イベント検索
675 件
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セミナー
Selective inference for testing trees and edges in hierarchical clustering and phylogeny
2021年12月9日(木) 10:00 - 11:00
下平 英寿 (京都大学 大学院情報学研究科 教授 / 理化学研究所 革新知能統合研究センター (AIP) 数理統計学チーム チームリーダー)
Bootstrap resampling is quite useful for computing “confidence values” or “p-values” of trees and edges. However, they are biased and may lead to false positives (too many wrong discoveries) or false negatives (too few correct discoveries) depending on the “curvature” of the boundary surface of a hypothesis region in the data space. In addition, we face the issue of selection bias because we tend to use the dataset twice for hypothesis selection and its evaluation. I will explain these two types of bias and show methods to adjust the confidence values.
会場: via Zoom
イベント公式言語: 英語
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セミナー
The Conley index of topological dynamical systems
2021年12月3日(金) 16:00 - 18:00
森田 陽介 (京都大学 大学院理学研究科 助教)
The study of topological dynamical systems, i.e. continuous self-homeomorphisms (or continuous flows) on topological spaces, is important in both pure mathematics and applications. To each isolated invariant subset of a topological dynamical system, we can assign an invariant called the Conley index, which is (roughly speaking) a based space that describes the dynamics around the isolated invariant subset. It is used not only in the study of topological dynamical systems themselves but also in Manolescu’s construction of the Seiberg-Witten-Floer homotopy type (a spectrum-valued (3+1)-dimensional TQFT). In this talk, I am planning to explain a new construction of Conley indices, which is entirely non-homotopical and uses only basic general topology. *Please contact Keita Mikami or Hiroyasu Miyazaki's mailing address to get access to the Zoom meeting room.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Self-adjointness from quantum-classical correspondence
2021年11月26日(金) 16:00 - 18:00
平良 晃一 (立命館大学 理工学部数理科学科 助教)
Self-adjointness is a fundamental property of a linear operator in quantum mechanics. In physics, a self-adjoint operator is usually defined to be an operator which is own adjoint. However, this definition is in fact not satisfactory since a self-adjoint operator in this definition does not always have nice properties such as the spectral decomposition. Hence, in mathematics, a kind of completeness is also assumed in the definition of a self-adjoint operator. Here a natural question is how to judge whether an operator is self-adjoint. It has been believed that self-adjointness is closely related to completeness of the classical dynamics for a long time although a complete description of such relations has not been given so far. I am planning to talk about how self-adjointness is important in mathematical physics. Moreover, I will explain relations between self-adjointness and classical dynamics by introducing some examples. *Please contact Keita Mikami or Hiroyasu Miyazaki's mailing address to get access to the Zoom meeting room.
会場: via Zoom
イベント公式言語: 英語
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セミナー
The graph removal lemma
2021年11月19日(金) 16:00 - 18:00
関 真一朗 (青山学院大学 助教)
We have recently proved an extension of the Green-Tao theorem on arithmetic progressions to number fields, in collaboration with Kai, Mimura, Munemasa and Yoshino. (Kai gave a talk on this result in March.) There are several promising approaches in this area, including ergodic theory and Fourier analysis, but we used a combinatorial tool, the relative hypergraph removal lemma proved by Conlon, Fox and Zhao. In the first half of this talk, I will give a survey of Szemerédi's regularity lemma and the graph removal lemma, and explain how to extend the removal lemma to the case of (weighted) hypergraphs. In the second half of this talk, I will present Fox's result on a quantitative version of the graph removal, and discuss the prospects for future research. *Please contact Keita Mikami's mail address to get access to the Zoom meeting room.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Spatial structure in ecology: the effects of dispersal network structure on biodiversity pattern and stability in metacommunities
2021年11月18日(木) 10:00 - 11:00
鈴木 裕香 (沖縄科学技術大学院大学 (OIST))
Ecological dynamics typically take place at a large spatial scale. However, it has been challenging to study them at a scale as large as a country, continent, or ocean. In particular, while there are many studies that consider systems with multiple local patches (known as "metacommunities"), spatial structures assumed in these studies are mostly simple or focused on a particular structure, despite the diverse landscape structures seen in nature. Thus, to understand how spatial structures affect metacommunities in nature, we need to expand our understanding of the role of spatial structure in regulating biodiversity patterns and stability across diverse spatial structures. In my study, I addressed this issue by using computer simulation with theoretical and empirical spatial structures. In this talk, I will show how the use of computational tools and network theoretical concepts aided investigating unexplored aspects of spatial structure and dissecting the complex nature of spatial network structure. Results suggest that how dispersal pathways are distributed in the network space affects total diversity, and the number of patches in a metacommunity is the dominant spatial parameter that regulate stability. Such an improved understanding of the role of spatial structure could contribute to a better conservation planning as well.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Confluence for the K-theoretic J-function
2021年11月12日(金) 16:00 - 18:00
Todor Milanov (東京大学 カブリ数物連携宇宙研究機構 (Kavli IPMU) 准教授)
I am planning to talk about my recent paper (1) written in collaboration with Alexis Roquefeuil. In the first part of the talk I would like to explain the background of our project: quantum differential equations and K-theoretic quantum q-difference equations in genus-0 Gromov--Witten theory. In the second part of the talk, I would like to explain our main result with an interesting application. Namely, under the assumption that the first Chern class of the tangent bundle is positive, we proved that the small J-function in quantum cohomology can be obtained as a limit q -->1 of the small J-function in quantum K-theory. In the case of a Fano toric manifold of Picard rank 2, we proved the K-theoretic version of an identity due to Iritani that relates the I-function of the toric manifold and the oscillatory integral of the toric mirror. In particular, our confluence result yields a new proof of Iritani's identity in the case of a Fano toric manifold of Picard rank 2. *Please contact Keita Mikami's mail address to get access to the Zoom meeting room.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Axions around rotating black holes
2021年11月12日(金) 14:00 - 16:00
吉野 裕高 (神戸大学 大学院理学研究科 物理学専攻 宇宙論研究室)
String theories indicate the existence of many axionlike scalar fields with light masses in addition to the QCD axion. If this is the case, an axion field around a rotating black hole extracts the energy of the black hole by the mechanism called the “superradiant instability”. Then, every astrophysical black hole is expected to wear a cloud of the axion. In this talk, I would like to give an overview on this topic, and introduce our numerical studies on the phenomena caused by the axion cloud at the last stage of the superradiant instability where the self-interaction of axions becomes important.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Toward mathematical medicine: development of a new drug and digital medicine for sleep disorders
2021年11月11日(木) 12:30 - 13:30
Jae Kyoung Kim (Associate Professor, Department of Mathematical Sciences, KAIST, Republic of Korea)
In this talk, I will illustrate collaborative stories between our math group and medical researchers to treat disrupted circadian rhythms and sleep. First, I will illustrate the key molecular mechanism for robust circadian rhythms against spatio-temporal noise, which we identified by analyzing spatio-temporal timeseries data of clock molecules. This explains why Alzheimer's diseases, obesity, and aging cause unstable circadian rhythms and sleep-wake cycle: cytoplasmic traffic jam, which provides a new paradigm to treat sleep disorders. Next, I will talk about our collaboration story with Pfizer Inc: how we used mathematical modeling to help the development of a new drug modulating the circadian phase. Finally, I will introduce our collaboration with Samsung medical center: how we used mathematical modeling to analyze complex sleep patterns of shift workers measured with wearables to find optimal sleep patterns minimizing sleep disorders. This opens the chance for the development of an app providing a personalized sleep schedule for shift workers.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Geometry and Physics of Mirror Symmetry
2021年11月5日(金) 16:00 - 18:00
Naichung Conan Leung (Professor of Mathematics, Department of Mathematics, The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong)
In the first half of this talk, I will describe the geometry and physics behind mirror symmetry in layman's terms. In the second half of this talk, I will provide a more mathematical explanation of the concepts involved in this mysterious conjecture. *Please contact Keita Mikami's mail address to get access to the Zoom meeting room.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Protein structure modeling from cryo-electron microscopy data
2021年11月4日(木) 13:30 - 14:30
森 貴治 (理化学研究所 開拓研究本部 (CPR) 杉田理論分子科学研究室 専任研究員)
Recent advances in cryo-electron microscopy (cryo-EM) have enabled us to determine three-dimensional structures of biomolecules at near-atomic resolution. Protein structure modeling from experimental cryo-EM data can be achieved using a molecular dynamics (MD) simulation, called flexible fitting. We have developed MD-based flexible fitting algorithms for efficient and reliable protein structure modeling. In this seminar, I would like to talk about our recent contributions to this field, and propose perspectives towards next-generation structural biology.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Is the Standard Model in the Swampland? Consistency Requirements from Gravitational Scattering
2021年11月2日(火) 14:30 - 16:00
青木 勝輝 (京都大学 基礎物理学研究所 基研特任助教)
Underlying assumptions on ultraviolet completion can impose constraints on its low-energy effective field theories (EFTs). The swampland program aims to clarify consistent and inconsistent EFTs with quantum gravity and aims to understand quantum gravity from low-energy physics and vice versa. One of the most well-established constraints is called positivity bounds, provided that general assumptions such as Poincare invariance and unitarity are satisfied at all scales. I will first explain how these consistency conditions arise especially in the presence of gravity. I will then show that the positivity bound is violated if the Standard Model of particle physics coupled to General Relativity is extrapolated up to 10^16 GeV, requiring new physics there or below. The precise value of the cutoff is determined by hadronic physic while it is insensitive from non-gravitational physics beyond the Standard Model. This is a signal from established physics for the necessity of quantum gravity below 10^16 GeV.
会場: コモンルーム 246-248号室 とZoomのハイブリッド開催
イベント公式言語: 英語
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コロキウム
High-Energy Neutrino Astrophysics in the Multimessenger Era
2021年10月28日(木) 15:00 - 16:30
村瀬 孔大 (Associate Professor, Pennsylvania State University, USA)
The discovery of high-energy cosmic neutrinos opened a new window of astroparticle physics. Their origin is a new mystery in the field, which is tightly connected to the long-standing puzzle about the origin of cosmic rays. I will give an overview of the latest results on high-energy neutrino and cosmic-ray observations, and demonstrate the power of "multimessenger" approaches. In particular, I will show that the observed fluxes of neutrinos, gamma rays, and extragalactic cosmic rays can be understood in a unified manner. I will also highlight the recent developments about astrophysical neutrino emission from supermassive black holes and violent transient phenomena. Possibilities of utilizing high-energy neutrinos as a probe of heavy dark matter may be discussed.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Nonlinear dynamics in frog choruses
2021年10月28日(木) 10:00 - 11:00
合原 一究 (筑波大学 システム情報系 准教授)
カエルのオスは、同種のメスを惹き寄せたり同種のオスへの縄張りを主張すべく鳴きます。結果としてオスは互いに相互作用しますが、そのなかにはさまざまな同調現象があります。この講演では、演者はオスの実際の同調的な鳴き方を紹介しつつ、その位相振動子モデルを紹介します[1,2]。続いて、最近取り組んでいるプロジェクトである、実証データから位相振動子を同定する研究を紹介します[3]。そしてモデルをハイブリッド力学系に拡張し、内在的な条件や同種オスとのやりとりに応じて オスが断続的に鳴き方を変更する現象の研究を紹介します[4]。
会場: via Zoom
イベント公式言語: 英語
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セミナー
Geometry of hyperkahler 4 manifolds
2021年10月22日(金) 13:00 - 15:00
Song Sun (Associate Professor, Department of Mathematics, University of California, Berkeley, USA)
An n dimensional Riemannian metric g defines a holonomy group, which is a subgroup of SO(n) given by parallel transport along all contractible loops (with respect to the Levi-Civita connection). According to the Berger classification we know that if a complete Riemannian metric is not locally symmetric and not locally reducible then its holonomy group is either the entire SO(n) (generic case), or U(n) (Kahler), or is special and belongs to a small list. Riemannian metrics with special holonomy are very interesting geometric objects to study, with many connections to analysis and physics. The simplest model is given by a 4 dimensional hyperkahler metric. We will explain the general background and discuss recent progress on understanding the geometry of hyperkahler 4 manifolds. *Please contact Keita Mikami's mail address to get access to the Zoom meeting room.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Evaluation of origin of driving force for loop formation in a chromatin fiber
2021年10月21日(木) 10:00 - 11:00
横田 宏 (理化学研究所 数理創造プログラム (iTHEMS) 特別研究員)
During cell division, chromatin fiber is condensed into the rod-like shape which is called chromosome. The rod-like shape of the chromosome is constructed by consecutive chromatin loop structures which are formed by the protein complex named condensin. In this talk, by calculating the driving force for the loop formation, we discuss the mechanism of loop formation which is the one of the controversial issues on chromosome condensation. The driving force is evaluated based on the free energy of the chromatin loop formation by constructing the polymer model. Based on the free energy, the loop growth length in the unit time is also evaluated. These evaluations also lead to the time evolution of the loop length and the mechanism of the loop formation.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Recent progress on the r-process in the era of gravitational-wave astronomy
2021年10月15日(金) 16:00 - 18:00
西村 信哉 (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)
The r-process, the rapid neutron-capture process, is a major origin of heavy nuclei beyond iron in the universe, occurring in explosive astrophysical phenomena with very neutron-rich environments. In the studies of r-process nucleosynthesis, there are several unsolved problems in nuclear physics and astrophysics. In this talk, I will briefly summarize recent progress on the studies of the r-process, mainly focusing on neutron star mergers. We will see that the scenario of neutron star mergers is consistent with several observations, e.g., GW170817 with a kilonova, chemical evolution of r-process elements. In addition, nevertheless, there are several remaining (or newly realized) problems on the origin of r-process elements in the universe. Focusing on our own research, I will introduce attempts to address these issues.
会場: via Zoom
イベント公式言語: 英語
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セミナー
The branched deformations of special Lagrangian submanifolds
2021年10月15日(金) 10:00 - 12:00
Siqi He (Research Assistant Professor, Simons Center for Geometry and Physics, Stony Brook University, USA)
Special Lagrangian submanifolds are a distinguished class of real calibrated submanifolds defined in a Calabi-Yau manifold, which are calibrated by the real part of the holomorphic volume form. Given a compact, smooth special Lagrangian submanifold, Mclean proved that the space of nearby special Lagrangian submanifolds of it could be parametrized by the harmonic 1-forms. In this talk, we will discuss some recent progress on generalizing Mclean’s result to the branched deformations. We will describe how to use multi-valued harmonic functions to construct branched nearby deformations. In the first one hour, we will introduce the background of special Lagrangian submanifold and explain the motivations to study this problem. In this second one hour, we will discuss the technical details and interesting new phenomenon in this branching deformation problem. *Please contact Keita Mikami's mail address to get access to the Zoom meeting room.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Understanding the effect of defective, interfering influenza virus
2021年10月14日(木) 10:00 - 11:00
カトゥリン・ボシゥメン (理化学研究所 数理創造プログラム (iTHEMS) 副プログラムディレクター)
Defective interfering virus particles (DIPs) are viruses that are defective in a very specific way that allows them to out-compete standard, non-defective virus. It is difficult to count DIPs because they can look too similar to standard virus. So instead, people are counting them based on their effect on suppressing the standard virus population. In this talk, I will explain the basic biology of virus replication, what are DIPs, and how they compete with standard virus. I will present our mathematical model (ordinary differential equation) that describes co-infection competition with DIPs and standard virus. I will use the mathematical model to show how experiments to count DIPs can give incorrect results, and I will propose some solutions.
会場: via Zoom
イベント公式言語: 英語
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セミナー
Speed limit for population dynamics
2021年10月7日(木) 10:00 - 11:00
足立 景亮 (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)
In statistical and quantum physics, the speed limit, i.e., upper bound for change rate, of time-dependent quantities has been discussed. In this talk, I will extend the concept of speed limit to ecological and evolutionary processes by considering the competitive Lotka-Volterra model and the quasi-species model. As an application of the speed limit, I will also discuss the universal constraint for the relaxation at the bifurcation point of such models.
会場: via Zoom
イベント公式言語: 英語