Toward the standard model of elementary particles -- a brief history in 15 min. --

初田 哲男 (数理創造プログラム プログラムディレクター)

I will make a very brief overview on the path toward the modern understanding on the law(s) of fundamental particles.


Mathematical analysis to smoldering combustion

小林 俊介 (数理創造プログラム 客員研究員 / 京都大学 大学院理学研究科 附属サイエンス連携探索センター (SACRA) 特定助教)

Recently, experimental and theoretical study on near-floor flame spreading along a thin solid have been reported. In this talk, I would like to introduce a mathematical model for flame/smoldering fronts, which is equivalent to the Kuramoto--Sivashinsky equation in a scale.


Is a vacuum empty?

多田 司 (数理創造プログラム コーディネーター / 理化学研究所 仁科加速器科学研究センター (RNC) 量子ハドロン物理学研究室 副主任研究員)

Usually, a vacuum is a word associated with nothingness. The modern concept of the vacuum, however, exhibits rich and beautiful structure. I will explain the vacuum is the very foundation of our universe.


Revealing the Neutron Star Properties from Gravitional Wave

黄 永嘉 (数理創造プログラム 国際プログラム・アソシエイト / Ph.D. Student, University of Science and Technology of China, China)

The gravitational wave detection brings us new opportunities to measure the neutron stars' properties. In this talk, I will briefly introduce the process of binary neutron star merger and what we could know from gravitational wave.


Elucidation of Physics inside Neutron Stars from their Cooling Observations

土肥 明 (数理創造プログラム 大学院生リサーチ・アソシエイト / 九州大学 大学院理学府 物理学専攻 博士課程)

The densest stars in universe, neutron stars (NSs), cool down due to neutrino losses after their formation. Firstly, I will review about the NS cooling and the representative observations such as Cassiopeia A and possibly NS in supernova 1987A. NS cooling curves are affected by various uncertain physics which may work in NSs. One of the examples is nucleon superfluidty. I will introduce how the neutrons superfluidity can be specified by cooling observations. Another is modified-gravity or beyond-general-relativistic effect. If time is allowed, I also present the possibility to test the theory to describe gravity with use of cooling observations.


Quasi-steady problem and maximal regularity

古川 賢 (数理創造プログラム 特別研究員 / 理化学研究所 開拓研究本部 (CPR) 三好予測科学研究室 特別研究員)

I will introduce a brief review of the theory of maximal regularity, and show application to quasi-steady partial differential equations of parabolic type.


On the story of renormalization

菊地 健吾 (数理創造プログラム 基礎科学特別研究員)


Recent progress in understanding the diversity of eukaryotes based on large scale sequence data-analyses

矢﨑 裕規 (数理創造プログラム 特別研究員)

Understanding the phylogenetic relationships of eukaryotes is one of the major research issues in evolutionary biology, since this is the backbone of all eukaryotic evolutionary studies. This research has the history of more than 300 years, and recent statistical analyses using large-scale sequence data has revealed significant progress. I would like to give an overview of the researches for elucidating the phylogenetic relationship of eukaryotes.


(Re-)Overview of iTHEMS and some annoucements

初田 哲男 (数理創造プログラム プログラムディレクター)


Single polymer chain model: bead spring model

横田 宏 (数理創造プログラム 特別研究員)

We frequently meet polymer in our life. For example, DNA in living cells or plastic bag made from polyethylene. In this talk, I will introduce the bead-spring model which is a theoretical model of polymer chain in polymer physics.


Thomas-Fermi theory

後藤 ゆきみ (数理創造プログラム 基礎科学特別研究員)

Although Thomas-Fermi (TF) theory is the original density functional theory, it cannot predict many properties of atoms. I will briefly review the mathematical point of view on the validity of TF theory.


Toward classification of algebraic varieties

佐藤 謙太 (数理創造プログラム 客員研究員 / 九州大学 大学院数理学研究院 数学部門 助教)

An algebraic variety is a figure defined as the set of solutions of polynomial equations. In this talk, I will briefly explaine recent developments in the classification theory of algebraic varieties.

YouTube: Planetary lightning: Current State-of-the-art and outstanding questionsPublic


Planetary lightning: Current State-of-the-art and outstanding questions

Jeremy Riousset (Florida Institute of Technology)


Instanton Floer homology and TQFT

谷口 正樹 (数理創造プログラム 基礎科学特別研究員)

I would like to review how to construct a TQFT like extension of Donaldson invariant. The main reference is "S. K. Donaldson. Floer homology groups in Yang-Mills theory, Vol. 147 of Cambridge Tracts in Mathematics.".

YouTube: Collective Power of Science ~ from the High-Energy Atmospheric Physics to our New Exploration of the Universe ~Public


Collective Power of Science ~ from the High-Energy Atmospheric Physics to our New Exploration of the Universe ~

Teruaki Enoto (Extreme natural phenomena RIKEN Hakubi Research Team)

Lightning discharges and thunderstorms have been recently revealed to exhibit unexpected high-energy phenomena, such as electron acceleration by atmospheric electric fields and photonuclear reactions by gamma rays from accelerated electrons. Our "Extreme natural phenomena RIKEN Hakubi Research Team" is a new group launched in January 2020, and working to create a new interdisciplinary field called the "high-energy atmospheric physics." We are constructing a new observation network for winter thunderclouds along the coast of the Sea of Japan. The heart of this research approach is the "Collective Power of Science". It is an attempt to create science not with a single large instrument, but with a combination of small, scalable instruments. We plan to apply this idea to space X-ray observations using CubeSats and lunar exploration to search for water on its surface using neutron signals generated by cosmic rays. Here I introduce our group activities.


Neural Turing Machines

田中 章詞 (数理創造プログラム 上級研究員)

I would like to review how to design 'trainable computer' in the context of recent deep learning techniques: arxiv: 1410.5401


Peeling tape as a reaction-diffusion system

Keisuke Taga (Waseda Universtiy)

When you peel a tape with appropriate velocity, you will find a sierpinski-gascket like fractal pattern on the peeled trace. It is known that this pattern is caused by a switching of a peeling front structure. In this talk, I will introduce a new model of reaction-diffusion system, which can describe this pattern formation.


On the ionization problem

後藤 ゆきみ (数理創造プログラム 基礎科学特別研究員)

From experiments, it seems that a neutral atom can only bind one or two extra electrons. This is a long standing open problem, sometimes referred to as the ionization conjecture. In this talk, I will briefly present the status of the conjecture.


Knots in Quantum Field Theory

太田 敏博 (数理創造プログラム 研修生 / 大阪大学 大学院理学研究科 博士課程)

In our three dimensional space knots (or links) are ubiquitous, not only in physics or mathematics, but also in biology, chemistry etc. (Rather, knots might be more common in biology and chemistry...) When knots appear in our world, they often look too complicated to be classified or distinguished. In this talk I will briefly explain a way to deal with the classification of knots using the general ideas of quantum field theory.


What should we do about COVID-19?

カトゥリン・ボシゥメン (数理創造プログラム 客員主管研究員 / Professor, Department of Physics, Ryerson University, Canada)

We have been analyzing and modelling the data for COVID-19 cases in Tokyo and Saitama. We have built mathematical models to analyze the data and make predictions about where the case counts can be expected to go next, and what the consequences could be. For a while, things were going better and better, and daily cases were going down. With the increasing case count in Tokyo, Saitama, Osaka, etc., we now have some concerns. We would like an opportunity to show you some of our results and observations and hear your thoughts. How do you feel about the recent increases? If you were in charge, what decision would you take? As scientists, do we have a responsibility to make sure this information is provided to the general public so they have a clear understanding of the situation? We hope you will join us and share your thoughts.