and maximal regularity of the Navier-Stokes equations and related problems
(ナヴィエ・ストークス方程式とそれに関連する問題に対する漸近挙動と最大正則性について)
博士論文発表会
9:15-10:30 数理科学研究科棟(駒場) 122号室
野島 遼 氏 (東京大学大学院数理科学研究科)
On induction for twisted representations of conformal nets
(共形ネットの捩れ表現の誘導について)
野島 遼 氏 (東京大学大学院数理科学研究科)
On induction for twisted representations of conformal nets
(共形ネットの捩れ表現の誘導について)
博士論文発表会
12:45-14:00 数理科学研究科棟(駒場) 122号室
坂本 龍太郎 氏 (東京大学大学院数理科学研究科)
A higher rank Euler system for the multiplicative group over a totally real field
(総実体上の乗法群の高階オイラー系)
坂本 龍太郎 氏 (東京大学大学院数理科学研究科)
A higher rank Euler system for the multiplicative group over a totally real field
(総実体上の乗法群の高階オイラー系)
博士論文発表会
13:45-15:00 数理科学研究科棟(駒場) 126号室
木下 慶紀 氏 (東京大学大学院数理科学研究科)
Asymptotic properties of the penalized quasi-likelihood estimators and their applications
(罰則付き疑似尤度推定量の漸近的性質とその応用)
木下 慶紀 氏 (東京大学大学院数理科学研究科)
Asymptotic properties of the penalized quasi-likelihood estimators and their applications
(罰則付き疑似尤度推定量の漸近的性質とその応用)
2020年01月29日(水)
作用素環セミナー
13:00-14:30 数理科学研究科棟(駒場) 002号室
Colin McSwiggen 氏 (Brown Univ.)
Horn's problem, polytope volumes and tensor product decompositions (English)
Colin McSwiggen 氏 (Brown Univ.)
Horn's problem, polytope volumes and tensor product decompositions (English)
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
Cyril Houdayer 氏 (Univ. Paris-Sud)
Stationary actions of higher rank lattices on von Neumann algebras (English)
Cyril Houdayer 氏 (Univ. Paris-Sud)
Stationary actions of higher rank lattices on von Neumann algebras (English)
2020年01月28日(火)
トポロジー火曜セミナー
17:00-18:00 数理科学研究科棟(駒場) 056号室
Tea: Common Room 16:30-17:00
関野 希望 氏 (東京大学大学院数理科学研究科)
Existence problems for fibered links (JAPANESE)
Tea: Common Room 16:30-17:00
関野 希望 氏 (東京大学大学院数理科学研究科)
Existence problems for fibered links (JAPANESE)
[ 講演概要 ]
It is known that every connected orientable closed 3-manifold has a fibered knot. However, finding (and classifying) fibered links whose fiber surfaces are fixed homeomorphism type in a given 3-manifold is difficult in general. We give a criterion of a simple closed curve on a genus 2g Heegaard surface being a genus g fibered knot in terms of its Heegaard diagram. As an application, we can prove the non-existence of genus one fibered knots in some Seifert manifolds.
There is one generalization of fibered links, homologically fibered links. This requests that the complement of the "fiber surface" is a homologically product of a surface and an interval. We give a necessary and sufficient condition for a connected sums of lens spaces of having a homologically fibered link whose fiber surfaces are some fixed types as some algebraic equations.
It is known that every connected orientable closed 3-manifold has a fibered knot. However, finding (and classifying) fibered links whose fiber surfaces are fixed homeomorphism type in a given 3-manifold is difficult in general. We give a criterion of a simple closed curve on a genus 2g Heegaard surface being a genus g fibered knot in terms of its Heegaard diagram. As an application, we can prove the non-existence of genus one fibered knots in some Seifert manifolds.
There is one generalization of fibered links, homologically fibered links. This requests that the complement of the "fiber surface" is a homologically product of a surface and an interval. We give a necessary and sufficient condition for a connected sums of lens spaces of having a homologically fibered link whose fiber surfaces are some fixed types as some algebraic equations.
トポロジー火曜セミナー
18:00-19:00 数理科学研究科棟(駒場) 056号室
渡部 淳 氏 (東京大学大学院数理科学研究科)
Fibred cusp b-pseudodifferential operators and its applications (JAPANESE)
渡部 淳 氏 (東京大学大学院数理科学研究科)
Fibred cusp b-pseudodifferential operators and its applications (JAPANESE)
[ 講演概要 ]
Melrose's b-calculus and its variants are important tools to study index problems on manifolds with singularities. In this talk, we introduce a new variant "fibred cusp b-calculus", which is a generalization of fibred cusp calculus of Mazzeo-Melrose and b-calculus of Melrose. We discuss the basic property of this calculus and give a relative index formula. As its application, we prove the index theorem for a Z/k manifold with boundary, which is a generalization of the mod k index theorem of Freed-Melrose.
Melrose's b-calculus and its variants are important tools to study index problems on manifolds with singularities. In this talk, we introduce a new variant "fibred cusp b-calculus", which is a generalization of fibred cusp calculus of Mazzeo-Melrose and b-calculus of Melrose. We discuss the basic property of this calculus and give a relative index formula. As its application, we prove the index theorem for a Z/k manifold with boundary, which is a generalization of the mod k index theorem of Freed-Melrose.
Lie群論・表現論セミナー
10:00-16:40 数理科学研究科棟(駒場) 号室
Kavli IPMU
Taito Tauchi 氏 (The University of Tokyo) 10:00-11:00
Relationship between orbit decomposition on the flag varieties and multiplicities of induced representations (English)
Mikhail Kapranov 氏 (Kavli IPMU) 11:20-12:20
TBA (English)
Michael Pevzner 氏 (University of Reims) 14:00-15:00
From Symmetry breaking toward holographic transform in representation theory (English)
Leticia Barchini 氏 (Oklahoma University) 15:40-16:40
Cells of Harish-Chandra modules
(English)
Kavli IPMU
Taito Tauchi 氏 (The University of Tokyo) 10:00-11:00
Relationship between orbit decomposition on the flag varieties and multiplicities of induced representations (English)
Mikhail Kapranov 氏 (Kavli IPMU) 11:20-12:20
TBA (English)
Michael Pevzner 氏 (University of Reims) 14:00-15:00
From Symmetry breaking toward holographic transform in representation theory (English)
Leticia Barchini 氏 (Oklahoma University) 15:40-16:40
Cells of Harish-Chandra modules
(English)
2020年01月27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
辻 元 氏 (上智大学)
Canonical measure and it’s applications
辻 元 氏 (上智大学)
Canonical measure and it’s applications
[ 講演概要 ]
The canonical measure is a natural generalization of K\”ahler-Einstein metrics to the case of projective manifolds with nonnegative Kodaira dimension. In this talk we consider the variation of canonical measures under projective deformations and give some applications.
The canonical measure is a natural generalization of K\”ahler-Einstein metrics to the case of projective manifolds with nonnegative Kodaira dimension. In this talk we consider the variation of canonical measures under projective deformations and give some applications.
Lie群論・表現論セミナー
9:30-16:30 数理科学研究科棟(駒場) 号室
Kavli IPMU, 9:30--10:00 Registration
Joseph Bernstein 氏 (Tel Aviv and The University of Tokyo) 10:00-11:00
TBA (English)
Toshiyuki Kobayashi 氏 (The University of Tokyo) 11:20-12:20
Regular Representations on Homogeneous Spaces (English)
Laura Geatti 氏 (University of Roma) 14:00-15:00
The adapted hyper-K\"ahler structure on the tangent bundle of a Hermitian symmetric space (English)
Simon Gindikin 氏 (Rutgers University) 15:30-16:30
UNIVERSAL NATURE OF THE HOROSPHERICAL TRANSFORM IN SYMMETRIC SPACES (English)
Kavli IPMU, 9:30--10:00 Registration
Joseph Bernstein 氏 (Tel Aviv and The University of Tokyo) 10:00-11:00
TBA (English)
Toshiyuki Kobayashi 氏 (The University of Tokyo) 11:20-12:20
Regular Representations on Homogeneous Spaces (English)
Laura Geatti 氏 (University of Roma) 14:00-15:00
The adapted hyper-K\"ahler structure on the tangent bundle of a Hermitian symmetric space (English)
Simon Gindikin 氏 (Rutgers University) 15:30-16:30
UNIVERSAL NATURE OF THE HOROSPHERICAL TRANSFORM IN SYMMETRIC SPACES (English)
2020年01月22日(水)
FMSPレクチャーズ
17:00-18:00 数理科学研究科棟(駒場) 128号室
Samuli Siltanen 氏 (University of Helsinki)
Complex principal type operators in inverse conductivity problem (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_SamuliSiltanen.pdf
Samuli Siltanen 氏 (University of Helsinki)
Complex principal type operators in inverse conductivity problem (ENGLISH)
[ 講演概要 ]
Stroke is a leading cause of death all around the world. There are two main types of stroke: ischemic (blood clot preventing blood flow to a part of the brain) and hemorrhagic (bleeding in the brain). The symptoms are the same, but treatments very different. A portable "stroke classifier" would be a life-saving equipment to have in ambulances, but so far it does not exist. Electrical Impedance Tomography (EIT) is a promising and harmless imaging method for stroke classification. In EIT one attempts to recover the electric conductivity inside a domain from electric boundary measurements. This is a nonlinear and ill-posed inverse problem. The so-called Complex Geometric Optics (CGO) solutions have proven to be a useful computational tool for reconstruction tasks in EIT. A new property of CGO solutions is presented, showing that a one-dimensional Fourier transform in the spectral variable provides a connection to parallel-beam Xray tomography of the conductivity. One of the consequences of this “nonlinear Fourier slice theorem” is a novel capability to recover inclusions within inclusions in EIT. In practical imaging, measurement noise causes strong blurring in the recovered profile functions. However, machine learning algorithms can be combined with the nonlinear PDE techniques in a fruitful way. As an example, simulated strokes are classified into hemorrhagic and ischemic using EIT measurements.
[ 参考URL ]Stroke is a leading cause of death all around the world. There are two main types of stroke: ischemic (blood clot preventing blood flow to a part of the brain) and hemorrhagic (bleeding in the brain). The symptoms are the same, but treatments very different. A portable "stroke classifier" would be a life-saving equipment to have in ambulances, but so far it does not exist. Electrical Impedance Tomography (EIT) is a promising and harmless imaging method for stroke classification. In EIT one attempts to recover the electric conductivity inside a domain from electric boundary measurements. This is a nonlinear and ill-posed inverse problem. The so-called Complex Geometric Optics (CGO) solutions have proven to be a useful computational tool for reconstruction tasks in EIT. A new property of CGO solutions is presented, showing that a one-dimensional Fourier transform in the spectral variable provides a connection to parallel-beam Xray tomography of the conductivity. One of the consequences of this “nonlinear Fourier slice theorem” is a novel capability to recover inclusions within inclusions in EIT. In practical imaging, measurement noise causes strong blurring in the recovered profile functions. However, machine learning algorithms can be combined with the nonlinear PDE techniques in a fruitful way. As an example, simulated strokes are classified into hemorrhagic and ischemic using EIT measurements.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_SamuliSiltanen.pdf
2020年01月21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) 118号室
普段と部屋が異なりますのでご注意ください。The room is different from our usual.
Matthias Schütt 氏 (Universität Hannover)
(Few) rational curves on K3 surfaces (English)
普段と部屋が異なりますのでご注意ください。The room is different from our usual.
Matthias Schütt 氏 (Universität Hannover)
(Few) rational curves on K3 surfaces (English)
[ 講演概要 ]
Rational curves play a fundamental role for the structure of a K3 surface. I will first review the general theory before focussing on the case of low degree curves where joint work with S. Rams (Krakow) extends bounds of Miyaoka and Degtyarev. Time permitting, I will also discuss the special case of smooth rational curves as well as applications to Enriques surfaces.
Rational curves play a fundamental role for the structure of a K3 surface. I will first review the general theory before focussing on the case of low degree curves where joint work with S. Rams (Krakow) extends bounds of Miyaoka and Degtyarev. Time permitting, I will also discuss the special case of smooth rational curves as well as applications to Enriques surfaces.
Lie群論・表現論セミナー
14:00-16:00 数理科学研究科棟(駒場) 126号室
Joseph Bernstein 氏 (Tel Aviv University)
On Plancherel measure (English)
Joseph Bernstein 氏 (Tel Aviv University)
On Plancherel measure (English)
2020年01月20日(月)
数値解析セミナー
16:50-18:20 数理科学研究科棟(駒場) 056号室
Yves A. B. C. Barbosa 氏 (Politecnico di Milano)
Isogeometric Hierarchical Model Reduction: from analysis to patient-specific simulations (English)
Yves A. B. C. Barbosa 氏 (Politecnico di Milano)
Isogeometric Hierarchical Model Reduction: from analysis to patient-specific simulations (English)
[ 講演概要 ]
In the field of hemodynamics, numerical models have evolved to account for the demands in speed and accuracy of modern diagnostic medicine. In this context, we studied in detail Hierarchical Model Reduction technique combined with Isogeometric Analysis (HigaMOD), a technique recently developed in [Perotto, Reali, Rusconi and Veneziani (2017)]. HigaMod is a reduction procedure used to downscale models when the phenomenon at hand presents a preferential direction of flow, e.g., when modelling the blood flow in arteries or the water flow in a channel network. The method showed a significant improvement in reducing the computational power and simulation time, while giving enough information to analyze the problem at hand.
Recently, we focused our work in solving the ADR problem and the Stokes problem in a patient-specific framework. Specifically, we evaluate the computational efficiency of HigaMod in simulating the blood flow in coronary arteries and cerebral arteries. The main goal is to assess the
mprovement that 1D enriched models can provide, with respect to traditional full models, when dealing with demanding 3D CFD simulations. The results obtained, even though preliminary, are promising [Brandes, Barbosa and Perotto (2019); Brandes, Barbosa, Perotto and Suito (2020)].
In the field of hemodynamics, numerical models have evolved to account for the demands in speed and accuracy of modern diagnostic medicine. In this context, we studied in detail Hierarchical Model Reduction technique combined with Isogeometric Analysis (HigaMOD), a technique recently developed in [Perotto, Reali, Rusconi and Veneziani (2017)]. HigaMod is a reduction procedure used to downscale models when the phenomenon at hand presents a preferential direction of flow, e.g., when modelling the blood flow in arteries or the water flow in a channel network. The method showed a significant improvement in reducing the computational power and simulation time, while giving enough information to analyze the problem at hand.
Recently, we focused our work in solving the ADR problem and the Stokes problem in a patient-specific framework. Specifically, we evaluate the computational efficiency of HigaMod in simulating the blood flow in coronary arteries and cerebral arteries. The main goal is to assess the
mprovement that 1D enriched models can provide, with respect to traditional full models, when dealing with demanding 3D CFD simulations. The results obtained, even though preliminary, are promising [Brandes, Barbosa and Perotto (2019); Brandes, Barbosa, Perotto and Suito (2020)].
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
足立 真訓 氏 (静岡大学)
Diederich-Fornaess and Steinness indices for abstract CR manifolds
足立 真訓 氏 (静岡大学)
Diederich-Fornaess and Steinness indices for abstract CR manifolds
[ 講演概要 ]
The Diederich-Fornaes and Steinness indices are estimated for weakly pseudoconvex domains in complex manifolds in terms of the D'Angelo 1-form of the boundary CR manifolds. In particular, CR invariance of these indices is shown when the domain is Takeuchi 1-convex. This is a joint work with Jihun Yum (Pusan National University).
The Diederich-Fornaes and Steinness indices are estimated for weakly pseudoconvex domains in complex manifolds in terms of the D'Angelo 1-form of the boundary CR manifolds. In particular, CR invariance of these indices is shown when the domain is Takeuchi 1-convex. This is a joint work with Jihun Yum (Pusan National University).
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