講演会・レクチャー
32 イベント
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講演会・レクチャー
Higher Algebra in Geometry
2023年7月31日(月) - 8月10日(木)
Hiro Lee Tanaka (Assistant Professor, Department of Mathematics, Texas State University, USA)
In these lectures, we will shed light on modern tools of higher algebra, where the traditional structures of algebra yield themselves only after controlled deformations. We will introduce infinity-categories, spectra, operads, and other standard tools of the last decade. The main applications will be to encode various higher-algebraic structures that inevitably arise in, and shed light on, geometry and topology. If time permits, we will illustrate how spectra naturally arise in geometric invariants. The audience is imagined to consist of mathematicians interested in applications of infinity-categorical tools -- so a broad range of geometers (including topologists) and algebraists. From Lecture Two onward, I will assume basic knowledge of algebraic topology (e.g., the material of Hatcher) and homological algebra. These lectures will be held between July 31 and August 10, each from 10:30 to 12:00, for a total of 8 lectures. 1st Week: Jul 31(mon), Aug 1(tue) - 3(thu) - Introduction to ideas of higher algebra in geometry, for a general audience. - Introduction to infinity-categories and to spectra. 2nd Week: Aug 7(mon) - 10(thu) - Examples in geometry and topology, including invariants of Legendrian links and generating functions. - Future Directions. Profile: Hiro Lee Tanaka is an assistant professor in the Department of Mathematics. After receiving his Ph.D. from Northwestern University and completing postdoctoral work at Harvard University, he conducted research at the Mathematical Sciences Research Institute in Berkeley, California, and at the Isaac Newton Institute in Cambridge, England. His research aims to fuse the higher structures in modern algebra with geometries emerging from both classical mechanics and supersymmetric field theories. Beyond research, Tanaka engages in efforts to create more equitable and supportive environments throughout the mathematics community.
会場: 研究本館 4階 435-437号室 / via Zoom
イベント公式言語: 英語
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講演会・レクチャー
3rd QGG Intensive Lectures: Spinfoam path integrals for Quantum Gravity
2023年7月26日(水) - 28日(金)
Etera Livine (Research Director CNRS, Ecole Normale Supérieure de Lyon, France)
At the crossroads of several approaches to quantum gravity, Spinfoams propose a discrete path integral for quantum general relativity built from topological field theory. With the spectrum of geometric operators directly read from the representation theory of the local symmetry group, they can be interpreted as a quantized version of Regge calculus and can be understood as implementing the dynamics of quantum states geometry in loop quantum gravity. I will explain the basics of the formalism, the motivations, the mathematical framework and the main tools. In three space-time dimensions, the spinfoam quantization of 3d gravity is given by the Turaev-Viro topological invariant, which is intimately related to the quantization of Chern-Simons theory. I will explain in particular how the spinfoam amplitudes solve the Wheeler-de Witt equation, implement the invariance under 3d diffeomorphisms (despite being formulated in a discretized space-time) and lead to a quasi-local version of holography. In four space-time dimensions, general relativity can be formulated as an almost-topological theory and I will explain how the existing spinfoam models introduce a sea of topological defects to re-create the gravitational degrees of freedom from a topological path integral. Finally, I will show how spinfoams are naturally defined in terms of group field theory, which are generalized tensor models, and the prospects that this opens. I will conclude with the main challenges and open lines of research of the field. Program: July 26 10:00 - 10:15 Registration and reception 10:15 - 11:45 Lecture 1 11:45 - 13:30 Lunch & coffee break 13:30 - 15:00 Lecture 2 15:00 - 16:00 Coffee break 16:00 - 17:00 Lecture 3 17:10 - 18:30 Short talk session July 27 10:00 - 11:45 Lecture 4 11:45 - 13:30 Lunch & coffee break 13:30 - 15:00 Lecture 5 15:00 - 16:00 Coffee break 16:00 - 17:00 Lecture 6 17:30 - 20:00 Banquet July 28 10:00 - 11:45 Lecture 7 11:45 - 13:30 Lunch & coffee break 13:30 - 15:00 Lecture 8 15:00 - 16:00 Coffee break 16:00 - 17:30 Lecture 9 & Closing
会場: 研究本館 4階 435-437号室
イベント公式言語: 英語
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講演会・レクチャー
NU-Q-iTHEMS-YITPレクチャー：量⼦計算の場の量⼦論への応⽤
2023年7月6日(木) - 7日(金)
本多 正純 (京都大学 基礎物理学研究所 助教)
量子計算の場の量子論の数値シミュレーションへの応用について、入門的な解説を行う。まず量子計算の基礎的な部分を解説した後に、量子計算のスピン系のシミュレーションへの応用について議論する。その後連続的場の量子論・および格子上の場の量子論に関する入門的な解説を行い、場の量子論のシミュレーションについて議論する。また、IBM qiskitを用いた量子シミュレーションの実習も行う。 実習参加者への注意： 実習に使うノートPCの貸出はないので、ご持参するようお願いします。 予めAnacondaなどを導入するなどして、Jupyter Notebookを使えるように環境を整えておくようお願いいたします。 主催：新潟⼤学量⼦研究センター (NU-Q)、 京都⼤学基礎物理学研究所 (YITP) 共催：理化学研究所 数理創造プログラム (iTHEMS)
会場: 新潟大学 理学部A棟 A317号室（大会議室） / via Zoom
イベント公式言語: 日本語
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講演会・レクチャー
2nd QGG Intensive Lectures: Large gauge transformation and infrared regularity in the inflationary universe
2023年6月19日(月) - 20日(火)
田中 貴浩 (京都大学 大学院理学研究科 物理学・宇宙物理学専攻 教授)
In this lecture we will start with the general framework to analyse the density perturbation in the inflationary universe. Then, we will introduce various infrared (IR) phenomena, including IR divergences, delta N formalism and consistency relation. The underlying symmetry originally coming from 3D diffeomorphism invariance leads us to a harmonic and unified understanding of these phenomena. Program: June 19 10:00 - 10:15 Registration and reception (with coffee) 10:15 - 11:45 Lecture 1 11:45 - 13:30 Lunch & coffee break 13:30 - 15:00 Lecture 2 15:00 - 16:00 Coffee break 16:00 - 17:30 Lecture 3 17:45 - 18:30 Short talk session June 20 10:00 - 10:15 Reception (with coffee) 10:15 - 11:45 Lecture 4 11:45 - 13:30 Lunch & coffee break 13:30 - 15:00 Lecture 5 15:00 - 16:00 Coffee break 16:00 - 17:30 Lecture 6 17:30 - 18:30 Discussions & Closing
会場: 研究本館 5階 535-537号室
イベント公式言語: 英語
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講演会・レクチャー
Introduction to the Quantum Theory of Gravity via Asymptotic Safety
2023年1月24日(火) - 26日(木)
太田 信義 (Visiting Professor, Department of Physics, National Central University, Taiwan)
We give an introduction to the formulation towards the quantum theory of gravity using the functional (or exact) renormalization group, the so-called asymptotic safety. First we briefly explain the necessity of quantization of gravity and why the Einstein gravity is not sufficient for this purpose. Second, we introduce the functional renormalization group equation and explain what is the asymptotic safety program to achieve the quantum theory of gravity. This includes the notion of relevant, irrelevant and marginal operators, and it is important that there are finite number of relevant operators to make any prediction of quantum effects. This gives a nonperturbatively renormalizable theory of gravity. We then discuss various examples how the program may be applied to various theories, and summarize the current status of this approach. (Tentative schedule) [Day 1: Jan. 24, 2023] Free discussion: 9:30 - 10:30 Lecture 1: 10:30 - 12:00 Lunch: 12:00 - 13:30 Lecture 2: 13:30 - 15:00 Break: 15:00 - 15:30 Lecture 3: 15:30 - 17:00 [Day 2: Jan. 25, 2023] Free discussion: 9:30 - 10:30 Lecture 4: 10:30 - 12:00 Lunch: 12:00 - 13:30 Lecture 5: 13:30 - 15:00 Break: 15:00 - 15:30 Lecture 6: 15:30 - 17:00 [Day 3: Jan. 26, 2023] Q&A + discussion: 9:30 - 15:00
会場: 研究本館 5階 535-537号室
イベント公式言語: 英語
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講演会・レクチャー
An Introduction to Quantum Measurement Theory for Physicists
2022年11月10日(木) - 12日(土)
堀田 昌寛 (東北大学 大学院理学研究科物理学専攻 助教)
In this lecture, basic concepts in quantum measurement theory are introduced, including measurement operators and POVM's. The related topics are also picked up. Lecture 1: Nov. 10, 10:30 - 12:00 Lecture 2: Nov. 10, 13:30 - 15:00 Lecture 3: Nov. 10, 15:30 - 17:00 Lecture 4: Nov. 11, 10:30 - 12:00 Lecture 5: Nov. 11, 13:30 - 15:00 Lecture 6: Nov. 12, 10:30 - 12:00
会場: 研究本館 3階 345−347号室 (メイン会場) / via Zoom
イベント公式言語: 英語
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講演会・レクチャー
Introduction to Topological Insulators: From Quantum to Classical Physics 4
2022年4月27日(水) 15:00 - 17:00
小澤 知己 (東北大学 材料科学高等研究所 (AIMR) 准教授)
In this set of lectures, I give an introduction to topological insulators. A goal is to provide an overall understanding of basic concepts of the physics of topological insulators to mathematicians and physicists with no prior knowledge on the subject. Very roughly speaking, topological insulators are materials whose wavefunctions show nontrivial topological structure in momentum space. Materials with topologically nontrivial wavefunction in momentum space have been found to host modes which are localized at the surface (edge) of the material: a property known as the bulk-edge correspondence. The bulk-edge correspondence results in experimentally observable signature of somewhat abstract notion of topology of the wavefunction in momentum space. Originally, topological insulators were found and studied for electrons in solid-state materials, which are quantum mechanical. However, certain properties of topological insulators, including the bulk-edge correspondence, have been found to hold also for purely classical materials, such as electromagnetic waves obeying Maxwell’s equations, or waves described by Newtonian mechanics. I will try to introduce topological insulators in a way general enough to be applied to quantum as well as classical materials. In the final part of the lectures, I take this opportunity to discuss some of my own works, where I studied some relations between the two-dimensional topological insulators and Kähler geometry.
会場: via Zoom
イベント公式言語: 英語
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講演会・レクチャー
Introduction to Topological Insulators: From Quantum to Classical Physics 3
2022年4月21日(木) 15:00 - 17:00
小澤 知己 (東北大学 材料科学高等研究所 (AIMR) 准教授)
In this set of lectures, I give an introduction to topological insulators. A goal is to provide an overall understanding of basic concepts of the physics of topological insulators to mathematicians and physicists with no prior knowledge on the subject. Very roughly speaking, topological insulators are materials whose wavefunctions show nontrivial topological structure in momentum space. Materials with topologically nontrivial wavefunction in momentum space have been found to host modes which are localized at the surface (edge) of the material: a property known as the bulk-edge correspondence. The bulk-edge correspondence results in experimentally observable signature of somewhat abstract notion of topology of the wavefunction in momentum space. Originally, topological insulators were found and studied for electrons in solid-state materials, which are quantum mechanical. However, certain properties of topological insulators, including the bulk-edge correspondence, have been found to hold also for purely classical materials, such as electromagnetic waves obeying Maxwell’s equations, or waves described by Newtonian mechanics. I will try to introduce topological insulators in a way general enough to be applied to quantum as well as classical materials. In the final part of the lectures, I take this opportunity to discuss some of my own works, where I studied some relations between the two-dimensional topological insulators and Kähler geometry.
会場: via Zoom
イベント公式言語: 英語
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講演会・レクチャー
Introduction to Topological Insulators: From Quantum to Classical Physics 2
2022年4月14日(木) 15:00 - 17:00
小澤 知己 (東北大学 材料科学高等研究所 (AIMR) 准教授)
In this set of lectures, I give an introduction to topological insulators. A goal is to provide an overall understanding of basic concepts of the physics of topological insulators to mathematicians and physicists with no prior knowledge on the subject. Very roughly speaking, topological insulators are materials whose wavefunctions show nontrivial topological structure in momentum space. Materials with topologically nontrivial wavefunction in momentum space have been found to host modes which are localized at the surface (edge) of the material: a property known as the bulk-edge correspondence. The bulk-edge correspondence results in experimentally observable signature of somewhat abstract notion of topology of the wavefunction in momentum space. Originally, topological insulators were found and studied for electrons in solid-state materials, which are quantum mechanical. However, certain properties of topological insulators, including the bulk-edge correspondence, have been found to hold also for purely classical materials, such as electromagnetic waves obeying Maxwell’s equations, or waves described by Newtonian mechanics. I will try to introduce topological insulators in a way general enough to be applied to quantum as well as classical materials. In the final part of the lectures, I take this opportunity to discuss some of my own works, where I studied some relations between the two-dimensional topological insulators and Kähler geometry.
会場: via Zoom
イベント公式言語: 英語
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講演会・レクチャー
Introduction to Topological Insulators: From Quantum to Classical Physics 1
2022年4月7日(木) 15:00 - 17:00
小澤 知己 (東北大学 材料科学高等研究所 (AIMR) 准教授)
In this set of lectures, I give an introduction to topological insulators. A goal is to provide an overall understanding of basic concepts of the physics of topological insulators to mathematicians and physicists with no prior knowledge on the subject. Very roughly speaking, topological insulators are materials whose wavefunctions show nontrivial topological structure in momentum space. Materials with topologically nontrivial wavefunction in momentum space have been found to host modes which are localized at the surface (edge) of the material: a property known as the bulk-edge correspondence. The bulk-edge correspondence results in experimentally observable signature of somewhat abstract notion of topology of the wavefunction in momentum space. Originally, topological insulators were found and studied for electrons in solid-state materials, which are quantum mechanical. However, certain properties of topological insulators, including the bulk-edge correspondence, have been found to hold also for purely classical materials, such as electromagnetic waves obeying Maxwell’s equations, or waves described by Newtonian mechanics. I will try to introduce topological insulators in a way general enough to be applied to quantum as well as classical materials. In the final part of the lectures, I take this opportunity to discuss some of my own works, where I studied some relations between the two-dimensional topological insulators and Kähler geometry.
会場: via Zoom
イベント公式言語: 英語
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講演会・レクチャー
Public Lecture for Darwin Day
2021年2月17日(水) 9:00 - 10:00
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, Ryerson University, Canada)
Japan, February 17, 2021, 09:00 AM JST Canada/USA, Feb 16, 2021, 07:00 PM Eastern Time Through mutations and genetic reassortment, a virus can mutate and the resulting virus variants can evade our drugs, our vaccines, and our body's own immune response. Using specific viruses like influenza, HIV or SARS-CoV-2 (the virus responsible for COVID-19) as examples, I will introduce the basics of how viruses replicate, and the processes via which mutations arise. *Detailed information about the seminar refer to the Prof. Beauchemin’s email.
会場: via Zoom
イベント公式言語: 英語
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講演会・レクチャー
量子コンピュータ実用化に向けて
2020年12月4日(金) 10:30 - 12:00
松浦 俊司 (数理創造プログラム 客員研究員 / Fundamental Researcher, Quantum Simulation Division, 1QBit, Canada)
量子コンピュータは古典コンピュータとは異なる原理に基づいて動いており、自然科学を含む様々な分野において大きな変化をもたらすと考えられている。特にこの数年の進展は著しく、量子計算の古典計算に対する優位性が実験的に初めて示されるなど、期待されているマイルストーンが着実に達成されていっている。一方で量子コンピュータの発展において常に障害となっているのがノイズである。量子状態はノイズの影響を受けやすく、現在の量子コンピュータにおいては量子ゲート操作を行うごとに状態の精度が減衰していってしまう。そのため、量子コンピュータにかける負担をできるだけ減らすようなアルゴリズムの開発や、計算結果からエラーを取り除く方法、観測回数をできるだけ減らす方法等、様々な研究が行われている。本講義ではこれら量子コンピュータの実用化に向けた最近の研究と今後の課題について話す。
会場: via Zoom
イベント公式言語: 日本語
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講演会・レクチャー
奈良女子大学 理学部共通科目 連続講義 「現代科学の最前線 ー 数学・宇宙・物質・生命・情報のフロンティア ー」
2020年10月2日(金) 16:20 - 17:50
初田 哲男 (数理創造プログラム プログラムディレクター)
小鳥居 祐香 (数理創造プログラム 客員研究員 / 広島大学学術院 大学院先進理工系科学研究科 数学プログラム 准教授 / 理化学研究所 革新知能統合研究センター (AIP) 数理解析チーム 客員研究員)
長瀧 重博 (数理創造プログラム 副プログラムディレクター / 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 主任研究員)
仁尾 真紀子 (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 上級研究員)
入谷 亮介 (数理創造プログラム 研究員)
新津 藍
大塚 成徳 (数理創造プログラム 研究員 / 理化学研究所 計算科学研究センター (R-CCS) データ同化研究チーム 研究員)
湯川 英美 (東京理科大学 理学部第一部 物理学科 助教)1回目 2002年10月2日 初田 哲男「数理が開く科学の扉」 2・3回目 10月9日、10月16日 小鳥居 祐香「空間の形を見る」 4・5回目 10月23日、10月30日 長瀧 重博「巨大星の爆発と中性子星・ブラックホール」 6・7回目 11月6日、11月13日 仁尾 真紀子「素粒子物理学へようこそ」 8・9回目 11月20日、11月27日 入谷 亮介「自然淘汰による進化とゲーム理論」 10・11回目 12月4日、12月11日 新津 藍「自然から習うものづくり--合成生物学入門--」 12・13回目 12月18日、2021年1月8日 大塚 成徳「天気予報の科学--気象学とコンピュータシミュレーション--」 14・15回目 2021年1月22日、1月29日 湯川 英美「極限の世界を拓く量子センシング」
会場: Changed to Zoom
イベント公式言語: 日本語
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講演会・レクチャー
市民講演会「数学と量子材料のコラボ！」
2020年9月29日(火) 19:00 - 20:30
西森 秀稔 (数理創造プログラム 客員主管研究員 / 東京工業大学 特任教授)
小澤 知己 (数理創造プログラム 客員研究員 / 東北大学 材料科学高等研究所 (AIMR) 准教授)理化学研究所（理研）と東北大学は、2019年3月20日に連携・協力の推進に関する基本協定を締結し、数理科学、テラヘルツ光科学、放射光科学、人工知能といった、両機関の強みである研究分野・研究課題を軸として連携研究を進めています。なかでも数理科学研究においては、東北大学・片平キャンパスに連携拠点・SUURI-COOL Sendaiを展開するなど、連携研究のネットワークが広がっております。 このたび、高校生以上を対象として、トポロジーや量子コンピュータといった数学・物理学の最先端の話題をわかりやすく紹介する市民講演会「数学と量子材料のコラボ！」を開催します。 理研 数理創造研究プログラム（iTHEMS）の研究者でもある、東北大学 材料科学高等研究所（AIMR）の小澤知己准教授と東京工業大学 科学技術創成研究院の西森秀稔特任教授がそれぞれ講演いたします。 プログラム 19:00-19:45 「物理学とトポロジー：半導体・地球物理から生命現象まで」 小澤知己（東北大学AIMR准教授・ジュニア主任研究者、理化学研究所iTHEMS兼任） 19:45-20:30 「量子力学とそれを使った計算の話」 西森秀稔（東京工業大学特任教授、理化学研究所 iTHEMS・東北大学情報科学研究科兼任） 詳細およびイベントの申し込みは、関連リンクよりご参照ください。
会場: via Online
イベント公式言語: 日本語
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講演会・レクチャー
iTHEMS Intensive Course [5] : "Adaptive strategies of organisms, their mathematical bases" - Evolution of cooperation
2020年6月26日(金) 13:30 - 15:00
巌佐 庸 (数理創造プログラム 特別顧問 / 関西学院大学 教授 / 九州大学 名誉教授)
Living systems exhibit features distinct from nonliving physical systems: their structure and behaviors appear to be chosen adaptive. They are the outcomes of evolution. Mathematical formalisms developed in engineering and social sciences (e.g. control theory, game theory, evolutionary game theory) are sometimes very useful in biology.
会場: via Zoom
イベント公式言語: 英語
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講演会・レクチャー
iTHEMS Intensive Course [3] : "Adaptive strategies of organisms, their mathematical bases" - Masting, synchronized reproduction of trees: Coupled chaotic system
2020年6月25日(木) 13:30 - 14:30
巌佐 庸 (数理創造プログラム 特別顧問 / 関西学院大学 教授 / 九州大学 名誉教授)
Living systems exhibit features distinct from nonliving physical systems: their structure and behaviors appear to be chosen adaptive. They are the outcomes of evolution. Mathematical formalisms developed in engineering and social sciences (e.g. control theory, game theory, evolutionary game theory) are sometimes very useful in biology.
会場: via Zoom
イベント公式言語: 英語
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講演会・レクチャー
iTHEMS Intensive Course [2] : "Adaptive strategies of organisms, their mathematical bases" - Dynamic optimization models for growth and reproduction
2020年6月19日(金) 13:30 - 15:00
巌佐 庸 (数理創造プログラム 特別顧問 / 関西学院大学 教授 / 九州大学 名誉教授)
Living systems exhibit features distinct from nonliving physical systems: their structure and behaviors appear to be chosen adaptive. They are the outcomes of evolution. Mathematical formalisms developed in engineering and social sciences (e.g. control theory, game theory, evolutionary game theory) are sometimes very useful in biology.
会場: via Zoom
イベント公式言語: 英語
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講演会・レクチャー
iTHEMS Intensive Course [1] : "Adaptive strategies of organisms, their mathematical bases" - Sex expression and sex allocation of marine organisms
2020年6月18日(木) 13:30 - 15:00
巌佐 庸 (数理創造プログラム 特別顧問 / 関西学院大学 教授 / 九州大学 名誉教授)
Living systems exhibit features distinct from nonliving physical systems: their structure and behaviors appear to be chosen adaptive. They are the outcomes of evolution. Mathematical formalisms developed in engineering and social sciences (e.g. control theory, game theory, evolutionary game theory) are sometimes very useful in biology.
会場: via Zoom
イベント公式言語: 英語
32 イベント