Seminar information archive

Seminar information archive ~03/28Today's seminar 03/29 | Future seminars 03/30~

Algebraic Geometry Seminar

14:00-15:30   Room #117 (Graduate School of Math. Sci. Bldg.)
Tatsuro Kawakami (Kyoto University)
Endomorphisms of varieties and Bott vanishing (Japanese)
[ Abstract ]
In this talk, we show that a projective variety with an int-amplified endomorphism of degree invertible in the base field satisfies Bott vanishing. This is a new way to analyze which varieties have nontrivial endomorphisms. In particular, we extend some classification results on varieties admitting endomorphisms (for Fano threefolds of Picard number one and several other cases) to any characteristic. This talk is based on joint work with Burt Totaro.

Algebraic Geometry Seminar

12:45-13:45   Room #ハイブリッド開催/117 (Graduate School of Math. Sci. Bldg.)
Sung Rak Choi (Yonsei University )
ACC of plc thresholds (English)
[ Abstract ]
The notion of potential pairs was developed as a means to bound the singularities while running the anti-MMP. They behave similarly with the usual klt, lc pairs.
We introduce potential log canonical threshold and prove that the set of these thresholds also satisfies the ascending chain condition (ACC). We also study the relation with the complements. This is a joint work with Sungwook Jang.

2023/04/20

Information Mathematics Seminar

16:50-18:35   Room #128 (Graduate School of Math. Sci. Bldg.)
Tatsuaki Okamoto (NTT)
The basics of cryptography (Japanese)
[ Abstract ]
Explanation of the basics of cryptography

2023/04/19

Number Theory Seminar

17:00-18:00   Room #117 (Graduate School of Math. Sci. Bldg.)
Nicola Mazzari (University of Padua)
The conjugate uniformization in the semistable case (English)
[ Abstract ]
We will review some recent results by Iovita-Morrow-Zaharescu about p-adic uniformization of abelian varieties with good reduction. Most of it relies on the theory developed by Fontaine especially about almost Cp-representations. These results were recently generalised by Howe-Morrow-Wear, via p-divisible groups.
We will explain how to treat the semistable case with focus on some really basic example, like the Tate elliptic curve.
[ Reference URL ]
https://sites.google.com/site/nclmzzr/

2023/04/18

Operator Algebra Seminars

16:45-18:15   Room #126 (Graduate School of Math. Sci. Bldg.)
Naoki Genra (Univ. Tokyo)
Representation theory of subregular W-algebras and principal W-superalgebras (English)
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

Operator Algebra Seminars

16:45-18:15   Room #126 (Graduate School of Math. Sci. Bldg.)
Naoki Genra (Univ. Tokyo)
Representation theory of subregular W-algebras and principal W-superalgebras
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

Tuesday Seminar on Topology

17:00-18:00   Online
Pre-registration required. See our seminar webpage.
Shuhei Maruyama (Chuo University)
A crossed homomorphism on a big mapping class group (JAPANESE)
[ Abstract ]
Big mapping class groups are mapping class groups of surfaces of infinite type. Calegari and Chen determined the second (co)homology group of the mapping class group of the sphere minus a Cantor set. They also raised related questions: one of the questions asks an explicit form of certain crossed homomorphisms on the big mapping class group. In this talk, we provide a construction of crossed homomorphisms via group actions on the circle, which answers the question of Calegari and Chen.
[ Reference URL ]
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html

2023/04/17

Tokyo Probability Seminar

17:00-18:30   Room #126 (Graduate School of Math. Sci. Bldg.)
清水良輔 (早稲田大学)
Construction of Sobolev spaces and energies on the Sierpinski carpet (Japanese)

2023/04/13

Information Mathematics Seminar

16:50-18:35   Room #128 (Graduate School of Math. Sci. Bldg.)
Tatsuaki Okamoto (NTT)
Certification and signature
------Foundation of cryptography (Japanese)
[ Abstract ]
Explanation on certification and signature.

2023/04/11

Tuesday Seminar on Topology

17:00-18:30   Room #ハイブリッド開催/056 (Graduate School of Math. Sci. Bldg.)
Pre-registration required. See our seminar webpage.
Kazuo Habiro (The Univesity of Tokyo)
On the stable cohomology of the (IA-)automorphism groups of free groups (JAPANESE)
[ Abstract ]
By combining Borel's stability and vanishing theorem for the stable cohomology of GL(n,Z) with coefficients in algebraic GL(n,Z)-representations and the Hochschild-Serre spectral sequence, we compute the twisted first cohomology of the automorphism group Aut(F_n) of the free group F_n of rank n. This method is used also in the study of the stable rational cohomology of the IA-automorphism group IA_n of F_n. We propose a conjectural algebraic structure of the stable rational cohomology of IA_n, and consider some relations to known results and conjectures. We also consider a conjectural structure of the stable rational cohomology of the Torelli groups of surfaces. This is a joint work with Mai Katada.
[ Reference URL ]
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html

2023/04/06

Applied Analysis

16:00-17:30   Room #126 (Graduate School of Math. Sci. Bldg.)
Van Tien Nguyen (National Taiwan University)
Blowup solutions to the Keller-Segel system (English)
[ Abstract ]
I will present constructive examples of finite-time blowup solutions to the Keller-Segel system in $\mathbb{R}^d$. For $d = 2$ ($L^1$-critical), there are finite time blowup solutions that are of Type II with finite mass. Blowup rates are completely quantized according to a discrete spectrum of a linearized operator around the rescaled stationary solution in the self-similar setting. There is a stable blowup mechanism which is expected to be generic among others. For $d \geq 3$ ($L^1$-supercritical), we construct finite time blowup solutions that are completely unrelated to the self-similar scale, in particular, they are of Type II with finite mass. Interestingly, the radial blowup profile is linked to the traveling-wave of the 1D viscous Burgers equation. Our constructed solution actually has the form of collapsing-ring which consists of an imploding, smoothed-out shock wave moving towards the origin to form a Dirac mass at the singularity. I will also discuss other blowup patterns that possibly occur in the cases $d = 2,3,4$.
[ Reference URL ]
https://forms.gle/7ogZKyh1oXKkPbN56

Information Mathematics Seminar

16:50-18:35   Room #128 (Graduate School of Math. Sci. Bldg.)
Tatsuaki Okamoto (NTT)
The role of cryptography (Japanese)
[ Abstract ]
Explanation of the theory of cryptography

2023/03/28

Algebraic Geometry Seminar

10:00-11:30   Room #ハイブリッド開催/056 (Graduate School of Math. Sci. Bldg.)
Paolo Cascini (Imperial College London)
On the canonical bundle formula in positive characteristic (English)
[ Abstract ]
In a previous work in collaboration with F. Ambro, V. Shokurov and C. Spicer, we show that algebraically integrable foliations can be used to study the canonical bundle formula for fibrations which are not necessarily lc trivial.
I will discuss a work in progress by M. Benozzo on a generalisation of these results in positive characteristic.

2023/03/24

Mathematical Biology Seminar

10:00-11:00   Online
Toshiyuki Namba (Osaka Metropolitan University)
Unexpected coexistence and extinction in an intraguild predation system (Japanese)

2023/03/14

Tuesday Seminar of Analysis

16:00-17:30   Room #126 (Graduate School of Math. Sci. Bldg.)
Piermarco Cannarsa (University of Rome "Tor Vergata")
Parameter reconstruction for degenerate parabolic equations (English)
[ Abstract ]
First, we study degenerate parabolic equations arising in climate dynamics, providing uniqueness and stability estimates for the determination of the insolation function. Then, we address several aspects of the reconstruction of the degenerate diffusion coefficient. Finally, we discuss systems of two equations including a vertical component into the model.
[ Reference URL ]
https://forms.gle/nejpQS824vFKRbMQ6

2023/03/13

Colloquium

13:00-17:00   Hybrid
Registration for online participation: [Reference URL], Application for onsite participation: https://forms.gle/2eDKDtNsTounyoXw6 (Update: Mar. 5)
Masahiko Kanai ( Graduate School of Mathematical Sciences, the University of Tokyo) 13:00-14:00
(JAPANESE)
[ Reference URL ]
https://u-tokyo-ac-jp.zoom.us/meeting/register/tZElcO2oqTgoG9a1JSawX0kFRMSFheEptcaA
Hisashi Inaba (Graduate School of Mathematical Sciences, the University of Tokyo) 14:30-15:30
(JAPANESE)
[ Reference URL ]
https://u-tokyo-ac-jp.zoom.us/meeting/register/tZIkceigrj4tEt0AydbnE8PVJmIS6xLanDAe
Shuji Saito ( Graduate School of Mathematical Sciences, the University of Tokyo) 16:00-17:00
From higher dimensional class field theory to a new theory of motives (ENGLISH)
[ Abstract ]
My first research was on Higher Dimensional Class Theory done in collaboration with Kazuya Kato. That was 40 years ago. The classical class field theory is a theory that controls the Galois group of the maximal abelian extension of a number field (a finite extension of the field of rational numbers) using only information intrinsic to the field (e.g., its ideal class group). Higher dimensional class field theory is an extension of this theory to the case of finitely generated fields over the field of rational numbers or a finite field. It is formulated as an arithmetic algebro-geometric problem using scheme theory.

In this talk, I will start with a review of the classical class field theory that can be understood by undergraduates and explain how higher dimensional class field theory is formulated in a way that is easy to understand even for non-specialists. I will also briefly explain an improvement of Kato-Saito's higher-dimensional class field theory that I made with Moritz Kerz in 2016, and how it triggered a recent new development of theory of motive. In particular, I will discuss the relationship between the new theory and ramification theory (of which Takeshi Saito is a world leader), which until now has had no interaction with theory of motives.
[ Reference URL ]
https://u-tokyo-ac-jp.zoom.us/meeting/register/tZAqf-ioqz8jG9BWefiIf_zTJ1t7R7VG1beV

2023/03/10

Algebraic Geometry Seminar

13:15-14:45   Room #ハイブリッド開催/123 (Graduate School of Math. Sci. Bldg.)
Paolo Cascini (Imperical College London)
On existence of flips for algebraically integrable foliations. (English)
[ Abstract ]
Assuming termination of (classical) flips in dimension r, we show that flips exist for any algebraically integrable foliation of rank r with log canonical singularities. Joint work with C. Spicer.

2023/03/08

Operator Algebra Seminars

16:45-18:15   Room #128 (Graduate School of Math. Sci. Bldg.)
Ricardo Correa da Silva (Friedrich-Alexander-Universität Erlangen-Nürnberg)
Structure and Inclusions of Twisted Araki-Woods Algebras (English)
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

Seminar on Probability and Statistics

14:00-   Room # (Graduate School of Math. Sci. Bldg.)
Evgeny Spodarev ( Ulm University, Germany)
Non-ergodic statistics for hamonizable stable processes (English)
[ Abstract ]
We consider stationary real harmonizable symmetric α-stable processes X={X(t):t∈ℝ} with a finite control measure. Assuming the control measure is symmetric and absolutely continuous with respect to the Lebesgue measure on the real line, we refer to its density function as the spectral density of X. Standard methods for statistical inference on stable processes cannot be applied as harmonizable stable processes are non-ergodic.
A stationary real harmonizable symmetric α-stable process X admits a LePage series representation and is conditionally Gaussian which allows us to derive the non-ergodic limit of sample functions on X. In particular, we give an explicit expression for the non-ergodic limits of the empirical characteristic function of X and the lag process {X(t+h)−X(t):t∈ℝ} with h>0, respectively.
The process admits an equivalent representation as a series of sinusoidal waves with random frequencies whose probability density function is in fact the (normalized) spectral density of X. Using the strongly consistent frequency estimation via periodograms we present a strongly consistent estimator of the spectral density which is based only on one sampled path of X. The periodogram computation is fast and efficient, and our method is not affected by the non-ergodicity of X. Most notably no prior knowledge on parameters of the process such as its index of stability α is needed.

References:
[1] L.V. Hoang, E. Spodarev, "Inversion of alpha-sine and alpha-cosine transforms on R", Inverse Problems 37 (2021), 085008
[2] L.V. Hoang, E. Spodarev, "Non-ergodic statistics and spectral density estimation for stationary real harmonizable symmetric α-stable processes", Preprint arXiv:2209.04315, submitted, 2022.
[ Reference URL ]
https://docs.google.com/forms/d/e/1FAIpQLSet6w12XsqdCGQ8yEe4sOqRlCOhhrJXeKl5H7lMaRy4LZhmqQ/viewform

2023/02/22

Applied Analysis

16:00-17:30   Room #126 (Graduate School of Math. Sci. Bldg.)
Alessio Porretta (University of Rome Tor Vergata)
Long time decay of Fokker-Planck equations with confining drift (ENGLISH)
[ Abstract ]
The convergence to equilibrium of Fokker-Planck equations with confining drift is a classical issue, starting with the basic model of the Ornstein-Uhlenbeck process. I will discuss a new approach to obtain estimates on the time decay rate, which applies to both local and nonlocal diffusions. This is based on duality arguments and oscillation estimates for transport-diffusion equations, which are reminiscent of coupling methods used in probabilistic approaches.
[ Reference URL ]
https://forms.gle/SCyZWtfC5bNGadxE8

2023/02/20

Algebraic Geometry Seminar

10:00-11:30   Room #056 (Graduate School of Math. Sci. Bldg.)
The 4th lecture of series talks
Chenyang Xu (Princeton University)
K-stability of Fano varieties. (English)
[ Abstract ]
The notion of K-stability of Fano varieties was first introduced to characterize the existence of Kahler-Einstein metric. Recently, a purely algebro-geometric theory has been developed and it has yielded many striking results, such as the solution of the Yau-Tian-Donaldson Conjecture for all Fano varieties, as well as the construction of a projective moduli scheme, called K-moduli, parametrizing K-polystable Fano varieties.

In this lecture series, I will survey the recent progress. The first two lectures will be devoted to explain the evolution of algebraic geometer’s understanding of various aspects of the notion of K-stability. The Lecture 3 and 4 will be devoted to discuss the construction of the K-moduli space.

2023/02/17

Algebraic Geometry Seminar

10:00-11:30   Room #123 (Graduate School of Math. Sci. Bldg.)
The 3rd lecture of series talks
Chenyang Xu (Princeton University)
K-stability of Fano varieties. ( English)
[ Abstract ]
The notion of K-stability of Fano varieties was first introduced to characterize the existence of Kahler-Einstein metric. Recently, a purely algebro-geometric theory has been developed and it has yielded many striking results, such as the solution of the Yau-Tian-Donaldson Conjecture for all Fano varieties, as well as the construction of a projective moduli scheme, called K-moduli, parametrizing K-polystable Fano varieties.

In this lecture series, I will survey the recent progress. The first two lectures will be devoted to explain the evolution of algebraic geometer’s understanding of various aspects of the notion of K-stability. The Lecture 3 and 4 will be devoted to discuss the construction of the K-moduli space.

2023/02/13

Seminar on Geometric Complex Analysis

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Junjiro Noguchi (The University of Tokyo)
On a presentation to introduce function theory of several variables (Japanese)
[ Abstract ]
微積分は,主に1変数の理論を講義するが,後半で多変数の内容を入れる.同じ様に,複素解析(函数論)でも,一変数の後につなぎよく,多変数の講義を段差なく行えるようにしたい.
モデルケースとして'リーマンの写像定理'がある.現在多くの教科書に書かれているモンテルの定理による初等的な証明(1922, Fejér--Riesz)まで,もとのリーマンの学位論文(1851)から約70年の歳月がかかている.
岡理論・多変数関数論基礎についてみると,Oka IX (1953)より本年でやはり70年たつが,あまり'初等化'の方面へは進展していないように思う.こここでは,学部の複素解析のコースで'リーマンの写像定理'の後に,段差無く完全証明付きで岡理論・多変数関数論基礎を講義する展開を考える.
初等化には,岡のオリジナル法(1943未発表, IX 1953)を第1連接定理に基づき展開するのが適当であることを紹介したい.学部講義の数学内容に日本人による成果が入ることで,学生のモチベーションに好効果を与えるであろうことも期待したい.
時間が許せば,擬凸問題解決の岡のオリジナル法と別証明とされるGrauertの証明との間のFredholm定理をめぐる類似性についても述べたい.
[ Reference URL ]
https://forms.gle/hYT2hVhDE3q1wDSh6

2023/02/10

Tokyo-Nagoya Algebra Seminar

17:00-18:30   Online
Please see the reference URL for details on the online seminar.
Wahei Hara (University of Glasgow)
Silting discrete代数上のsemibrick複体とspherical objects (Japanese)
[ Reference URL ]
http://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html

2023/02/09

Lectures

15:00-16:30   Room #122 (Graduate School of Math. Sci. Bldg.)
Stefano Olla (Dauphine大学)
Diffusive behavior in completely integrable infinite dynamics (English)
[ Abstract ]
We investigate the macroscopic behaviour of the density fluctuations of a one dimensional dynamics of hard rods with random length. After recentering on the effective velocity the density fluctuations of particles of a given velocity v will evolve on the diffusive scaling driven by a brownian motion with a diffusivity depending on v. This rigid evolution of fluctuations is expected in other completely integrable systems (Box-Ball, Toda Lattice,..), in contrast with the behavior in chaotic dynamics.
Joint work with Pablo Ferrari (U. Buenos Aires).

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