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過去の記録 ～06/07｜本日 06/08 | 今後の予定 06/09～
2026年06月09日(火)
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
星野泰佑 氏 (東大数理)
Rigidity for graph-wreath product II$_1$ factors
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
星野泰佑 氏 (東大数理)
Rigidity for graph-wreath product II$_1$ factors
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
トポロジー火曜セミナー
16:00-17:30 数理科学研究科棟(駒場) hybrid/056号室
対面参加、オンライン参加のいずれの場合もセミナーのホームページから参加登録を行って下さい。
田邊 真郷 氏 (理化学研究所数理創造研究センター)
Thom polynomials relative to maps prescribed near the boundary (JAPANESE)
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
対面参加、オンライン参加のいずれの場合もセミナーのホームページから参加登録を行って下さい。
田邊 真郷 氏 (理化学研究所数理創造研究センター)
Thom polynomials relative to maps prescribed near the boundary (JAPANESE)
[ 講演概要 ]
Thom polynomials are universal cohomological obstructions to the appearance of singularities of given types in differentiable maps. Introduced by R. Thom in the 1950s, they have been extensively studied ever since. In one important line of applications, various invariants of immersions have been expressed in terms of singularities of their extensions (a.k.a. singular Seifert surfaces). However, these formulas are obtained in different forms and remain somewhat scattered.
In this talk, as the first step to unify them, I would like to introduce the notion of Thom polynomials relative to prescribed maps around the boundary. As a main result, we show a structure theorem of Thom polynomials relative to framed immersions. In fact, most of the earlier formulas are summarized as the vanishing of "correction terms" appearing in the structure theorem. Our key tools are Steenrod's obstruction theory and Kervaire's relative characteristic classes, and the K-invariance of singularity types plays an important role.
[ 参考URL ]Thom polynomials are universal cohomological obstructions to the appearance of singularities of given types in differentiable maps. Introduced by R. Thom in the 1950s, they have been extensively studied ever since. In one important line of applications, various invariants of immersions have been expressed in terms of singularities of their extensions (a.k.a. singular Seifert surfaces). However, these formulas are obtained in different forms and remain somewhat scattered.
In this talk, as the first step to unify them, I would like to introduce the notion of Thom polynomials relative to prescribed maps around the boundary. As a main result, we show a structure theorem of Thom polynomials relative to framed immersions. In fact, most of the earlier formulas are summarized as the vanishing of "correction terms" appearing in the structure theorem. Our key tools are Steenrod's obstruction theory and Kervaire's relative characteristic classes, and the K-invariance of singularity types plays an important role.
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
2026年06月10日(水)
代数学コロキウム
17:00-18:00 数理科学研究科棟(駒場) 117号室
Ana Caraiani 氏 (Imperial College London)
Towards an Eichler-Shimura decomposition for ordinary p-adic Siegel modular forms
Ana Caraiani 氏 (Imperial College London)
Towards an Eichler-Shimura decomposition for ordinary p-adic Siegel modular forms
[ 講演概要 ]
There are two different ways to construct families of ordinary p-adic Siegel modular forms. One is by p-adically interpolating classes in Betti cohomology, first introduced by Hida and then given a more representation-theoretic interpretation by Emerton. The other is by p-adically interpolating classes in coherent cohomology, once again pioneered by Hida and generalised in recent years by Boxer and Pilloni. I will explain these two constructions and then discuss joint work in progress with James Newton and Juan Esteban Rodríguez Camargo that aims to compare them.
There are two different ways to construct families of ordinary p-adic Siegel modular forms. One is by p-adically interpolating classes in Betti cohomology, first introduced by Hida and then given a more representation-theoretic interpretation by Emerton. The other is by p-adically interpolating classes in coherent cohomology, once again pioneered by Hida and generalised in recent years by Boxer and Pilloni. I will explain these two constructions and then discuss joint work in progress with James Newton and Juan Esteban Rodríguez Camargo that aims to compare them.
2026年06月15日(月)
東京確率論セミナー
16:00-17:30 数理科学研究科棟(駒場) 126号室
15:15〜 ２階のコモンルームでTea timeを行います。ぜひこちらにもご参加ください。
一場 知之 氏 (University of California Santa Barbara)
Feynman formula for discrete-time quantum walk and its applications
15:15〜 ２階のコモンルームでTea timeを行います。ぜひこちらにもご参加ください。
一場 知之 氏 (University of California Santa Barbara)
Feynman formula for discrete-time quantum walk and its applications
[ 講演概要 ]
We explicitly connect (discrete-time) quantum walks on Z with a four-state Markov additive process via a Feynman-type formula. Using this representation, we derive a relation between the spectral decomposition of the Markov additive process and the limiting density of the homogeneous quantum walk. In addition, we consider a space-time rescaling of quantum walks, which leads to a system of quantum transport PDEs of Dirac type in continuous time and space with phase interaction and potential terms. Our probabilistic representation for this type of PDE offers its stochastic extension as well as an efficient Monte Carlo computational technique. This is joint work with Jean-Pierre Fouque and Ka Lok Lam.
We explicitly connect (discrete-time) quantum walks on Z with a four-state Markov additive process via a Feynman-type formula. Using this representation, we derive a relation between the spectral decomposition of the Markov additive process and the limiting density of the homogeneous quantum walk. In addition, we consider a space-time rescaling of quantum walks, which leads to a system of quantum transport PDEs of Dirac type in continuous time and space with phase interaction and potential terms. Our probabilistic representation for this type of PDE offers its stochastic extension as well as an efficient Monte Carlo computational technique. This is joint work with Jean-Pierre Fouque and Ka Lok Lam.
2026年06月16日(火)
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
石倉宙樹 氏 (京大数理研)
Borel planar complexes and soficity
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
石倉宙樹 氏 (京大数理研)
Borel planar complexes and soficity
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
トポロジー火曜セミナー
16:00-17:30 数理科学研究科棟(駒場) hybrid/128号室
対面参加、オンライン参加のいずれの場合もセミナーのホームページから参加登録を行って下さい。
森脇 湧登 氏 (理化学研究所数理創造研究センター)
共形平坦因子化ホモロジー (JAPANESE)
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
対面参加、オンライン参加のいずれの場合もセミナーのホームページから参加登録を行って下さい。
森脇 湧登 氏 (理化学研究所数理創造研究センター)
共形平坦因子化ホモロジー (JAPANESE)
[ 講演概要 ]
本講演では、Lurie の因子化ホモロジーの共形リーマン幾何類似として導入された、共形平坦因子化ホモロジーを紹介する。
通常の因子化ホモロジーは、d-disk 代数を入力として、d次元多様体の計量に依存しない不変量を与える。これに対し、共形平坦因子化ホモロジーでは、disk の共形埋め込みのなす operad の代数である共形平坦 d-disk 代数を入力とし、その左 Kan 拡張により、共形平坦リーマン多様体の計量に依存した不変量を構成する。
この理論は、局所的な共形変換の表現とリーマン幾何的な不変量を結びつける枠組みを与え、d次元の共形場理論の局所構造を記述するものである。講演では、2次元の場合には Bergman 空間と Grunsky 作用素、3次元以上の場合には SO+(d,1) のユニタリ表現を用いて構成される具体例についても説明する。
本講演は arXiv:2602.08729 および arXiv:2603.06491に基づく。
[ 参考URL ]本講演では、Lurie の因子化ホモロジーの共形リーマン幾何類似として導入された、共形平坦因子化ホモロジーを紹介する。
通常の因子化ホモロジーは、d-disk 代数を入力として、d次元多様体の計量に依存しない不変量を与える。これに対し、共形平坦因子化ホモロジーでは、disk の共形埋め込みのなす operad の代数である共形平坦 d-disk 代数を入力とし、その左 Kan 拡張により、共形平坦リーマン多様体の計量に依存した不変量を構成する。
この理論は、局所的な共形変換の表現とリーマン幾何的な不変量を結びつける枠組みを与え、d次元の共形場理論の局所構造を記述するものである。講演では、2次元の場合には Bergman 空間と Grunsky 作用素、3次元以上の場合には SO+(d,1) のユニタリ表現を用いて構成される具体例についても説明する。
本講演は arXiv:2602.08729 および arXiv:2603.06491に基づく。
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
2026年06月22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) 126号室
オンライン開催のみ。対面での開催はありません。
四ッ谷 直仁 氏 (静岡大学/IMAG, モンペリエ大学)
Secondary polytopes of spherical varieties (Japanese)
https://forms.gle/8ERsVDLuKHwbVzm57
オンライン開催のみ。対面での開催はありません。
四ッ谷 直仁 氏 (静岡大学/IMAG, モンペリエ大学)
Secondary polytopes of spherical varieties (Japanese)
[ 講演概要 ]
This talk is based on ongoing joint work with Thibaut Delcroix and King Leung Lee. Our main objective is to investigate the Chow stability of spherical varieties.
A celebrated theorem of Gelfand, Kapranov, Sturmfels, and Zelevinsky (1992) states that the Chow polytopes of projective toric varieties coincide with their secondary polytopes. In the spherical setting, one can construct an analogous polytope, which may be viewed as a natural generalization of the secondary polytope of a toric variety. In this talk, I will explain the construction of this polytope and its relation to Chow stability. Particular emphasis will be placed on how the classical GKZ argument in the toric setting can be adapted to the broader context of spherical varieties.
[ 参考URL ]This talk is based on ongoing joint work with Thibaut Delcroix and King Leung Lee. Our main objective is to investigate the Chow stability of spherical varieties.
A celebrated theorem of Gelfand, Kapranov, Sturmfels, and Zelevinsky (1992) states that the Chow polytopes of projective toric varieties coincide with their secondary polytopes. In the spherical setting, one can construct an analogous polytope, which may be viewed as a natural generalization of the secondary polytope of a toric variety. In this talk, I will explain the construction of this polytope and its relation to Chow stability. Particular emphasis will be placed on how the classical GKZ argument in the toric setting can be adapted to the broader context of spherical varieties.
https://forms.gle/8ERsVDLuKHwbVzm57
東京確率論セミナー
16:00-17:30 数理科学研究科棟(駒場) 126号室
15:15〜 ２階のコモンルームでTea timeを行います。ぜひこちらにもご参加ください。
永津 愛彩 氏 (京都大学)
Large $N$ expansion for smooth multi-trace spectral statistics of
classical matrix ensembles, central limit theorems and matrix integrals.
15:15〜 ２階のコモンルームでTea timeを行います。ぜひこちらにもご参加ください。
永津 愛彩 氏 (京都大学)
Large $N$ expansion for smooth multi-trace spectral statistics of
classical matrix ensembles, central limit theorems and matrix integrals.
[ 講演概要 ]
We consider expectations of the form $E [tr h_1(X_1^N)... tr h_r(X_r^N)]$,
where $X_i^N$ are self-adjoint polynomials in various independent
classical random matrices and $h_i$ are smooth test function and obtain a
large $N$ expansion of these quantities, building on the framework of
polynomial approximation and Bernstein-type inequalities recently
developed by Chen, Garza-Vargas, Tropp, and van Handel.
As applications of the above, we prove the higher-order asymptotic
vanishing of cumulants for smooth linear statistics, establish a Central
Limit Theorem, and demonstrate the existence of formal asymptotic
expansions for the free energy and observables of matrix integrals with
smooth potentials.
In addition to presenting these results, we will briefly review the role
of linear statistics in random matrix theory and discuss the motivation
behind the large $N$ expansion framework introduced in the context of
strong convergence.
This talk is based on joint work with Benoit Collins.
We consider expectations of the form $E [tr h_1(X_1^N)... tr h_r(X_r^N)]$,
where $X_i^N$ are self-adjoint polynomials in various independent
classical random matrices and $h_i$ are smooth test function and obtain a
large $N$ expansion of these quantities, building on the framework of
polynomial approximation and Bernstein-type inequalities recently
developed by Chen, Garza-Vargas, Tropp, and van Handel.
As applications of the above, we prove the higher-order asymptotic
vanishing of cumulants for smooth linear statistics, establish a Central
Limit Theorem, and demonstrate the existence of formal asymptotic
expansions for the free energy and observables of matrix integrals with
smooth potentials.
In addition to presenting these results, we will briefly review the role
of linear statistics in random matrix theory and discuss the motivation
behind the large $N$ expansion framework introduced in the context of
strong convergence.
This talk is based on joint work with Benoit Collins.
2026年06月23日(火)
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
Ravi Mistry 氏 (東大数理)
未定
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
Ravi Mistry 氏 (東大数理)
未定
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
トポロジー火曜セミナー
16:00-17:30 数理科学研究科棟(駒場) hybrid/056号室
対面参加、オンライン参加のいずれの場合もセミナーのホームページから参加登録を行って下さい。
Andrei Pajitnov 氏 (Université de Nantes)
Morse-Novikov theory for links (ENGLISH)
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
対面参加、オンライン参加のいずれの場合もセミナーのホームページから参加登録を行って下さい。
Andrei Pajitnov 氏 (Université de Nantes)
Morse-Novikov theory for links (ENGLISH)
[ 講演概要 ]
Let M be a compact manifold with a non-empty boundary N, and x an element of the first cohomology group of M. We assume that the restriction of x to N can be represented by a fibration over a circle. The Morse-Novikov number MN(M,x) is the minimal possible number of critical points of a Morse map f of M to a circle, such that [f]=x, and the restriction of f to N is a fibration over the circle. In this talk we present our results about the Morse-Novikov numbers for the exteriors of links in 3-sphere. This is joint work with L. Chen and H. Endo.
[ 参考URL ]Let M be a compact manifold with a non-empty boundary N, and x an element of the first cohomology group of M. We assume that the restriction of x to N can be represented by a fibration over a circle. The Morse-Novikov number MN(M,x) is the minimal possible number of critical points of a Morse map f of M to a circle, such that [f]=x, and the restriction of f to N is a fibration over the circle. In this talk we present our results about the Morse-Novikov numbers for the exteriors of links in 3-sphere. This is joint work with L. Chen and H. Endo.
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
2026年06月26日(金)
談話会・数理科学講演会
15:30-16:30 数理科学研究科棟(駒場) NISSAY Lecture Hall号室
ベズ ニール 氏 (東京大学大学院数理科学研究科)
掛谷予想とBrascamp-Lieb不等式 (日本語)
ベズ ニール 氏 (東京大学大学院数理科学研究科)
掛谷予想とBrascamp-Lieb不等式 (日本語)
[ 講演概要 ]
掛谷予想は、表向きは幾何学的測度論の問題であるにもかかわらず、
現代のフーリエ解析において極めて重要な役割を果たしています。
本講演では、このつながりについて議論した後、
この文脈におけるBrascamp-Lieb不等式の重要性を説明し、
同不等式の理論における最近の進展について紹介します。
掛谷予想は、表向きは幾何学的測度論の問題であるにもかかわらず、
現代のフーリエ解析において極めて重要な役割を果たしています。
本講演では、このつながりについて議論した後、
この文脈におけるBrascamp-Lieb不等式の重要性を説明し、
同不等式の理論における最近の進展について紹介します。
幾何解析セミナー
13:30-14;30 数理科学研究科棟(駒場) 002号室
Federica Dragoni 氏 (Cardiff University)
Convexity: from the Euclidean space to Riemannian and sub-Riemannian manifolds (英語)
https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/
Federica Dragoni 氏 (Cardiff University)
Convexity: from the Euclidean space to Riemannian and sub-Riemannian manifolds (英語)
[ 講演概要 ]
In this talk I will give an overview on different notions of convexity introduced in the last decades to generalise the standard (Euclidean) convexity to different geometries such as Riemannian manifolds, Carnot groups and the geometry of vector fields. Later I will show some more recent developments and how this new geometrical approach can connect most of the previous notions.
[ 参考URL ]In this talk I will give an overview on different notions of convexity introduced in the last decades to generalise the standard (Euclidean) convexity to different geometries such as Riemannian manifolds, Carnot groups and the geometry of vector fields. Later I will show some more recent developments and how this new geometrical approach can connect most of the previous notions.
https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/
2026年06月29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) 126号室
Chin-Yu Hsiao 氏 (国立台湾大学)
TBA (English)
[ 参考URL ]
https://forms.gle/8ERsVDLuKHwbVzm57
Chin-Yu Hsiao 氏 (国立台湾大学)
TBA (English)
[ 参考URL ]
https://forms.gle/8ERsVDLuKHwbVzm57
2026年07月01日(水)
代数学コロキウム
17:00-18:00 数理科学研究科棟(駒場) 117号室
石倉麟太郎 氏 (東京大学大学院数理科学研究科)
On boundedness of the number of cuspidal automorphic representations of Mp(4) ordinary at p
石倉麟太郎 氏 (東京大学大学院数理科学研究科)
On boundedness of the number of cuspidal automorphic representations of Mp(4) ordinary at p
[ 講演概要 ]
We study p-ordinary cuspidal automorphic representations of the metaplectic group Mp(4) with holomorphic discrete series at infinity, whose A-parameters are tempered. Using two Iwahori-level Hecke operators, we define an ordinary projector and investigate the conditions to be ordinary at p. Fixing the level K, we prove a bound (depending only on K) for the number of genuine cuspidal automorphic representations of Mp(4) ordinary at p and containing nonzero K-fixed vectors, as the holomorphic weight varies.
We study p-ordinary cuspidal automorphic representations of the metaplectic group Mp(4) with holomorphic discrete series at infinity, whose A-parameters are tempered. Using two Iwahori-level Hecke operators, we define an ordinary projector and investigate the conditions to be ordinary at p. Fixing the level K, we prove a bound (depending only on K) for the number of genuine cuspidal automorphic representations of Mp(4) ordinary at p and containing nonzero K-fixed vectors, as the holomorphic weight varies.
2026年07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) 126号室
Xiaojun Wu 氏 (筑波大学)
TBA (English)
[ 参考URL ]
https://forms.gle/8ERsVDLuKHwbVzm57
Xiaojun Wu 氏 (筑波大学)
TBA (English)
[ 参考URL ]
https://forms.gle/8ERsVDLuKHwbVzm57
2026年07月07日(火)
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
橋本七海 氏 (慶応大)
Equivalence of categories of KK-theory or E-theory for $C^*$-algebras over topological spaces by reflection functors
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
橋本七海 氏 (慶応大)
Equivalence of categories of KK-theory or E-theory for $C^*$-algebras over topological spaces by reflection functors
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
2026年07月13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) 126号室
神田 秀峰 氏 (東京大学)
TBA (Japanese)
[ 参考URL ]
https://forms.gle/8ERsVDLuKHwbVzm57
神田 秀峰 氏 (東京大学)
TBA (Japanese)
[ 参考URL ]
https://forms.gle/8ERsVDLuKHwbVzm57
2026年07月14日(火)
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 (千葉大学)
未定
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
安藤浩志 氏 (千葉大学)
未定
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
2026年07月21日(火)
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
磯野優介 氏 (京大数理研)
Introduction to Tomita--Takesaki theory
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
磯野優介 氏 (京大数理研)
Introduction to Tomita--Takesaki theory
[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
