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Seminar information archive
Seminar information archive ～05/21｜Today's seminar 05/22 | Future seminars 05/23～
2025/03/21
Lie Groups and Representation Theory
17:00-18:00 Room #online (Graduate School of Math. Sci. Bldg.)
Wentao Teng (The University of Tokyo)
A positive product formula of integral kernels of $k$-Hankel transforms (English)
Wentao Teng (The University of Tokyo)
A positive product formula of integral kernels of $k$-Hankel transforms (English)
[ Abstract ]
Let $R$ be a root system in $\mathbb R^N$ and $G$ be the finite subgroup generated by the reflections associated to the root system.
We establish a positive radial product formula for the integral kernels $B_{k,1}(x,y)$ of $(k,1)$-generalized Fourier transforms (or the $k$-Hankel transforms) $F_{k,1}$
$$B_{k,1}(x,z)j_{2\left\langle k\right\rangle+N-2}\left(2\sqrt{t\left|z\right|}\right)=\int_{\mathbb R^N} B_{k,1}(\xi,z)\,d\sigma_{x,t}^{k,1}(\xi),$$
where $j_{\lambda}$ is the normalized Bessel function, and $\sigma_{x,t}^{k,1}(\xi)$ is the unique probability measure. Such a product formula is equivalent to the following representation of the generalized spherical mean operator $f\mapsto M_f,\;f\in C_b(\mathbb{R}^N)$ in $(k,1)$-generalized Fourier analysis
\begin{align*} M_f(x,t)=\int_{\mathbb{R}^N}f\,d\sigma_{x,t}^{k,1},\;(x,t)\in\mathbb{R}^N\times{\mathbb{R}}_+.\end{align*}
We will then analyze the representing measure $\sigma_{x,t}^{k,1}(\xi)$ and show that the support of the measure is contained in
$$\left\{\xi\in\mathbb{R}^N:\sqrt{\vert\xi\vert}\geq\vert\sqrt{\vert x\vert}-\sqrt t\vert\right\}\cap\left(\bigcup_{g\in G}\{\xi\in\mathbb{R}^N:d(\xi,gx)\leq\sqrt t\}\right),$$
where $d\left(x,y\right)=\sqrt{\left|x\right|+\left|y\right|-\sqrt{2\left(\left|x\right|\left|y\right|+\left\langle x,y\right\rangle\right)}}$.
Based on the support of the representing measure $\sigma_{x,t}^{k,1}$, we will get a weak Huygens's principle for the deformed wave equation in $(k,1)$-generalized Fourier analysis.
Moreover, for $N\geq 2$, if we assume that $F_{k,1}\left(\mathcal S(\mathbb{R}^N)\right)$ consists of rapidly decreasing functions at infinity, then we get two different results on $\text{supp}\sigma_{x,t}^{k,1}$, which indirectly denies such assumption.
Let $R$ be a root system in $\mathbb R^N$ and $G$ be the finite subgroup generated by the reflections associated to the root system.
We establish a positive radial product formula for the integral kernels $B_{k,1}(x,y)$ of $(k,1)$-generalized Fourier transforms (or the $k$-Hankel transforms) $F_{k,1}$
$$B_{k,1}(x,z)j_{2\left\langle k\right\rangle+N-2}\left(2\sqrt{t\left|z\right|}\right)=\int_{\mathbb R^N} B_{k,1}(\xi,z)\,d\sigma_{x,t}^{k,1}(\xi),$$
where $j_{\lambda}$ is the normalized Bessel function, and $\sigma_{x,t}^{k,1}(\xi)$ is the unique probability measure. Such a product formula is equivalent to the following representation of the generalized spherical mean operator $f\mapsto M_f,\;f\in C_b(\mathbb{R}^N)$ in $(k,1)$-generalized Fourier analysis
\begin{align*} M_f(x,t)=\int_{\mathbb{R}^N}f\,d\sigma_{x,t}^{k,1},\;(x,t)\in\mathbb{R}^N\times{\mathbb{R}}_+.\end{align*}
We will then analyze the representing measure $\sigma_{x,t}^{k,1}(\xi)$ and show that the support of the measure is contained in
$$\left\{\xi\in\mathbb{R}^N:\sqrt{\vert\xi\vert}\geq\vert\sqrt{\vert x\vert}-\sqrt t\vert\right\}\cap\left(\bigcup_{g\in G}\{\xi\in\mathbb{R}^N:d(\xi,gx)\leq\sqrt t\}\right),$$
where $d\left(x,y\right)=\sqrt{\left|x\right|+\left|y\right|-\sqrt{2\left(\left|x\right|\left|y\right|+\left\langle x,y\right\rangle\right)}}$.
Based on the support of the representing measure $\sigma_{x,t}^{k,1}$, we will get a weak Huygens's principle for the deformed wave equation in $(k,1)$-generalized Fourier analysis.
Moreover, for $N\geq 2$, if we assume that $F_{k,1}\left(\mathcal S(\mathbb{R}^N)\right)$ consists of rapidly decreasing functions at infinity, then we get two different results on $\text{supp}\sigma_{x,t}^{k,1}$, which indirectly denies such assumption.
2025/03/20
Lectures
13:00-14:30 Room #123 (Graduate School of Math. Sci. Bldg.)
Pre-registration is necessary to participate.
Mayuko Yamashita (Kyoto University)
場の理論と代数トポロジー その可能性の中心 --- カナダ出発に際しての置き土産
[ Reference URL ]
https://docs.google.com/forms/d/e/1FAIpQLSdFXVfYg9D7OgoUymOqhCiUJoGxk4x-bqyB1_odjH0QQBdfWw/viewform?usp=dialog
Pre-registration is necessary to participate.
Mayuko Yamashita (Kyoto University)
場の理論と代数トポロジー その可能性の中心 --- カナダ出発に際しての置き土産
[ Reference URL ]
https://docs.google.com/forms/d/e/1FAIpQLSdFXVfYg9D7OgoUymOqhCiUJoGxk4x-bqyB1_odjH0QQBdfWw/viewform?usp=dialog
2025/03/17
Operator Algebra Seminars
16:45-18:15 Room #126 (Graduate School of Math. Sci. Bldg.)
The day of the week and the room are different from the usual ones.
Ingo Runkel (Univ. Hamburg)
Lattice models and topological symmetries from 2d conformal field theory
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
The day of the week and the room are different from the usual ones.
Ingo Runkel (Univ. Hamburg)
Lattice models and topological symmetries from 2d conformal field theory
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
Tokyo-Nagoya Algebra Seminar
14:30-16:00 Online
Junyang Liu (University of Science and Technology of China)
On Amiot's conjecture (English)
https://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html
Junyang Liu (University of Science and Technology of China)
On Amiot's conjecture (English)
[ Abstract ]
In 2010, Claire Amiot conjectured that algebraic 2-Calabi-Yau categories with cluster-tilting object must come from quivers with potential. This would extend a structure theorem obtained by Keller-Reiten in the case where the endomorphism algebra of the cluster-tilting object is hereditary. Many other classes of examples are also known. We will report on the proof of the conjecture in the general case for categories with *algebraic* 2-Calabi-Yau structure. This result has been obtained in joint work with Bernhard Keller and is based on Van den Bergh's structure theorem for complete Calabi-Yau algebras. We also generalize his structure theorem to the relative case and use it to prove a relative variant of the conjecture.
ミーティング ID: 853 1951 5047
パスコード: 900788
[ Reference URL ]In 2010, Claire Amiot conjectured that algebraic 2-Calabi-Yau categories with cluster-tilting object must come from quivers with potential. This would extend a structure theorem obtained by Keller-Reiten in the case where the endomorphism algebra of the cluster-tilting object is hereditary. Many other classes of examples are also known. We will report on the proof of the conjecture in the general case for categories with *algebraic* 2-Calabi-Yau structure. This result has been obtained in joint work with Bernhard Keller and is based on Van den Bergh's structure theorem for complete Calabi-Yau algebras. We also generalize his structure theorem to the relative case and use it to prove a relative variant of the conjecture.
ミーティング ID: 853 1951 5047
パスコード: 900788
https://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html
2025/02/21
Operator Algebra Seminars
13:30-15:00 Room #002 (Graduate School of Math. Sci. Bldg.)
The day of the week, the time slot and the room are different from the usual ones.
David O'Connell (OIST)
Colimits of $C^*$-algebras in Quantum Field Theory
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
The day of the week, the time slot and the room are different from the usual ones.
David O'Connell (OIST)
Colimits of $C^*$-algebras in Quantum Field Theory
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
2025/02/20
Operator Algebra Seminars
16:45-18:15 Room #122 (Graduate School of Math. Sci. Bldg.)
The day of the week is different from the usual one.
Christoph Schweigert (Univ. Hamburg)
Nakayama functors, relative Serre functors and some applications
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
The day of the week is different from the usual one.
Christoph Schweigert (Univ. Hamburg)
Nakayama functors, relative Serre functors and some applications
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
Discrete mathematical modelling seminar
16:00-17:30 Room #126 (Graduate School of Math. Sci. Bldg.)
Andy Hone (University of Kent)
Integrable maps associated with Stieltjes fractions and the Volterra lattice
Andy Hone (University of Kent)
Integrable maps associated with Stieltjes fractions and the Volterra lattice
[ Abstract ]
Quite recently, a classification of birational maps in 4D that have a Lagrangian structure and are Liouville integrable was derived by Gubbiotti, building on earlier results obtained with Joshi, Tran and Viallet. Here we show that the first member in this family naturally arises from the Stieltjes continued fraction expansion of a meromorphic function on a genus 2 curve, and is associated with special solutions of the Volterra lattice hierarchy. This construction extends to hyperelliptic curves of all genera, producing a family of Poisson maps on an affine space of Lax matrices, with explicit Hankel determinant expressions for the tau functions. In particular, in the genus 1 case one finds elliptic solutions of the Volterra lattice, obtained from a QRT map whose tau functions satisfy the Somos-5 relation. We also observe that the other 4D maps in Gubbiotti's classification correspond to genus 2 solutions of two distinct forms of the modified Voltera lattice. If time permits, we will also mention the connection with families of orthogonal polynomials. This is joint work with John Roberts, Pol Vanhaecke and Federico Zullo.
Quite recently, a classification of birational maps in 4D that have a Lagrangian structure and are Liouville integrable was derived by Gubbiotti, building on earlier results obtained with Joshi, Tran and Viallet. Here we show that the first member in this family naturally arises from the Stieltjes continued fraction expansion of a meromorphic function on a genus 2 curve, and is associated with special solutions of the Volterra lattice hierarchy. This construction extends to hyperelliptic curves of all genera, producing a family of Poisson maps on an affine space of Lax matrices, with explicit Hankel determinant expressions for the tau functions. In particular, in the genus 1 case one finds elliptic solutions of the Volterra lattice, obtained from a QRT map whose tau functions satisfy the Somos-5 relation. We also observe that the other 4D maps in Gubbiotti's classification correspond to genus 2 solutions of two distinct forms of the modified Voltera lattice. If time permits, we will also mention the connection with families of orthogonal polynomials. This is joint work with John Roberts, Pol Vanhaecke and Federico Zullo.
Seminar on Probability and Statistics
13:00-14:10 Room #056 (Graduate School of Math. Sci. Bldg.)
Evgeny Spodarev (Universität Ulm)
Non-ergodic statistics for stationary-increment harmonizable stable processes (English)
https://docs.google.com/forms/d/e/1FAIpQLSd5_4NM3xazVUAARMhyv_e55RsYZFyfpOHqC0oGYasM2NLOqQ/viewform
Evgeny Spodarev (Universität Ulm)
Non-ergodic statistics for stationary-increment harmonizable stable processes (English)
[ Abstract ]
We consider the class of stationary-increment harmonizable stable processes $𝑋=\{ 𝑋(𝑡): 𝑡\in \mathbb{R} \}$ defined by $$𝑋(𝑡)=𝑅𝑒\left( \int_{\mathbb{R}} (𝑒^{𝑖𝑡𝑥}−1) \Psi (𝑥) 𝑀_{\alpha}(𝑑𝑥) \right), \quad 𝑡\in\mathbb{R},$$ where $𝑀_{\alpha}$ is an isotropic complex symmetric $\alpha$-stable (𝑆$\alpha$𝑆) random measure with Lebesgue control measure. This class contains real harmonizable fractional stable motions, which are a generalization of the harmonizable representation of fractional Brownian motions to the stable regime, when $\Psi(𝑥)=|𝑥|−𝐻−1/\alpha, 𝑥\in\mathbb{R}$. We give conditions for the integrability of the path of $𝑋$ with respect to a finite, absolutely continuous measure, and show that the convolution with a suitable measure yields a real stationary harmonizable 𝑆$\alpha$𝑆 process with finite control measure. Such a process admits a LePage type series representation consisting of sine and cosine functions with random amplitudes and frequencies, which can be estimated consistently using the periodogram. Combined with kernel density estimation, this allows us to construct consistent estimators for the index of stability $\alpha$ as well as the kernel function $\Psi$ in the integral representation of $𝑋$ (up to a constant factor). For real harmonizable fractional stable motions consistent estimators for the index of stability $\alpha$ and its Hurst parameter $𝐻$ are given, which are computed directly from the periodogram frequency estimates.
[ Reference URL ]We consider the class of stationary-increment harmonizable stable processes $𝑋=\{ 𝑋(𝑡): 𝑡\in \mathbb{R} \}$ defined by $$𝑋(𝑡)=𝑅𝑒\left( \int_{\mathbb{R}} (𝑒^{𝑖𝑡𝑥}−1) \Psi (𝑥) 𝑀_{\alpha}(𝑑𝑥) \right), \quad 𝑡\in\mathbb{R},$$ where $𝑀_{\alpha}$ is an isotropic complex symmetric $\alpha$-stable (𝑆$\alpha$𝑆) random measure with Lebesgue control measure. This class contains real harmonizable fractional stable motions, which are a generalization of the harmonizable representation of fractional Brownian motions to the stable regime, when $\Psi(𝑥)=|𝑥|−𝐻−1/\alpha, 𝑥\in\mathbb{R}$. We give conditions for the integrability of the path of $𝑋$ with respect to a finite, absolutely continuous measure, and show that the convolution with a suitable measure yields a real stationary harmonizable 𝑆$\alpha$𝑆 process with finite control measure. Such a process admits a LePage type series representation consisting of sine and cosine functions with random amplitudes and frequencies, which can be estimated consistently using the periodogram. Combined with kernel density estimation, this allows us to construct consistent estimators for the index of stability $\alpha$ as well as the kernel function $\Psi$ in the integral representation of $𝑋$ (up to a constant factor). For real harmonizable fractional stable motions consistent estimators for the index of stability $\alpha$ and its Hurst parameter $𝐻$ are given, which are computed directly from the periodogram frequency estimates.
https://docs.google.com/forms/d/e/1FAIpQLSd5_4NM3xazVUAARMhyv_e55RsYZFyfpOHqC0oGYasM2NLOqQ/viewform
2025/02/13
Infinite Analysis Seminar Tokyo
13:30-17:00 Room #118, hybrid seminar (Graduate School of Math. Sci. Bldg.)
Genki Shibukawa (Kobe University) 13:30-15:00
Basics and developments of the $\mu$-function (First part) (日本語)
Basics and developments of the $\mu$-function (Second part) (日本語)
Genki Shibukawa (Kobe University) 13:30-15:00
Basics and developments of the $\mu$-function (First part) (日本語)
[ Abstract ]
First part (speaker: Genki Shibukawa) Starting from a short introduction to the original Zwegers' $\mu$ function, we explain some basic tools of $q$-special functions ( $q$-hypergeometric functions) and $q$-analysis ($q$-difference equations, $q$-Borel and $q$-Laplace transformations) which are necessary to give a special function theoretic interpretation of the $\mu $-function. In these settings, we introduce the generalized $\mu $-function which is a one-parameter deformation of the Zwegers' $\mu $-function, and derive its basic properties such as symmetry, explicit formulas, difference relations, and connection formulas. In particular, we explain the relationship between the generalized $\mu $-function and $q$-Hermite polynomial (function).
Satoshi Tsuchimi (Kobe University) 15:30-17:00First part (speaker: Genki Shibukawa) Starting from a short introduction to the original Zwegers' $\mu$ function, we explain some basic tools of $q$-special functions ( $q$-hypergeometric functions) and $q$-analysis ($q$-difference equations, $q$-Borel and $q$-Laplace transformations) which are necessary to give a special function theoretic interpretation of the $\mu $-function. In these settings, we introduce the generalized $\mu $-function which is a one-parameter deformation of the Zwegers' $\mu $-function, and derive its basic properties such as symmetry, explicit formulas, difference relations, and connection formulas. In particular, we explain the relationship between the generalized $\mu $-function and $q$-Hermite polynomial (function).
Basics and developments of the $\mu$-function (Second part) (日本語)
[ Abstract ]
Second part (speaker: Satoshi Tsuchimi)
In this part, we present some advanced topics of the $\mu$ function. First, we show that the $\mu$-functions naturally appear in special solutions of factorized higher-order $q$-difference equations. Next, by applying the above $q$-analytic methods, we introduce a multivariate analogue of the generalized $\mu$-function and give some formulas. Finally, by similar methods, we construct another generalization of the $\mu$-function from the Kontsevich function which is an important function in knot invariants. This generalization of the $\mu$-function is related to the big $q$-Hermite polynomial (function) which is a 1 parameter deform of the $q$-Hermite polynomial.
Second part (speaker: Satoshi Tsuchimi)
In this part, we present some advanced topics of the $\mu$ function. First, we show that the $\mu$-functions naturally appear in special solutions of factorized higher-order $q$-difference equations. Next, by applying the above $q$-analytic methods, we introduce a multivariate analogue of the generalized $\mu$-function and give some formulas. Finally, by similar methods, we construct another generalization of the $\mu$-function from the Kontsevich function which is an important function in knot invariants. This generalization of the $\mu$-function is related to the big $q$-Hermite polynomial (function) which is a 1 parameter deform of the $q$-Hermite polynomial.
2025/02/07
Seminar on Probability and Statistics
14:00-15:10 Room #128 (Graduate School of Math. Sci. Bldg.)
ハイブリッド開催
Juho Leppänen (Tokai University)
A multivariate Berry–Esseen theorem for deterministic dynamical systems (English)
https://u-tokyo-ac-jp.zoom.us/meeting/register/lmbyLgO6RNi1GnoovqW_Sg
ハイブリッド開催
Juho Leppänen (Tokai University)
A multivariate Berry–Esseen theorem for deterministic dynamical systems (English)
[ Abstract ]
Many chaotic deterministic dynamical systems with a random initial state satisfy limit theorems similar to those of independent random variables. A classical example is the Central Limit Theorem, which, for a broad class of ergodic measure-preserving systems, is known to follow from a sufficiently rapid decay of correlations. Much work has also been done on the rate of convergence in the CLT. Results in this area typically rely on additional structure, such as suitable martingale approximation schemes or a spectral gap for the Perron–Frobenius operator.
In this talk, we present an adaptation of Stein's method for multivariate normal approximation of deterministic dynamical systems. For vector-valued processes generated by a class of fibred systems with good distortion properties (Gibbs–Markov maps), we derive bounds on the convex distance between the distribution of scaled partial sums and a multivariate normal distribution. These bounds, which are deduced as a consequence of certain correlation decay criteria, involve a multiplicative constant whose dependence on the dimension and dynamical quantities is explicit.
[ Reference URL ]Many chaotic deterministic dynamical systems with a random initial state satisfy limit theorems similar to those of independent random variables. A classical example is the Central Limit Theorem, which, for a broad class of ergodic measure-preserving systems, is known to follow from a sufficiently rapid decay of correlations. Much work has also been done on the rate of convergence in the CLT. Results in this area typically rely on additional structure, such as suitable martingale approximation schemes or a spectral gap for the Perron–Frobenius operator.
In this talk, we present an adaptation of Stein's method for multivariate normal approximation of deterministic dynamical systems. For vector-valued processes generated by a class of fibred systems with good distortion properties (Gibbs–Markov maps), we derive bounds on the convex distance between the distribution of scaled partial sums and a multivariate normal distribution. These bounds, which are deduced as a consequence of certain correlation decay criteria, involve a multiplicative constant whose dependence on the dimension and dynamical quantities is explicit.
https://u-tokyo-ac-jp.zoom.us/meeting/register/lmbyLgO6RNi1GnoovqW_Sg
2025/02/06
Tokyo Probability Seminar
16:00-17:30 Room #126 (Graduate School of Math. Sci. Bldg.)
We are having teatime from 15:15 in the common room on the second floor. Please join us.
Jacek Wesolowski (Warsaw University of Technology)
Asymptotics of random Motzkin paths
We are having teatime from 15:15 in the common room on the second floor. Please join us.
Jacek Wesolowski (Warsaw University of Technology)
Asymptotics of random Motzkin paths
[ Abstract ]
We study Motzkin paths of length L with general weights on the edges and end points. We investigate the limit behavior of the initial and final segments of the random Motzkin path viewed as a pair of processes starting from each of the two end points as L becomes large. Macroscopic limits of the resulting processes (under two different asymptotic regimes) appear to be non-Brownian parts of stationary measures for the KPZ equation and hypothetical KPZ fixed point on the half-line. The talk is based on a joint paper with W. Bryc (Univ. of Cincinnati) and A. Kuztetsov (York Univ., Toronto) - to appear in IMRN, available also on arXiv: https://arxiv.org/abs/2402.00265
We study Motzkin paths of length L with general weights on the edges and end points. We investigate the limit behavior of the initial and final segments of the random Motzkin path viewed as a pair of processes starting from each of the two end points as L becomes large. Macroscopic limits of the resulting processes (under two different asymptotic regimes) appear to be non-Brownian parts of stationary measures for the KPZ equation and hypothetical KPZ fixed point on the half-line. The talk is based on a joint paper with W. Bryc (Univ. of Cincinnati) and A. Kuztetsov (York Univ., Toronto) - to appear in IMRN, available also on arXiv: https://arxiv.org/abs/2402.00265
2025/01/24
thesis presentations
11:00-12:15 Room #118 (Graduate School of Math. Sci. Bldg.)
MAO Tianle (Graduate School of Mathematical Sciences University of Tokyo)
Stability conditions on the canonical line bundle of P^3
(射影空間P^3の標準束の安定性条件）
MAO Tianle (Graduate School of Mathematical Sciences University of Tokyo)
Stability conditions on the canonical line bundle of P^3
(射影空間P^3の標準束の安定性条件）
thesis presentations
13:00-14:15 Room #118 (Graduate School of Math. Sci. Bldg.)
ITO Kei (Graduate School of Mathematical Sciences University of Tokyo)
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）
ITO Kei (Graduate School of Mathematical Sciences University of Tokyo)
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）
thesis presentations
14:45-16:00 Room #118 (Graduate School of Math. Sci. Bldg.)
YOSHINO Taro (Graduate School of Mathematical Sciences University of Tokyo)
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)
YOSHINO Taro (Graduate School of Mathematical Sciences University of Tokyo)
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)
thesis presentations
11:00-12:15 Room #122 (Graduate School of Math. Sci. Bldg.)
KOSUGE Ryotaro (Graduate School of Mathematical Sciences University of Tokyo)
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）
KOSUGE Ryotaro (Graduate School of Mathematical Sciences University of Tokyo)
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）
thesis presentations
13:00-14:15 Room #122 (Graduate School of Math. Sci. Bldg.)
ZOU Yongpan (Graduate School of Mathematical Sciences University of Tokyo)
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）
ZOU Yongpan (Graduate School of Mathematical Sciences University of Tokyo)
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）
thesis presentations
11:00-12:15 Room #126 (Graduate School of Math. Sci. Bldg.)
BABA Tomoya (Graduate School of Mathematical Sciences University of Tokyo)
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）
BABA Tomoya (Graduate School of Mathematical Sciences University of Tokyo)
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）
thesis presentations
13:00-14:15 Room #126 (Graduate School of Math. Sci. Bldg.)
KURISAKI Masahiro (Graduate School of Mathematical Sciences University of Tokyo)
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)
KURISAKI Masahiro (Graduate School of Mathematical Sciences University of Tokyo)
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)
thesis presentations
14:45-16:00 Room #126 (Graduate School of Math. Sci. Bldg.)
SAKUMA Masaki (Graduate School of Mathematical Sciences University of Tokyo)
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)
SAKUMA Masaki (Graduate School of Mathematical Sciences University of Tokyo)
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)
thesis presentations
11:00-12:15 Room #128 (Graduate School of Math. Sci. Bldg.)
SAITO Yuta (Graduate School of Mathematical Sciences University of Tokyo)
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）
SAITO Yuta (Graduate School of Mathematical Sciences University of Tokyo)
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）
thesis presentations
13:00-14:15 Room #128 (Graduate School of Math. Sci. Bldg.)
BANDO Katsuyuki (Graduate School of Mathematical Sciences University of Tokyo)
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）
BANDO Katsuyuki (Graduate School of Mathematical Sciences University of Tokyo)
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）
thesis presentations
14:45-16:00 Room #128 (Graduate School of Math. Sci. Bldg.)
WANG PEIDUO (Graduate School of Mathematical Sciences University of Tokyo)
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）
WANG PEIDUO (Graduate School of Mathematical Sciences University of Tokyo)
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）
2025/01/23
thesis presentations
13:00-14:15 Room #118 (Graduate School of Math. Sci. Bldg.)
MATSUDA Koji (Graduate School of Mathematical Sciences University of Tokyo)
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)
MATSUDA Koji (Graduate School of Mathematical Sciences University of Tokyo)
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)
thesis presentations
14:45-16:00 Room #118 (Graduate School of Math. Sci. Bldg.)
SASAKI Yuya (Graduate School of Mathematical Sciences University of Tokyo)
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)
SASAKI Yuya (Graduate School of Mathematical Sciences University of Tokyo)
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)
thesis presentations
13:00-14:15 Room #122 (Graduate School of Math. Sci. Bldg.)
NATORI Masaki (Graduate School of Mathematical Sciences University of Tokyo)
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)
NATORI Masaki (Graduate School of Mathematical Sciences University of Tokyo)
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)
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