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2024-03-22

ORCID to auto-report your research contributions & manage your online visibility

カトゥリン・ボシゥメン (数理創造プログラム 副プログラムディレクター / Professor, Department of Physics, Toronto Metropolitan University, Canada)

We all have to report our papers (and grants) activities at least once per year to the institutions we work for. Different employers have different systems (e.g. RIKEN has RARS) and it is tiresome to fill these forms again and again. We also want to share or make this information visible to the wider scientific community, as part of looking for a new jobs or for new collaborators. Again a lot of different tools and databases exist (Scopus, Web of Science, Dimensions, Google Scholar, ResearchGate, Pubmed, etc.). In this talk I want to tell you about ORCID: what it is and what it can do for you. Especially, how it can help you solve the problems of reporting and widely disseminating your research accomplishments to the community across the different platforms, while managing it in just one place: your ORCID record. I'll demonstrate some of nice applications.

2024-03-15

What is a Mathematical Model to Replicate Filtration Phenomena?

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 discuss a mathematical model concerning filtration of water and air. I will demonstrate how filtration phenomena can be mathematically replicated using special (less known) boundary conditions. I will also explain why these boundary conditions are necessary and discuss future possibilities.

2024-03-08

Kin selection and social evolution

トーマス・ヒッチコック (数理創造プログラム 基礎科学特別研究員)

All of life is social, yet the evolution of social traits posed a problem to classical Darwinian thinking for over a century. I will introduce the concepts of kin selection, relatedness, and inclusive fitness and talk about how these resolved the puzzle of altruistic behaviours and revolutionised behavioural ecology in the process. I will then discuss how the scope of social evolution has expanded over the years to tackle a wider set of questions, including the origins of individuality itself.

2024-03-01

Molecular evolution and the neutral theory

ジェフリ・フォーセット (数理創造プログラム 上級研究員)

Understanding how biological diversity is created is one of the most fundamental goals in biology. While the work of Charles Darwin formed the basic framework of Evolution, especially by highlighting the role of natural selection, it was the work of Motoo Kimura, who proposed the Neutral Theory and highlighted the role of stochastic processes, that formed the theoretical framework of molecular (i.e., DNA/RNA/protein) evolution. Here, I will explain the basic ideas of the Neutral Theory and the processes involved in creating the diversity at the molecular level.

2024-02-16

Welcome to the new world, "Particle Zoo 2.0"

土井 琢身 (数理創造プログラム 専任研究員)

In 1960s, many new "fundamental" particles were found and called "Particle Zoo". Their systematic classification lead to the discovery of elementary particles, quarks. Since the beginning of 21c, however, a new kind of mysterious (exotic) particles are unexpectedly being discovered. In this talk, I will introduce this new world of "Particle Zoo 2.0" and its impact.

2024-02-09

The undervalued and misunderstood importance of taxonomy in century 21th

ホセ サイード・グティエレス オルテガ (数理創造プログラム 基礎科学特別研究員)

Taxonomy, the branch of biology that classifies the living beings and give them scientific names, is not a hypothesis-driven science but a descriptive discipline that suffers of a great undervaluation in century 21th. Taxonomic papers will never be published in high impact journals, they won’t get many citations (if any), and getting funding for pure taxonomic research is basically impossible. Furthermore, taxonomy is often criticized for its apparent arbitrariness on how researchers decide to give name to a species, and attaching a scientific name to a group of organisms often seems trivial in a moment when in biology the definition of “species" is heavily discussed. Certainly, this is not a good moment for a biologist to specialize in taxonomy. (Un)fortunately, my research line somehow directed me to become a “part-time taxonomist”, which compels me to try to understand and overcome the challenges of this discipline. I will tell a few of my experiences as a taxonomist and will tell you about, in my opinion, the hottest topic in the modern history of taxonomy: should taxonomy be reinvented by updating its conventional rules?

2024-02-02

Do Mathematicians Dream of Quantum Field Theory?

森脇 湧登 (数理創造プログラム 基礎科学特別研究員)

Leibniz discovered differentiation independently of "classical mechanics" and Riemann discovered Riemannian geometry independently of "theory of gravity". Let's ask: "Will Quantum field theory (a fundamental theory of physics) be reconstructed from pure mathematics?". Here I will talk about what I feel quantum field theory looks like as future mathematics based on my current understanding and expectations. One mathematician said that "quantum field theory is the mathematics of the 22nd century." So this is an extremely incomplete and informal talk, so please listen with an easy mind and a cup of coffee :)

2024-01-26

What is a path integral?

クリスティ・コウジ・ケリー (数理創造プログラム 基礎科学特別研究員)

Path integrals are an important technical tool in physics for describing quantum systems. We will try to provide an intuitive account of why they appear in quantum theory and show why they are mathematically difficult to understand.

2024-01-19

How were elements synthesized?

内藤 智也 (数理創造プログラム 基礎科学特別研究員)

I will explain how elements were synthesized in the Universe, which is a important topic in nuclear physics.

2024-01-12

Two reasons why hydrogen exists

初田 哲男 (数理創造プログラム プログラムディレクター)

2024-01-05

Brane Tiling: a bridge between geometry and gauge theory

金 東昱 (数理創造プログラム 特別研究員)

I will quickly overview the story of brane tiling, also known as dimer model, involving its relation with supersymmetric gauge theory and toric Calabi-Yau geometries.

2023-12-22

TBD

プラティック・ナンディ (数理創造プログラム 特別研究員)

TBD

YouTube: Resurgence: making sense out of non-convergent seriesPublic

2023-12-15

Resurgence: making sense out of non-convergent series

本多 正純 (数理創造プログラム 上級研究員)

Interesting problems are often difficult to solve and this is why they are interesting. For such problems, we often aprroximate the answers by considering perturbation around solvable cases. Perturbative series obtained in such a way are often not convergent and their naive summation to all orders are divergent. In this talk, I will introduce techniques to make sense out of non-convergent perturbative series.

YouTube: How can we use a quantum computer to study the ground state of the hydrogen molecule?Public

2023-12-08

How can we use a quantum computer to study the ground state of the hydrogen molecule?

シュテッフェン・バッケス (数理創造プログラム 上級研究員 / 理化学研究所 創発物性科学研究センター (CEMS) 計算物質科学研究チーム 上級研究員)

Quantum computers differ fundamentally from classical computers, since their main computing unit, the "Qubit", is a quantum-mechanical object. But how can we actually exploit this "quantumness" to study or simulate a physical system? In this coffee talk I want to discuss the basic principles of Quantum computing and present just the smallest set of tools we need to obtain the ground state wave function and ground state energy of (a simplified model of) the hydrogen molecule.

2023-12-01

Asymptotics of period integrals

山本 悠登 (数理創造プログラム 基礎科学特別研究員)

A period integral is one of the most fundamental quantities of complex manifolds. In the talk, I will explain a technique of tropical geometry to compute the asymptotics of period integrals for a one-parameter family of complex plane curves.

2023-11-24

Surface interaction between dust grains: an introduction to JKR theory

辰馬 未沙子 (数理創造プログラム 研究員)

The planet formation process is the growth from sub-micrometer-sized cosmic dust grains to thousand-kilometer-sized planets. This growth process has broadly two phases: the growth from dust grains to kilometer-sized planetesimals, mainly driven by intermolecular forces like van der Waals forces and hydrogen bonds, and the subsequent growth from planetesimals to planets, governed by gravitational forces. In the aggregation process of dust grains, the interactions between their surfaces play a fundamental role. In the interaction model known as Johnson-Kendall-Roberts (JKR) theory, we treat dust grains as elastic spheres with sticky force caused by intermolecular forces and parameterized by surface energy. In this talk, I will provide an overview of the estimation of elastic forces and surface sticking forces.

2023-11-17

Elements of majorization
and its properties

入谷 亮介 (数理創造プログラム 上級研究員)

I will explain about the basics of majorization and Schur-convexity. Specifically, I will first talk about the definition of majorizaiton. Second, I will explain about Schur-convexit functions as a class of majorization-monotone functions. Finally I will talk about the applications, including how the second law of thermodynamics can prove the arithmetic-geometric means inequality.

2023-11-10

Introduction to symmetry and band topology

小野 清志郎 (数理創造プログラム 基礎科学特別研究員)

The last decade has seen significant advances in the understanding of topological materials. In this talk, I will briefly discuss what topological insulators are and how they can be efficiently distinguished from atomic insulators.

2023-10-27

How to mark IMO papers

児玉 大樹 (数理創造プログラム 客員研究員 / 武蔵野大学 数理工学センター 特別研究員)

I will report my experience in marking papers in International Mathematical Olympiad (IMO). I will explain why and how it is difficult to mark IMO papers. You can find the set of problems at https://www.imo-official.org/problems.aspx I was in charge of Problem 4., so if you are interested please try to solve it. Problem 1 and 4 are considered to be easy (as an IMO problem, of course).

YouTube: Applications and Extensions of the Nielsen-Ninomiya Theorem in Condensed Matter PhysicsPublic

2023-10-20

Applications and Extensions of the Nielsen-Ninomiya Theorem in Condensed Matter Physics

邱 靖凱 (数理創造プログラム 上級研究員)

Over four decades ago, Nielsen and Ninomiya presented a groundbreaking discovery showing that chiral fermions on a lattice must obey the principle of fermion doubling, ensuring an equivalent count of left-handed and right-handed fermions. This pivotal theorem has found significant applications in the realm of condensed matter physics, most notably in the study of topological states of matter. Intriguingly, a deeper exploration beyond the theorem's original scope reveals that, with the preservation of certain additional symmetries, the symmetries necessitate a minimum of more than two handed fermions on the lattice.