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過去の記録
過去の記録 ～07/02｜本日 07/03 | 今後の予定 07/04～
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 118号室
伊藤 慧 氏 (東京大学大学院数理科学研究科)
Structure of Kajiwara-Watatani algebras and their Cartan subalgebras
(梶原-綿谷代数の構造とそのカルタン部分代数）
伊藤 慧 氏 (東京大学大学院数理科学研究科)
Structure of Kajiwara-Watatani algebras and their Cartan subalgebras
(梶原-綿谷代数の構造とそのカルタン部分代数）
博士論文発表会
14:45-16:00 数理科学研究科棟(駒場) 118号室
吉野 太郎 氏 (東京大学大学院数理科学研究科)
Stable rationality of hypersurfaces in schön affine varieties
(シェーンアファイン多様体の超曲面の安定的有理性について)
吉野 太郎 氏 (東京大学大学院数理科学研究科)
Stable rationality of hypersurfaces in schön affine varieties
(シェーンアファイン多様体の超曲面の安定的有理性について)
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 122号室
小菅 亮太朗 氏 (東京大学大学院数理科学研究科)
Studies on Chillingworth subgroups of mapping class groups and Andreadakis-Johnson filtrations via Bar cohomology
（写像類群のチリングワース部分群とバーコホモロジーによるアンドレアダキス-ジョンソンフィルトレーションの研究）
小菅 亮太朗 氏 (東京大学大学院数理科学研究科)
Studies on Chillingworth subgroups of mapping class groups and Andreadakis-Johnson filtrations via Bar cohomology
（写像類群のチリングワース部分群とバーコホモロジーによるアンドレアダキス-ジョンソンフィルトレーションの研究）
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 122号室
鄒 勇攀 氏 (東京大学大学院数理科学研究科)
Studies on the positivity of direct image sheaves of adjoint bundles and cohomology vanishing theorems
（随伴束の順像層の正値性とコホモロジー消滅定理の研究）
鄒 勇攀 氏 (東京大学大学院数理科学研究科)
Studies on the positivity of direct image sheaves of adjoint bundles and cohomology vanishing theorems
（随伴束の順像層の正値性とコホモロジー消滅定理の研究）
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 126号室
馬場 智也 氏 (東京大学大学院数理科学研究科)
Log-rank test with nonparametric matching
(ノンパラメトリックなマッチングを用いたログランク検定）
馬場 智也 氏 (東京大学大学院数理科学研究科)
Log-rank test with nonparametric matching
(ノンパラメトリックなマッチングを用いたログランク検定）
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 126号室
栗崎 正博 氏 (東京大学大学院数理科学研究科)
A New Proof for the Linear Filtering and Smoothing Equations, and Asymptotic Expansion of Nonlinear Filtering
(線形フィルタリングおよび平滑化方程式の新たな証明と、非線形フィルターの漸近展開)
栗崎 正博 氏 (東京大学大学院数理科学研究科)
A New Proof for the Linear Filtering and Smoothing Equations, and Asymptotic Expansion of Nonlinear Filtering
(線形フィルタリングおよび平滑化方程式の新たな証明と、非線形フィルターの漸近展開)
博士論文発表会
14:45-16:00 数理科学研究科棟(駒場) 126号室
佐久間 正樹 氏 (東京大学大学院数理科学研究科)
Extensions of the concentration compactness principle and their applications to critical p-fractional Choquard-type equations
(凝集コンパクト性原理の拡張と臨界p-非整数階Choquard 型方程式への応用)
佐久間 正樹 氏 (東京大学大学院数理科学研究科)
Extensions of the concentration compactness principle and their applications to critical p-fractional Choquard-type equations
(凝集コンパクト性原理の拡張と臨界p-非整数階Choquard 型方程式への応用)
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 128号室
齋藤 勇太 氏 (東京大学大学院数理科学研究科)
Lubin-Tate (φ, Γ)-modules and generalization of their coefficient rings
(Lubin-Tate (φ, Γ) 加群とその係数環の一般化）
齋藤 勇太 氏 (東京大学大学院数理科学研究科)
Lubin-Tate (φ, Γ)-modules and generalization of their coefficient rings
(Lubin-Tate (φ, Γ) 加群とその係数環の一般化）
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 128号室
坂東 克之 氏 (東京大学大学院数理科学研究科)
Derived Satake category and Affine Hecke category in mixed characteristics
(混標数の導来佐武圏とアファインヘッケ圏）
坂東 克之 氏 (東京大学大学院数理科学研究科)
Derived Satake category and Affine Hecke category in mixed characteristics
(混標数の導来佐武圏とアファインヘッケ圏）
博士論文発表会
14:45-16:00 数理科学研究科棟(駒場) 128号室
王 沛鐸 氏 (東京大学大学院数理科学研究科)
On generalized Fuchs theorem over relative p-adic polyannuli
(p進相対多重穴あき円板上の一般化フックス定理について）
王 沛鐸 氏 (東京大学大学院数理科学研究科)
On generalized Fuchs theorem over relative p-adic polyannuli
(p進相対多重穴あき円板上の一般化フックス定理について）
2025年01月23日(木)
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 118号室
松田 光智 氏 (東京大学大学院数理科学研究科)
Rational points and Brauer–Manin obstruction on Shimura varieties classifying abelian varieties with quaternionic multiplication
(四元数乗法を持つアーベル多様体を分類する志村多様体の有理点とブラウアー-マニン障害)
松田 光智 氏 (東京大学大学院数理科学研究科)
Rational points and Brauer–Manin obstruction on Shimura varieties classifying abelian varieties with quaternionic multiplication
(四元数乗法を持つアーベル多様体を分類する志村多様体の有理点とブラウアー-マニン障害)
博士論文発表会
14:45-16:00 数理科学研究科棟(駒場) 118号室
佐々木 悠矢 氏 (東京大学大学院数理科学研究科)
On naturality of automorphisms of Hilbert schemes of points of some simple abelian varieties
(単純アーベル多様体の点のヒルベルトスキームの自己同型の自然性について)
佐々木 悠矢 氏 (東京大学大学院数理科学研究科)
On naturality of automorphisms of Hilbert schemes of points of some simple abelian varieties
(単純アーベル多様体の点のヒルベルトスキームの自己同型の自然性について)
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 122号室
名取 雅生 氏 (東京大学大学院数理科学研究科)
A proof of Bott periodicity via Quot schemes and bulk-edge correspondence
(Quotスキームを用いたBott周期性の別証明とバルクエッジ対応)
名取 雅生 氏 (東京大学大学院数理科学研究科)
A proof of Bott periodicity via Quot schemes and bulk-edge correspondence
(Quotスキームを用いたBott周期性の別証明とバルクエッジ対応)
博士論文発表会
14:45-16:00 数理科学研究科棟(駒場) 122号室
吉岡 玲音 氏 (東京大学大学院数理科学研究科)
Some non-trivial cycles of the space of long embeddings detected by configuration space integral invariants using g-loop graphs
( g ループグラフを用いた配置空間積分不変量で検出される埋め込みの空間の非自明なサイクルについて)
吉岡 玲音 氏 (東京大学大学院数理科学研究科)
Some non-trivial cycles of the space of long embeddings detected by configuration space integral invariants using g-loop graphs
( g ループグラフを用いた配置空間積分不変量で検出される埋め込みの空間の非自明なサイクルについて)
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 126号室
劉 沛江 氏 (東京大学大学院数理科学研究科)
Weak admissibility of exponentially twisted cohomology associated with some nondegenerate functions
(非退化関数に付随する捻じれコホモロジーの弱許容性について)
劉 沛江 氏 (東京大学大学院数理科学研究科)
Weak admissibility of exponentially twisted cohomology associated with some nondegenerate functions
(非退化関数に付随する捻じれコホモロジーの弱許容性について)
博士論文発表会
14:45-16:00 数理科学研究科棟(駒場) 126号室
向原 未帆 氏 (東京大学大学院数理科学研究科)
On a Galois correspondence for compact group actions on simple C*-algebras
(単純C*環へのコンパクト群作用に対するガロア対応について)
向原 未帆 氏 (東京大学大学院数理科学研究科)
On a Galois correspondence for compact group actions on simple C*-algebras
(単純C*環へのコンパクト群作用に対するガロア対応について)
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 128号室
権 英哲 氏 (東京大学大学院数理科学研究科)
Games with backtracking options corresponding to the ordinal analysis of PA
(ペアノ算術の順序数解析に対応する、撤回を許したゲーム）
権 英哲 氏 (東京大学大学院数理科学研究科)
Games with backtracking options corresponding to the ordinal analysis of PA
(ペアノ算術の順序数解析に対応する、撤回を許したゲーム）
博士論文発表会
14:45-16:00 数理科学研究科棟(駒場) 128号室
山本 雄太 氏 (東京大学大学院数理科学研究科)
Two-dimensional structure of the duality of values and continuations
(値と継続の双対性の持つ2次元的構造)
山本 雄太 氏 (東京大学大学院数理科学研究科)
Two-dimensional structure of the duality of values and continuations
(値と継続の双対性の持つ2次元的構造)
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 126号室
磯部 伸 氏 (東京大学大学院数理科学研究科)
Mathematical Analysis for Evolution Equations Arising in Deep Learning Theory
(深層学習理論に現れる発展方程式の数理解析）
磯部 伸 氏 (東京大学大学院数理科学研究科)
Mathematical Analysis for Evolution Equations Arising in Deep Learning Theory
(深層学習理論に現れる発展方程式の数理解析）
2025年01月22日(水)
代数幾何学セミナー
13:30-15:00 数理科学研究科棟(駒場) 002号室
田中公 氏 (東京大学)
Liftability and vanishing theorems for Fano threefolds in positive characteristic (日本語)
田中公 氏 (東京大学)
Liftability and vanishing theorems for Fano threefolds in positive characteristic (日本語)
[ 講演概要 ]
Smooth Fano threefolds in positive characteristic satisfy Kodaira vanishing and lift to characteristic zero. This is joint work with Tatsuro Kawakami.
Smooth Fano threefolds in positive characteristic satisfy Kodaira vanishing and lift to characteristic zero. This is joint work with Tatsuro Kawakami.
2025年01月21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) 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。
小菅 亮太朗 氏 (東京大学大学院数理科学研究科)
Rational abelianizations of Chillingworth subgroups of mapping class groups and automorphism groups of free groups (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。
小菅 亮太朗 氏 (東京大学大学院数理科学研究科)
Rational abelianizations of Chillingworth subgroups of mapping class groups and automorphism groups of free groups (JAPANESE)
[ 講演概要 ]
The Chillingworth subgroup of the mapping class group of a surface is defined as the subgroup consisting of elements that preserve nonsingular vector fields up to homotopy. The action of the mapping class group on the set of homotopy classes of nonsingular vector fields is described using the concept of the winding number. By employing a cohomological approach, we extend the notion of the winding number to general manifolds, introducing the definition of the Chillingworth subgroup for both the mapping class group of general manifolds and the automorphism group of a free group. In this work, we determine the rational abelianization of the Chillingworth subgroup of the mapping class group of a surface and, under a certain assumption, also determine the rational abelianization of the Chillingworth subgroup for the automorphism group of a free group.
[ 参考URL ]The Chillingworth subgroup of the mapping class group of a surface is defined as the subgroup consisting of elements that preserve nonsingular vector fields up to homotopy. The action of the mapping class group on the set of homotopy classes of nonsingular vector fields is described using the concept of the winding number. By employing a cohomological approach, we extend the notion of the winding number to general manifolds, introducing the definition of the Chillingworth subgroup for both the mapping class group of general manifolds and the automorphism group of a free group. In this work, we determine the rational abelianization of the Chillingworth subgroup of the mapping class group of a surface and, under a certain assumption, also determine the rational abelianization of the Chillingworth subgroup for the automorphism group of a free group.
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
2025年01月20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。
Arka Adhikari 氏 (University of Maryland)
Spectral measure for uniform d-regular digraphs
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。
Arka Adhikari 氏 (University of Maryland)
Spectral measure for uniform d-regular digraphs
[ 講演概要 ]
Consider the matrix $\sfA_\GG$ chosen uniformly at random from the finite
set of all $N$-dimensional matrices of zero main-diagonal and binary entries,
having each row and column of $\sfA_\GG$ sum to $d$.
That is, the adjacency matrix for the uniformly random
$d$-regular simple digraph $\GG$. Fixing $d \ge 3$, it has long been conjectured
that as $N \to \infty$ the corresponding empirical eigenvalue distributions converge
weakly, in probability, to an explicit non-random limit,
given by the Brown measure of the free sum of $d$ Haar unitary operators.
We reduce this conjecture to bounding the decay in $N$ of the probability that
the minimal singular value of the shifted matrix $\sfA(w) = \sfA_\GG - w \sfI$
is very small. While the latter remains a challenging task, the required bound is
comparable to the recently established control on the singularity of $\sfA_\GG$.
The reduction is achieved here by sharp estimates
on the behavior at large $N$, near the real line, of the Green's function (aka resolvent)
of the Hermitization of $\sfA(w)$, which is of independent interest.
Joint w/ A. Dembo
Consider the matrix $\sfA_\GG$ chosen uniformly at random from the finite
set of all $N$-dimensional matrices of zero main-diagonal and binary entries,
having each row and column of $\sfA_\GG$ sum to $d$.
That is, the adjacency matrix for the uniformly random
$d$-regular simple digraph $\GG$. Fixing $d \ge 3$, it has long been conjectured
that as $N \to \infty$ the corresponding empirical eigenvalue distributions converge
weakly, in probability, to an explicit non-random limit,
given by the Brown measure of the free sum of $d$ Haar unitary operators.
We reduce this conjecture to bounding the decay in $N$ of the probability that
the minimal singular value of the shifted matrix $\sfA(w) = \sfA_\GG - w \sfI$
is very small. While the latter remains a challenging task, the required bound is
comparable to the recently established control on the singularity of $\sfA_\GG$.
The reduction is achieved here by sharp estimates
on the behavior at large $N$, near the real line, of the Green's function (aka resolvent)
of the Hermitization of $\sfA(w)$, which is of independent interest.
Joint w/ A. Dembo
2025年01月16日(木)
談話会・数理科学講演会
15:30-16:30 数理科学研究科棟(駒場) 大講義室(Large Lecture Room)号室
万一感染クラスター発生時にご連絡差し上げるため、[参考URL]から参加登録をお願いいたします。
陳榮凱 氏 (國立臺灣大學)
On classification of threefolds of general type (English)
https://docs.google.com/forms/d/e/1FAIpQLSfuEUNS92y5dTPoEANkgieuPhmDDQLB_fI4d-GT2p0VkT8KOg/viewform?usp=header
万一感染クラスター発生時にご連絡差し上げるため、[参考URL]から参加登録をお願いいたします。
陳榮凱 氏 (國立臺灣大學)
On classification of threefolds of general type (English)
[ 講演概要 ]
In higher dimensional algebraic geometry, the following three types of varieties are considered to be the building blocks: Fano varieties, Calabi-Yau varieties, and varieties of general type. In the study of varieties of general type, one usually works on "good models" inside birationally equivalent classes. Minimal models and canonical models are natural choices of good models.
In the first part of the talk, we will try to introduce some aspects of the geography problem for threefolds of general type, which aim to study the distribution of birational invariants of threefolds of general type. In the second part of the talk, we will explore more geometric properties of those threefolds on or near the boundary. Some explicit examples will be described and we will compare various different models explicitly. If time permits, we also try to talk about their moduli spaces from different points of view.
[ 参考URL ]In higher dimensional algebraic geometry, the following three types of varieties are considered to be the building blocks: Fano varieties, Calabi-Yau varieties, and varieties of general type. In the study of varieties of general type, one usually works on "good models" inside birationally equivalent classes. Minimal models and canonical models are natural choices of good models.
In the first part of the talk, we will try to introduce some aspects of the geography problem for threefolds of general type, which aim to study the distribution of birational invariants of threefolds of general type. In the second part of the talk, we will explore more geometric properties of those threefolds on or near the boundary. Some explicit examples will be described and we will compare various different models explicitly. If time permits, we also try to talk about their moduli spaces from different points of view.
https://docs.google.com/forms/d/e/1FAIpQLSfuEUNS92y5dTPoEANkgieuPhmDDQLB_fI4d-GT2p0VkT8KOg/viewform?usp=header
東京無限可積分系セミナー
15:30-16:30 数理科学研究科棟(駒場) オンライン開催号室
参加希望の方は連絡をお願いします。
Jean-Emile Bourgine 氏 (SIMIS (Shanghai Institute for Mathematics and Interdisciplinary Sciences))
Free field representations of quantum groups and q-deformed W-algebras through cluster algebras (ENGLISH)
参加希望の方は連絡をお願いします。
Jean-Emile Bourgine 氏 (SIMIS (Shanghai Institute for Mathematics and Interdisciplinary Sciences))
Free field representations of quantum groups and q-deformed W-algebras through cluster algebras (ENGLISH)
[ 講演概要 ]
Following the development of the AGT correspondence, new relations between free field representations of quantum groups and W-algebras were obtained. The simplest one is the homomorphism between the level $(N,0)$ horizontal representation of the quantum toroidal gl(1) algebra and (dressed) q-deformed $W_N$ algebras. In this talk, I will explain how to extend this type of relations to the Wakimoto representations of quantum affine sl(N) algebras using the 'surface defect' deformation of the quantum toroidal sl(N) algebra.
Following the development of the AGT correspondence, new relations between free field representations of quantum groups and W-algebras were obtained. The simplest one is the homomorphism between the level $(N,0)$ horizontal representation of the quantum toroidal gl(1) algebra and (dressed) q-deformed $W_N$ algebras. In this talk, I will explain how to extend this type of relations to the Wakimoto representations of quantum affine sl(N) algebras using the 'surface defect' deformation of the quantum toroidal sl(N) algebra.
2025年01月14日(火)
解析学火曜セミナー
16:00-17:30 数理科学研究科棟(駒場) 128号室
対面・オンラインハイブリッド開催，場所にご注意ください
鈴木香奈子 氏 (茨城大学)
Existence and stability of discontinuous stationary solutions to reaction-diffusion-ODE systems (Japanese)
https://forms.gle/GtA4bpBuy5cNzsyX8
対面・オンラインハイブリッド開催，場所にご注意ください
鈴木香奈子 氏 (茨城大学)
Existence and stability of discontinuous stationary solutions to reaction-diffusion-ODE systems (Japanese)
[ 講演概要 ]
We consider reaction-diffusion-ODE systems, which consists of a single reaction-diffusion equation coupled with ordinary differential equations. Such systems arise, for example, from modeling of interactions between cellular processes and diffusing growth factors.
Reaction-diffusion-ODE systems in a bounded domain with Neumann boundary condition may have two types of stationary solutions, regular and discontinuous. We can show that all regular stationary solutions are unstable. This implies that reaction-diffusion-ODE systems cannot exhibit spatial patterns, and possible stable stationary solutions must be singular or discontinuous. In this talk, we present sufficient conditions for the existence and stability of discontinuous stationary solutions.
This talk is based on joint works with A. Marciniak-Czochra (Heidelberg University), G. Karch (University of Wroclaw) and S. Cygan (University of Wroclaw).
[ 参考URL ]We consider reaction-diffusion-ODE systems, which consists of a single reaction-diffusion equation coupled with ordinary differential equations. Such systems arise, for example, from modeling of interactions between cellular processes and diffusing growth factors.
Reaction-diffusion-ODE systems in a bounded domain with Neumann boundary condition may have two types of stationary solutions, regular and discontinuous. We can show that all regular stationary solutions are unstable. This implies that reaction-diffusion-ODE systems cannot exhibit spatial patterns, and possible stable stationary solutions must be singular or discontinuous. In this talk, we present sufficient conditions for the existence and stability of discontinuous stationary solutions.
This talk is based on joint works with A. Marciniak-Czochra (Heidelberg University), G. Karch (University of Wroclaw) and S. Cygan (University of Wroclaw).
https://forms.gle/GtA4bpBuy5cNzsyX8
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