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.
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.
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.
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.
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).
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.
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.
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.
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.
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.
A perspective on symmetries and their usefulness in our cosmos
難波 亮 (数理創造プログラム 上級研究員)
New constraint on neutron star mass and radius
祖谷 元 (数理創造プログラム 研究員 / 理化学研究所 開拓研究本部 (CPR) 長瀧天体ビッグバン研究室 研究員)
Neutron stars are a suitable candiadte for probing the extreme states. In particular, the mass and radius constraints help us to understand the equation of state for high density matter. In this talk we show a new constraint on GRB 200415A by indentifying the observed QPOs with crustal torsional oscillations.
佐藤 勇貴 (徳山工業高等専門学校 准教授)
According to Einstein’s special theory of relativity, space and time are inherently non-separable and collectively dubbed spacetime. Einstein’s another expanded theory, general relativity (GR), claims that spacetime is a dynamical entity, and the theory explains various astronomical observations very well. On the other hand, spacetime at its very beginning is supposed to be too small for GR to work properly. For such a small spacetime, quantum mechanics should play a crucial role, coming into line with GR, which may cure the situation. The spacetime that is influenced by the law of quantum mechanics is called quantum spacetime. My research is to investigate the very nature of quantum spacetime, in particular through the use of lattice discretization. In my talk, I plan to give an elementary introduction to studies of quantum spacetime.
野村 泰紀 (Director, Berkeley Center for Theoretical Physics, University of California, Berkeley, USA)
Current status of particle dark matter
藤原 素子 (Postdoctoral Researcher, Theoretical Particle Physics Group, Technical University of Munich, Germany)
In this talk, we will overview the current status of particle dark matter (DM). DM is a hypothetical matter that is believed to exist in our universe. We have discovered overwhelming evidence, such as rotational curves of the galaxies, but only through gravitational interaction. One interesting possibility is that DM can be an unknown elementary particle that interacts with the Standard Model (SM) particles. First, we will review particle DM candidates, search directions, and their latest results, through which we figure out the implications of theoretical properties of DM at the current stage. We also discuss new ideas to overcome limitations of the existing search directions and to probe unexplored DM parameter space comprehensively.
Integral Equation Approach for Solving the Boltzmann Equation
デリック・ビーティ―・インマン (数理創造プログラム 研究員)
I will explain why integral equations can be more useful than differential equations when solving the Boltzmann equation (no knowledge of cosmology required!)
リナルディ エンリコ (数理創造プログラム 客員研究員 / クオンティニュアム株式会社 Quantum Machine Learning and Algorithms Senior Research Scientist)
Everything you wanted to know about quantum computers without using quantum computers. An introductory view of simulating quantum circuits and the current status of quantum computers.
Long-range correlation in nonequilibrium systems
足立 景亮 (数理創造プログラム 基礎科学特別研究員 / 理化学研究所 生命機能科学研究センター (BDR) 生体非平衡物理学理研白眉研究チーム 基礎科学特別研究員)
Equilibrium states of physical systems, such as fluids and spins, typically show a short-range correlation with exponential decay, except in the symmetry-broken phase or at the critical point. In contrast, systems driven by external forces like shear flow can show a long-range correlation with power-law decay as a generic feature of nonequilibrium systems. Active matter, a crowd of self-propelled elements like bacteria or cells, is another nonequilibrium system, and its physical properties have been studied intensely. In this talk, I will overview the backgrounds and some results of our recent work that proposes a connection between externally driven systems and active matter through a long-range density correlation.
Black hole image in a nutshell
チュユ・チェン (数理創造プログラム 基礎科学特別研究員)
With the recent release of the black hole images from EHT, various image features have been discovered, and some of them have even been in the spotlight among the community. Starting from the definition of photon sphere, I'll introduce some of these image features, including critical curve, photon rings, and inner shadow.
Quantum Gravity and Holography
魏 子夏 (数理創造プログラム 基礎科学特別研究員)
Quantum gravity is one of the most fundamental topics in theoretical physics. In this talk, I will sketch what quantum gravity is, why physicists are curious about it, and how the concept of "holography" plays an important role in recent studies of quantum gravity.