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過去の記録
過去の記録 ～04/26｜本日 04/27 | 今後の予定 04/28～
2024年03月11日(月)
日仏数学拠点FJ-LMIセミナー
13:30-14:30 数理科学研究科棟(駒場) 117号室
Florian SALIN 氏 (Université de Lyon - Tohoku University)
Fractional Nonlinear Diffusion Equation: Numerical Analysis and Large-time Behavior. (英語)
https://fj-lmi.cnrs.fr/seminars/
Florian SALIN 氏 (Université de Lyon - Tohoku University)
Fractional Nonlinear Diffusion Equation: Numerical Analysis and Large-time Behavior. (英語)
[ 講演概要 ]
This talk will discuss a fractional nonlinear diffusion equation on bounded domains. This equation arises by combining fractional (in space) diffusion, with a nonlinearity of porous medium or fast diffusion type. It is known that, in the porous medium case, the energy of the solutions to this equation decays algebraically, and in the fast diffusion case, solutions extinct in finite time. Based on these estimates, we will study the fine large-time asymptotic behavior of the solutions. In particular, we will show that the solutions approach separate variable solutions as the time converges to infinity in the porous medium case, or as it converges to the extinction time in the fast diffusion case. However, the extinction time is not known analytically, and to compute it, we will introduce a numerical scheme that satisfies the same decay estimates as the continuous equation.
[ 参考URL ]This talk will discuss a fractional nonlinear diffusion equation on bounded domains. This equation arises by combining fractional (in space) diffusion, with a nonlinearity of porous medium or fast diffusion type. It is known that, in the porous medium case, the energy of the solutions to this equation decays algebraically, and in the fast diffusion case, solutions extinct in finite time. Based on these estimates, we will study the fine large-time asymptotic behavior of the solutions. In particular, we will show that the solutions approach separate variable solutions as the time converges to infinity in the porous medium case, or as it converges to the extinction time in the fast diffusion case. However, the extinction time is not known analytically, and to compute it, we will introduce a numerical scheme that satisfies the same decay estimates as the continuous equation.
https://fj-lmi.cnrs.fr/seminars/
2024年02月21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
Jens Niklas Eberhardt 氏 (University of Bonn)
K-motives and Local Langlands (English)
Jens Niklas Eberhardt 氏 (University of Bonn)
K-motives and Local Langlands (English)
[ 講演概要 ]
In this talk, we construct a geometric realisation of the category of representations of the affine Hecke algebra. For this, we introduce a formalism of K-theoretic sheaves (called K-motives) on stacks. The affine Hecke algebra arises from the K-theory of the Steinberg stack, and we explain how to “category” using K-motives.
Lastly, we briefly discuss the relation to the local Langlands program.
In this talk, we construct a geometric realisation of the category of representations of the affine Hecke algebra. For this, we introduce a formalism of K-theoretic sheaves (called K-motives) on stacks. The affine Hecke algebra arises from the K-theory of the Steinberg stack, and we explain how to “category” using K-motives.
Lastly, we briefly discuss the relation to the local Langlands program.
2024年02月13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) ハイブリッド開催/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。
Paul Norbury 氏 (The University of Melbourne)
Measures on the moduli space of curves and super volumes (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。
Paul Norbury 氏 (The University of Melbourne)
Measures on the moduli space of curves and super volumes (ENGLISH)
[ 講演概要 ]
In this lecture I will define a family of finite measures on the moduli space of smooth curves with marked points. The measures are defined via a construction analogous to that of the Weil-Petersson metric using the extra data of a spin structure. In fact, the measures arise naturally out of the super Weil-Petersson metric defined over the moduli space of super curves. The total measure can be identified with the volume of the moduli space of super curves. It can be calculated in many examples, and conjecturally satisfies a recursion analogous to Mirzakhani's recursion relations between Weil-Petersson volumes of moduli spaces of hyperbolic surfaces. This conjecture has been verified in many cases, including the so-called Neveu-Schwarz case where it coincides with the recursion of Stanford and Witten. The general case produces deformations of the Neveu-Schwarz volume polynomials, satisfying the same Mirzakhani-like recursion relations.
[ 参考URL ]In this lecture I will define a family of finite measures on the moduli space of smooth curves with marked points. The measures are defined via a construction analogous to that of the Weil-Petersson metric using the extra data of a spin structure. In fact, the measures arise naturally out of the super Weil-Petersson metric defined over the moduli space of super curves. The total measure can be identified with the volume of the moduli space of super curves. It can be calculated in many examples, and conjecturally satisfies a recursion analogous to Mirzakhani's recursion relations between Weil-Petersson volumes of moduli spaces of hyperbolic surfaces. This conjecture has been verified in many cases, including the so-called Neveu-Schwarz case where it coincides with the recursion of Stanford and Witten. The general case produces deformations of the Neveu-Schwarz volume polynomials, satisfying the same Mirzakhani-like recursion relations.
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
2024年02月08日(木)
情報数学セミナー
16:50-18:35 数理科学研究科棟(駒場) 128号室
菅野 恵太 氏 (株式会社QunaSys)
量子コンピュータとその応用の現状 (Japanese)
菅野 恵太 氏 (株式会社QunaSys)
量子コンピュータとその応用の現状 (Japanese)
[ 講演概要 ]
量子コンピュータは近年急速な発達を遂げている一方、未だ本格的な産業応用には至っていない。本講演では、量子コンピュータ開発の現状と展望を、産業応用を目指して量子アルゴリズム研究開発を行うベンチャー企業の視点から紹介する。
量子コンピュータは近年急速な発達を遂げている一方、未だ本格的な産業応用には至っていない。本講演では、量子コンピュータ開発の現状と展望を、産業応用を目指して量子アルゴリズム研究開発を行うベンチャー企業の視点から紹介する。
2024年02月05日(月)
応用解析セミナー
16:00-17:30 数理科学研究科棟(駒場) 122号室
対面・オンラインハイブリッド開催（通常と開催曜日・会場が異なりますのでご注意ください）
Reinhard Farwig 氏 (Technische Universität Darmstadt)
Viscous Flow in Domains with Moving Boundaries - From Bounded to Unbounded Domains (English)
https://forms.gle/xKPKu1uw9PeHEEck9
対面・オンラインハイブリッド開催（通常と開催曜日・会場が異なりますのでご注意ください）
Reinhard Farwig 氏 (Technische Universität Darmstadt)
Viscous Flow in Domains with Moving Boundaries - From Bounded to Unbounded Domains (English)
[ 講演概要 ]
以下のPDFファイルをご参照ください：
https://drive.google.com/file/d/1dJJU1ybE-n8yn3LZTReTeH2UFX9wXQv9/view?usp=drive_link
[ 参考URL ]以下のPDFファイルをご参照ください：
https://drive.google.com/file/d/1dJJU1ybE-n8yn3LZTReTeH2UFX9wXQv9/view?usp=drive_link
https://forms.gle/xKPKu1uw9PeHEEck9
東京確率論セミナー
17:00-18:30 数理科学研究科棟(駒場) 126号室
16:15から２階のコモンルームでTea timeを行いますので、ぜひそちらにもご参加ください。
Sunder Sethuraman 氏 (University of Arizona)
Atypical behaviors of a tagged particle in asymmetric simple exclusion (English)
16:15から２階のコモンルームでTea timeを行いますので、ぜひそちらにもご参加ください。
Sunder Sethuraman 氏 (University of Arizona)
Atypical behaviors of a tagged particle in asymmetric simple exclusion (English)
[ 講演概要 ]
Informally, the one dimensional asymmetric simple exclusion process follows a collection of continuous time random walks on Z interacting as follows: When a clock rings, the particle jumps to the nearest right or left with probabilities p or q=1-p, if that location is unoccupied. If occupied, the jump is suppressed and clocks start again.
In this system, seen as a toy model of `traffic', the motion of a distinguished or `tagged' particle is of interest. Starting from a stationary state, we study the `typical' behavior of a tagged particle, conditioned to deviate to an `atypical' position at time Nt, for a t>0 fixed. In the course of results, an `upper tail' large deviation principle, in scale N, is established for the position of the tagged particle. Also, with respect to `lower tail' events, in the totally asymmetric version, a connection is made with a `nonentropy' solution of the associated hydrodynamic Burgers equation. This is work with S.R.S. Varadhan (arXiv:2311.0780).
Informally, the one dimensional asymmetric simple exclusion process follows a collection of continuous time random walks on Z interacting as follows: When a clock rings, the particle jumps to the nearest right or left with probabilities p or q=1-p, if that location is unoccupied. If occupied, the jump is suppressed and clocks start again.
In this system, seen as a toy model of `traffic', the motion of a distinguished or `tagged' particle is of interest. Starting from a stationary state, we study the `typical' behavior of a tagged particle, conditioned to deviate to an `atypical' position at time Nt, for a t>0 fixed. In the course of results, an `upper tail' large deviation principle, in scale N, is established for the position of the tagged particle. Also, with respect to `lower tail' events, in the totally asymmetric version, a connection is made with a `nonentropy' solution of the associated hydrodynamic Burgers equation. This is work with S.R.S. Varadhan (arXiv:2311.0780).
2024年01月30日(火)
日仏数学拠点FJ-LMIセミナー
16:30-17:30 数理科学研究科棟(駒場) 号室
Danielle HILHORST 氏 (CNRS, Université de Paris-Saclay, France)
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile. (英語)
https://fj-lmi.cnrs.fr/seminars/
Danielle HILHORST 氏 (CNRS, Université de Paris-Saclay, France)
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile. (英語)
[ 講演概要 ]
We study a one-dimensional one-phase Stefan problem with a Neumann boundary condition on the fixed part of the boundary.
We construct a unique self-similar solution and show that for a large class of initial data, the solution of the time evolution problem
converges to this self-similar solution as time tends to infinity. Similar results were already obtained by Bouguezzi, Hilhorst,
Miyamoto, and Scheid in the case of Dirichlet data on the fixed boundary. However, they had to show that the space derivative
of the solution uniformly converges to its limit. Here, our proof requires less regularity, which should make our arguments easier
to adapt to different settings.
This is a joint work with Sabrina Roscani and Piotr Rybka.
[ 参考URL ]We study a one-dimensional one-phase Stefan problem with a Neumann boundary condition on the fixed part of the boundary.
We construct a unique self-similar solution and show that for a large class of initial data, the solution of the time evolution problem
converges to this self-similar solution as time tends to infinity. Similar results were already obtained by Bouguezzi, Hilhorst,
Miyamoto, and Scheid in the case of Dirichlet data on the fixed boundary. However, they had to show that the space derivative
of the solution uniformly converges to its limit. Here, our proof requires less regularity, which should make our arguments easier
to adapt to different settings.
This is a joint work with Sabrina Roscani and Piotr Rybka.
https://fj-lmi.cnrs.fr/seminars/
応用解析セミナー
16:30-17:30 数理科学研究科棟(駒場) 002号室
対面（通常と開催曜日・会場が異なりますのでご注意ください）
Danielle Hilhorst 氏 (CNRS / Université de Paris-Saclay)
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile. (English)
対面（通常と開催曜日・会場が異なりますのでご注意ください）
Danielle Hilhorst 氏 (CNRS / Université de Paris-Saclay)
Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile. (English)
[ 講演概要 ]
We study a one-dimensional one-phase Stefan problem with a Neumann boundary condition on the fixed part of the boundary.
We construct a unique self-similar solution and show that for a large class of initial data, the solution of the time evolution problem converges to this self-similar solution as time tends to infinity. Similar results were already obtained by Bouguezzi, Hilhorst, Miyamoto, and Scheid in the case of Dirichlet data on the fixed boundary. However, they had to show that the space derivative of the solution uniformly converges to its limit. Here, our proof requires less regularity, which should make our arguments easier to adapt to different settings.
This is a joint work with Sabrina Roscani and Piotr Rybka.
We study a one-dimensional one-phase Stefan problem with a Neumann boundary condition on the fixed part of the boundary.
We construct a unique self-similar solution and show that for a large class of initial data, the solution of the time evolution problem converges to this self-similar solution as time tends to infinity. Similar results were already obtained by Bouguezzi, Hilhorst, Miyamoto, and Scheid in the case of Dirichlet data on the fixed boundary. However, they had to show that the space derivative of the solution uniformly converges to its limit. Here, our proof requires less regularity, which should make our arguments easier to adapt to different settings.
This is a joint work with Sabrina Roscani and Piotr Rybka.
2024年01月26日(金)
博士論文発表会
9:15-10:30 数理科学研究科棟(駒場) 118号室
山口 樹 氏 (数理科学研究科)
Studies on F-singularities in equal characteristic zero via ultraproducts
（超積を用いた等標数0におけるF-特異点の研究）
山口 樹 氏 (数理科学研究科)
Studies on F-singularities in equal characteristic zero via ultraproducts
（超積を用いた等標数0におけるF-特異点の研究）
博士論文発表会
9:15-10:30 数理科学研究科棟(駒場) 128号室
井上 大輔 氏 (数理科学研究科)
Numerical Methods for Nonlinear Partial Differential Equations Arising from Large-Scale Multi-Agent Control Problems
（大規模マルチエージェント制御問題に現れる非線形偏微分方程式の数値計算）
井上 大輔 氏 (数理科学研究科)
Numerical Methods for Nonlinear Partial Differential Equations Arising from Large-Scale Multi-Agent Control Problems
（大規模マルチエージェント制御問題に現れる非線形偏微分方程式の数値計算）
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 118号室
島田 了輔 氏 (数理科学研究科)
Geometric Structure of Affine Deligne-Lusztig Varieties for GLn
（GLnのアファインDeligne-Lusztig多様体の幾何構造）
島田 了輔 氏 (数理科学研究科)
Geometric Structure of Affine Deligne-Lusztig Varieties for GLn
（GLnのアファインDeligne-Lusztig多様体の幾何構造）
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 128号室
江藤 徳宏 氏 (数理科学研究科)
Numerical Analysis for Geometric Evolution Equations
（幾何学的発展方程式に対する数値解析）
江藤 徳宏 氏 (数理科学研究科)
Numerical Analysis for Geometric Evolution Equations
（幾何学的発展方程式に対する数値解析）
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 126号室
及川 瑞稀 氏 (数理科学研究科)
Equivariant α-induction Frobenius algebras and related constructions of tensor categories
（同変α-誘導フロベニウス代数と関連するテンソル圏の構成）
及川 瑞稀 氏 (数理科学研究科)
Equivariant α-induction Frobenius algebras and related constructions of tensor categories
（同変α-誘導フロベニウス代数と関連するテンソル圏の構成）
博士論文発表会
14:45-16:00 数理科学研究科棟(駒場) 118号室
小泉淳之介 氏 (数理科学研究科)
Study of motives with modulus using Q-divisors
（モジュラス付きモチーフのQ因子を用いた研究）
小泉淳之介 氏 (数理科学研究科)
Study of motives with modulus using Q-divisors
（モジュラス付きモチーフのQ因子を用いた研究）
博士論文発表会
14:45-16:00 数理科学研究科棟(駒場) 122号室
宮澤 仁 氏 (数理科学研究科)
Real Seiberg-Witten theory and its applications to surfaces in 4-manifolds
（実Seiberg-Witten理論とその4次元多様体に埋め込まれた曲面への応用）
宮澤 仁 氏 (数理科学研究科)
Real Seiberg-Witten theory and its applications to surfaces in 4-manifolds
（実Seiberg-Witten理論とその4次元多様体に埋め込まれた曲面への応用）
博士論文発表会
14:45-16:00 数理科学研究科棟(駒場) 126号室
羽柴 康仁 氏 (数理科学研究科)
On the structure of crossed product von Neumann algebras
（接合積von Neumann環の構造について）
羽柴 康仁 氏 (数理科学研究科)
On the structure of crossed product von Neumann algebras
（接合積von Neumann環の構造について）
博士論文発表会
14:45-16:00 数理科学研究科棟(駒場) 128号室
山岸 颯 氏 ( )
Asymptotic expansion of estimators related to diffusion processes driven by fractional Brownian motion
（非整数ブラウン運動によって駆動される拡散過程に関わる推定量の漸近展開）
山岸 颯 氏 ( )
Asymptotic expansion of estimators related to diffusion processes driven by fractional Brownian motion
（非整数ブラウン運動によって駆動される拡散過程に関わる推定量の漸近展開）
2024年01月25日(木)
情報数学セミナー
16:50-18:35 数理科学研究科棟(駒場) 056号室
鈴木 泰成 氏 (NTT)
誤り耐性量子計算機の設計と制御 (Japanese)
鈴木 泰成 氏 (NTT)
誤り耐性量子計算機の設計と制御 (Japanese)
[ 講演概要 ]
高速な量子計算を実現するには、量子誤り訂正符号を用いた誤り耐性量子計算機の実現が重要となる。この講演では符号化された量子情報に対する基本演算や、量子アルゴリズムを基本演算に翻訳する方法について解説する。
(講義は056号室で行われます。）
高速な量子計算を実現するには、量子誤り訂正符号を用いた誤り耐性量子計算機の実現が重要となる。この講演では符号化された量子情報に対する基本演算や、量子アルゴリズムを基本演算に翻訳する方法について解説する。
(講義は056号室で行われます。）
博士論文発表会
9:15-10:30 数理科学研究科棟(駒場) 122号室
高野 暁弘 氏 (数理科学研究科)
Studies on knot theory using braid groups and Thompson’s group
（組み紐群とトンプソン群を用いた結び目理論の研究）
高野 暁弘 氏 (数理科学研究科)
Studies on knot theory using braid groups and Thompson’s group
（組み紐群とトンプソン群を用いた結び目理論の研究）
博士論文発表会
9:15-10:30 数理科学研究科棟(駒場) 128号室
東 康平 氏 (数理科学研究科)
Fuzzy cellular automaton and systems with singular integrals and their applications
（ファジーセルオートマトンおよび特異積分をもつシステムの数理とその応用）
東 康平 氏 (数理科学研究科)
Fuzzy cellular automaton and systems with singular integrals and their applications
（ファジーセルオートマトンおよび特異積分をもつシステムの数理とその応用）
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 118号室
李 公彦 氏 (数理科学研究科)
q-de Rham complexes of higher level
（高レベルq-ド・ラーム複体）
李 公彦 氏 (数理科学研究科)
q-de Rham complexes of higher level
（高レベルq-ド・ラーム複体）
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 122号室
王 格非 氏 (数理科学研究科)
On the Rational Cohomology of Spin Hyperelliptic Mapping Class Groups
（スピン超楕円的写像類群の有理コホモロジーについて）
王 格非 氏 (数理科学研究科)
On the Rational Cohomology of Spin Hyperelliptic Mapping Class Groups
（スピン超楕円的写像類群の有理コホモロジーについて）
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 126号室
渡邊 祐太 氏 (数理科学研究科)
Bogomolov-Sommese vanishing with multiplier ideals and studies on positivity of singular Hermitian metrics on holomorphic vector bundles
（乗数イデアル層を含むBogomolov-Sommese 消滅定理と正則ベクトル束の特異エルミート計量に関する正値性の研究）
渡邊 祐太 氏 (数理科学研究科)
Bogomolov-Sommese vanishing with multiplier ideals and studies on positivity of singular Hermitian metrics on holomorphic vector bundles
（乗数イデアル層を含むBogomolov-Sommese 消滅定理と正則ベクトル束の特異エルミート計量に関する正値性の研究）
博士論文発表会
11:00-12:15 数理科学研究科棟(駒場) 128号室
大橋 遼 氏 (数理科学研究科)
Construction of non-integrable three-state Markov processes with solvable steady states
（可解な定常分布をもつ非可積分3状態マルコフ過程の構成）
大橋 遼 氏 (数理科学研究科)
Construction of non-integrable three-state Markov processes with solvable steady states
（可解な定常分布をもつ非可積分3状態マルコフ過程の構成）
博士論文発表会
13:00-14:15 数理科学研究科棟(駒場) 122号室
PEREZ VALDES VICTOR 氏 (数理科学研究科)
Construction and classification of matrix-valued differential symmetry breaking operators from S3 to S2
（3次元球面から2次元球面への対称性破れの行列値微分作用素の構成と分類について）
PEREZ VALDES VICTOR 氏 (数理科学研究科)
Construction and classification of matrix-valued differential symmetry breaking operators from S3 to S2
（3次元球面から2次元球面への対称性破れの行列値微分作用素の構成と分類について）
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