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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.
2024-01-05
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.
Public2023-12-15
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.
Public2023-12-08
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).
Public2023-10-20
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.
2023-10-13
Introduction to attosecond physics
田屋 英俊 (数理創造プログラム 基礎科学特別研究員)
The winners of the Nobel prize 2023 in physics were Pierre Agostini, Ferenc Krausz and Anne L’Huillier, who made great contributions to the foundation of attosecond physics. Although I’m don’t work exactly in this field but in something related, so I’d like to take this opportunity to briefly review the idea of attosecond physics and its relation to my studies on high-energy physics.
2023-10-06
Enhance machine learning model in molecule science by multiscale correlation
ヤオクン・レイ (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) 杉田理論分子科学研究室 特別研究員)
Correlation stands as a foundational concept in molecular dynamics simulations. It underpins various mechanisms in chemical and biological phenomena, revealing how different degrees of freedom interact to give rise to specific macroscopic events. Essentially, researchers aim to unveil the intricate structure of the n-dimensional variable space to pinpoint regions that exert significant influence on the model or observed output. Armed with this knowledge, they can construct more refined parametric models for improved prediction and control of system behavior.
2023-09-29
A thermodynamical formalism for Kählerian spacetime
井上 瑛二 (数理創造プログラム 基礎科学特別研究員)
When a Kähler manifold X admits a unique "nice/stable" shape (cf. Kähler-Einstein metric, cscK metric), one can imagine there is a time-dependent equation (flow) on shape which stabilizes any initial shape to the stable shape. One might speculate any X admits such a "nice/stable" shape, but it is not the case. It is then interesting to see the limit behavior (canonical boundary condition) of the flow when X does not admit "nice/stable" shape. One hopes to characterize such canonical boundary condition as a unique maximizer of some functional on the space of boundary conditions (formalized as non-archimedean metrics), independent of initial metric. I will sketch the structure of one such framework on canonical boundary condition, in which the functional is nalogous to free energy and is deeply related to Perelman entropy.
Public2023-09-15
COVID-19: then, now, and into the future
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)
As we are (hopefully, possibly) finally reaching the peak of Japan's 9th COVID-19 wave --- which began around mid-March 2023, when the government lifted the mask mandate --- I would like to present a perspective on the large-scale epidemic that was, still is, and what we can hope for or expect in the future. I would like to make this a very informal talk: I want you to feel free to interrupt and ask questions. I made sure not to prepare too much material to leave time for lively interactions.