## シンポジウム・ワークショップ

### International workshop on Geometry of Foliated Spaces

2019.10.24 Thu up
 日時： ２０１９年１１月２９日（金）１３：３０～１２月１日（日）１２：００ 会場： 立命館大学 びわこ・くさつキャンパス ウェストウィング6階 談話会室 キャンパスへのアクセス キャンパスマップ キャンパスマップ（pdfファイル） 住所： 滋賀県草津市野路東１－１－１

プログラム

１１月２９日（金）
13:30-14:20 Hitoshi Moriyoshi (Nagoya Univ.)
Geometry on the space of equi-centro-affine curves

14:30-15:20 Ramón Barral Lijó (Ritsumeikan Univ.)
Distinguishing colorings

15:40-16:30 Jesús Antonio Álvarez López  (Univ. of Santiago de Compostela)
Haefliger’s cohomology and tautness for matchbox manifolds

16:40-17:40 TBA

１１月３０日（土）
9:00-9:50 Ryuma Orita (Tokyo Metropolitan Univ.)
Rigid fibers of spinning tops

10:00-10:50 Olga Lukina  (Univ. of Vienna)
Cantor actions and Galois groups

11:10-12:00 Ramón Barral Lijó  (Ritsumeikan Univ.)
Breaking symmetry

14:00-14:50 Naoki Kato (Chukyo Univ.)
Turbulizations of transversely affine foliations of codimension two

15:00-15:50 Noboru Ito (Univ. of Tokyo)
A categorified Vassiliev skein relation on Khovanov homology

16:10-17:40 TBA

19:00- JR草津駅近くの会場における懇親会

１２月１日（日）
9:00-9:50 Olga Lukina  (Univ. of Vienna)
Stabilizers of points for Cantor group actions

10:00-10:50 Tetsuya Abe (Ritsumeikan Univ.)
On annulus presentations of knots

11:10-12:00 Jesús Antonio Álvarez López  (Univ. of Santiago de Compostela)
A distributional trace formula for foliated flows

※ プログラムは変更されることがありますのであらかじめご了承ください。

E-mail：hnozawa（at）fc.ritsumei.ac.jp

Oct. 24: Page created. First-announcement.
アブストラクト

Hitoshi Moriyoshi (Nagoya Univ.)

Title: Geometry on the space of equi-centro-affine curves

Abstract: A curve $$c$$ on the Euclidean plane is called equi-centro-affine if it satisfies $$\mathrm{det} (c c’)=1$$. The space of all equi-centro-affine curves on plane turns out to be a manifold of infinite dimension, which admits an interesting action by the group of orientation-preserving diffeomorphisms on unit circle. In this talk, we exhibit invariant pre-symplectic forms on the infinite-dimensional manifold and momentum maps related to those forms, which are also involved with the celebrated Gelfand-Fuchs $$2$$-cocycle.

Ramón Barral Lijó (Ritsumeikan Univ.)

Title: Distinguishing colorings

Abstract: We will introduce the concepts or distinguishing and limit distinguishing colorings for graphs, as well as the corresponding indices. We will also present known results and bounds for these indices for different families of graphs.

Jesús Antonio Álvarez López  (Univ. of Santiago de Compostela)

Title: Haefliger’s cohomology and tautness for matchbox manifolds

Abstract: (joint work with Steven Hurder and Hiraku Nozawa) For a compact foliated space $$\mathfrak M$$ of dimension $$p$$, we introduce a cochain complex which combines the de~Rham complex along the leaves and the Alexander-Spanier complex in the transverse direction. This complex also has a filtration by differential spaces, giving rise to a version of the Leray spectral sequence $$(E_k^{u,v},d_k)$$ for $$\mathfrak M$$. The part $$E_2^{\cdot,p}$$ is a version of the Haefliger cohomology for $$\mathfrak M$$, which can be used to characterize a version of tautness like in the case of foliations on compact manifolds. In particular, all matchbox manifolds are taut in our sense.

Ryuma Orita (Tokyo Metropolitan Univ.)

Title: Rigid fibers of spinning tops

Abstract: In the talk, we deal with fibers of classical Liouville integrable systems containing the Lagrangian top and the Kovalevskaya top. Especially, we find a non-displaceable fiber for each of them. To prove these results, we use the notion of superheaviness introduced by Entov and Polterovich. This is a joint work with Morimichi Kawasaki (RIMS).

Olga Lukina  (Univ. of Vienna)

Title: Cantor actions and Galois groups

Abstract: In this talk, we consider applications of dynamical invariants for Cantor group actions in Number theory, namely for the study of a certain type of representations of absolute Galois groups of number and function fields.

Ramón Barral Lijó (Ritsumeikan Univ.)

Title: Breaking symmetry

Abstract: We will contextualize the previous talk in the setting of the Gromov space of graphs, and will present some applications to other areas of mathematics.

Naoki Kato (Chukyo Univ.)

Title: Turbulizations of transversely affine foliations of codimension two

Abstract: In 1980, Seke gave a condition for turbulized foliations of codimension one transversely affine foliations to have transverse affine structures again. Recently, Mitsumatsu and Vogt defined the notion of turbulizations for higher codimensional foliations. In this talk, we give a condition for turbulized foliations of codimension two transversely affine foliations to have transverse affine structures again.

Noboru Ito (Univ. of Tokyo)

Title: A categorified Vassiliev skein relation on Khovanov homology

Abstract: This is a joint work with Jun Yoshida (The University of Tokyo). In this talk, we define a chain map that categorifies the operation “crossing change” on Khovanov homology using a canonical short exact sequence of a mapping cone at each crossing of a link diagram. The chain map is invariant under moves of singular knots. By the setting, taking graded Euler characteristics, a Vassiliev skein relation for a Jones polynomial is recovered.

Olga Lukina  (Univ. of Vienna)

Title: Stabilizers of points for Cantor group actions

Abstract: We study properties of stabilizers of points for Cantor group actions, such as the number of distinct stabilizers of points without holonomy, and the genericity of points with non-trivial holonomy in a measure-theoretical sense. We then apply our results to study the properties of invariant random subgroups, defined by such action. Joint work with Maik Groeger.

Tetsuya Abe (Ritsumeikan Univ.)

Title: On annulus presentations of knots

Abstract: In 2013, Jong, Omae, Takeuchi and I introduced the notion of annulus presentations of knots. In this talk, we discuss the following topics:

1. Why we are interested in annulus presentations of knots.
2. An obstruction to knots admitting annulus presentations in terms of the Jones polynomial.
3. Table of knots which admit annulus presentations up to 8 crossings.

This is joint work with Keiji Tagami. Note that Gen Suzuki (who is a student of Ritsumeikan University) partially made the table of knots which admit annulus presentations up to 8 crossings.

Jesús Antonio Álvarez López  (Univ. of Santiago de Compostela)

Title: A distributional trace formula for foliated flows

Abstract: Let $$\mathcal F$$ be a smooth codimension one foliation on a compact manifold $$M$$. A flow $$\phi^t$$ on $$M$$ is said to be foliated if it maps leaves to leaves. If moreover the closed orbits and preserved leaves are simple, then there are finitely many preserved leaves, which are compact, forming a compact subset $$M^0$$, and a precise description of the transverse structure of $$\mathcal F$$ can be given. A version of the reduced leafwise cohomology, $$\overline{H}I(\mathcal F)$$, is defined by using distributional leafwise differential forms conormal to $$M^0$$. The talk will be about our progress to define distributional traces of the induced action of $$\phi^t$$ on $$\overline{H}^rI(\mathcal F)$$, for every degree $$r$$, and to prove a corresponding Lefschetz trace formula involving the closed orbits and leaves preserved by $$\phi^t$$. The formula also involves a distributional version of the $$\eta$$-invariant of $$M^0$$, which might be zero. This kind of distributional trace formula was conjectured by Christopher Deninger, and it was proved by the first two authors when $$M^0=\emptyset$$.

### 2019年10月15日(火) ワークショップ

2019.09.26 Thu up
”Ritsumeikan One Day Workshop on Probability and Statistics”

### 2019年5月25日(土)・26日(日) 研究集会「幾何学と力学とその応用」

2019.05.05 Sun up

(Geometry, Mechanics, and their Applications）

ウェストウィング 6階談話会室

プログラムPDFファイルをご覧ください）

### 2019年9月1日(日)～7日(土)　ワークショップ

2019.04.05 Fri up
The Fifth Japan-China Geometry Conference

Dates: September 1–September 7, 2019
Conference Venue: Ritsumeikan University,  Biwako-Kusatsu Campus (BKC), West-Wing

Organizers:

Scientific Committee:
Akito Futaki (Tsinghua University)
Anmin Li (Sichuan University)
Toshiki Mabuchi (Osaka University)
Yoshihiro Ohnita (Osaka City University)
Gang Tian (Peking University)
Weiping Zhang (Chern Institute of Mathematics)

Organizing Committee:
Qing-Ming Cheng (Fukuoka University)
Qing Ding (Fudan University)
Ryushi Goto (Osaka University)
Ryoichi Kobayashi (Nagoya University)
Haizhong Li (Tsinghua University)
Jiayu Li (University of Science and Technology of China)
Reiko Miyaoka (Tohoku University)
Hitoshi Moriyoshi (Nagoya University)
Takashi Shioya (Tohoku University)
Zizhou Tang (Chern Institute of Mathematics)
Changping Wang (Fujian Normal University)

Local Organizers:
Hiroyuki Osaka (Ritsumeikan University)
Toshikazu Natsume (Ritsumeikan University)

Invited Speakers:
Daguang Chen (Tsinghua University)

Fuquan Fang (Capital Normal University)
Atsushi Fujioka (Kansai University)
Pengfei Guan (McGill University)
Xiaoli Han (Tsinghua University)
Shohei Honda (Tohoku University)
Rongli Huang (Guangxi Normal University)
Masashi Ishida (Tohoku University)
Xiaoshang Jin (Peking University)
Haizhong Li (Tsinghua University)
Toshiki Mabuchi (Osaka University)
Shin-ichi Ohta  (Osaka University)
Kaoru Ono (Kyoto University)
Chao Qian (Beijing Institute of Technology)
Li Sheng (Sichuan University)
Gang Tian (Peking University)
Peng Wang  (Fujian Normal University)
Yong Wei (University of Science and Technology of  China and Australian National University)
Hongwei Xu (Zhejiang University)
Takao Yamaguchi (Kyoto University)
Xi Zhang (University of Science and Technology of China)

For information:
Q.-M. Cheng  (cheng@fukuoka-u.ac.jp)
R. Miyaoka (r-miyaok@m.tohoku.ac.jp)
H. Moriyoshi (moriyosi@math.nagoya-u.ac.jp)

Supported by :
JSPS Grants (Q.-M. Cheng, R. Goto, R. Miyaoka, H. Moriyoshi, T. Shioya), and
Department of Mathematical Science, Ritsumeikan University

### 2019年4月4日(木)　ワークショップ

2019.04.01 Mon up
”One day workshop on stochastic analysis”
• Date: 4 Apr. (Thu.)
• Place: W.W. 6th-floor, Colloquium Room
• Time: 13:00-18:20

Schedule

• Time: 13:00-13:40
• Speaker: Seiichiro Kusuoka (Okayama University)
• Title: Invariant measure and flow associated to the Phi4-quantum field model on the three-dimensional torus

• Time: 13:45-14:25
• Speaker: David Nualart (Kansas University)
• Title: Breuer-Major theorem: tightness and rate of convergence

• Time: 14:40-15:20
• Speaker: Hiroshi Tsukada (Kyoto University)
• Title: Pathwise uniqueness of SDEs driven by strictly stable processes

• Time: 15:25-15:45
• Speaker: Takuya Nakagawa (Ritsumeikan University)
• Title: $L^{\beta}$ distance between two one-dimensional stochastic differential equations driven by a symmetric $\alpha$-stable process

• Time: 16:00-16:40
• Speaker: Lorick Huang (INSA de Toulouse)
• Title: A Local Limit Theorem for Robbins-Monro Procedure

• Time: 16:45-17:25
• Speaker: Yu Ito (Kyoto Sangyo University)
• Title: A fractional calculus approach to rough path integration

• Time: 17:40-18:20
• Speaker: Anthony Reveillac (INSA de Toulouse)
• Title: On a stochastic Hardy-Littlewood-Sobolev inequality with application to Strichartz estimates for a noise dispersion

Organizing Committee: Yuuki Ida (Ritsumeikan University) and Gô Yûki (Ritsumeikan University)

### 2018年10月18日(木)　ワークショップ

2018.10.18 Thu up
”Ritsumeikan Workshop on Probability Theory and its Applications to Insurance and Finance”

### 2018年3月26日(月)～28日(水)　ワークショップ

2017.11.29 Wed up

Noncommutative Geometry and K-theory at Rits
-The Fourth China-Japan Conference-

Dates : March 26 (Monday) — 28 (Wednesday), 2018
Conference Venue : Ritsumeikan University, Biwako-Kusatsu Campus (BKC)
Access Map

Organizing Committee :
Toshikazu Natsume, Ritsumeikan University, Co-chair
Hiroyuki Osaka, Ritsumeikan University, Co-chair
Tsuyoshi Kato, Kyoto University
Yasuyuki Kawahigashi, University of Tokyo
Hitoshi Moriyoshi, Nagoya University

Invited Speakers
:

Tomohiro Fukaya, Tokyo Metropolitan University
Yoshiyasu Fukumoto, East China Normal University
Goroh Ishiki, Tsukuba University
Yosuke Kubota, RIKEN
Hongzhi Liu, Shanghai Center for Mathematical Sciences, Fudan University
Raphael Ponge, Seoul National University
Naoya Suzuki, National Institute of Technology, Akita College
Doman Takata, Kyoto University
Kai Wang, Fudan University
Qin Wang, East China Normal University
Kentaroh Yoshida, Kyoto University
Yang Zhang, University of Manitoba
Dapeng Zhou, East China Normal University

For information : Toshikazu Natsume (tnatsume@jcom.zaq.ne.jp)

### 2017年6月12日・13日「微分方程式と幾何学」研究集会

2017.05.13 Sat up
「微分方程式と幾何学」研究集会

ウェストウィング 6階談話会室

（立命館大学理工学部数理科学科）

プログラムPDFファイル
6月12日（月）

14:00～15:00 森本徹（四日市大学・奈良女子大学）
sl_3型の外在的幾何と微分方程式

15:15～16:15 中村あかね（城西大学）
4次元パンルヴェ型方程式と種数2曲線の退化

16:30～17:30 伊藤秀一（金沢大学）
ベクトル場と写像に対する可積分性と標準形理論

6月13日（火）

9:30～10:30   貝塚公一（日本医科大学）
A characterization of the L2-range of the Poisson transform with real and singular spectral
parameter on symmetric spaces

10:45～11:45 筧知之（筑波大学）
平均値作用素の全射性

13:30～14:30 田村充司（工学院大学）
On bi-characteristic curves of Sub-Laplacian and related Grushin type operators

14:45～15:45 古谷賢朗（東京理科大学）
Complete classification of pseudo H-type algebras and application

### 2016年11月11日(金)～13日(日) シンポジウム

2016.10.24 Mon up
「6th Ritsumeikan – Monash Symposium on Probability and Related Fields 」

関西大学千里山キャンパス　(13日)

### 2016年9月3日(土) ワークショップ

2016.08.24 Wed up
”One day workshop on Stochastic Processes and Financial and Insurance Mathematics II”