Volume 60
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Volume 60
July 5, 2019
Seminar Report
Math seminar by Hiroki Kodama
2019-07-04
Hiroki Kodama had a seminar talk in the iTHEMS math seminar on 20 June. The topic was the foundation of metric space and its generalizations. Metric space is one of the most primitive setting of geometry. This notion is defined in an abstract way by metric function satisfying 3 axioms. Not only the Euclidean metric, which is familiar for all of us, many ideas arising all over the science (e.g. the distance of two DNAs) are formulated as a kind of metric. A main interest of this seminar was a generalization of metric space, which is less popular even for mathematicians. A function satisfying the axioms of metric space except for the symmetry axiom d(x,y)=d(y,x) is called an asymmetric metric (a typical example is the cost for a ship on a river to move from one point to another). In the first half of the talk, Kodama introduced the basic notion of (asymmetric) metric spaces with various examples. In the second half, he introduced an interest of asymmetric metric space by showing rich information it includes.
Asymmetric metric and coarse geometry
June 20 (Thu) at 16:00 - 18:10, 2019
Upcoming Events
Workshop
RIKEN-OIST mini Workshop 2019 "Mathematical Condensed Matter Physics"
July 5 (Fri) - 6 (Sat), 2019
Topics: Boson-Fermion duality, Operator product expansion, Random matrix
Lecturers:
Takuya Furusawa (TIT/RIKEN)
Yuta Sekino (RIKEN)
Shinobu Hikami (OIST)
Organizers:
Masahiro Nozaki (RIKEN) Chair person
Masaru Hongo (Keio Univ./RIKEN)
Kanato Goto (RIKEN)
Hidehiko Shimada (OIST)
Venue: Okinawa Institute of Science and Technology Graduate University (OIST)
Event Official Language: English
Workshop
SOKENDAI-iTHEMS Joint Workshop "Genetics meets Mathematics"
July 7 (Sun) - 8 (Mon), 2019
Jeffrey Fawcett (Senior Research Scientist, iTHEMS)
7月7,8日に総研大葉山キャンパス近くの研修施設レクトーレ葉山にて遺伝・進化の研究者と数学・物理の研究者の交流を深めることを目的としたインフォーマルなワークショップを開催します。
生物の知識が全くない（主に数学・物理の）研究者を対象とした、生命の分子レベルでの多様性を説明しうる集団遺伝や分子進化の理論などに関するレクチャーを行います。また、今後の相互作用の可能性がありそうなテーマに取り組む数学・物理の研究者にも講演していただきます。
参加費・宿泊費は無料（懇親会費を頂く場合があります）で、前日の7/6と7/7に会場の宿泊施設に泊まることが可能です。プログラムの詳細は今後変更する場合があります。
登録締切：6/24
（宿泊者数に限りがあるため早めに締め切る場合があります）
Organizers: Jeffrey Fawcett (RIKEN iTHEMS), Tetsuo Hatsuda (RIKEN iTHEMS), Shohei Takuno (SOKENDAI), Hideki Innan (SOKENDAI)
Venue: LecTore Hayama
Event Official Language: Japanese
Workshop
Workshop on Sine-square deformation and related topics 2019
July 11 (Thu) at 10:00 - 18:00, 2019
Colloquium
The 9th MACS Colloquium
July 12 (Fri) at 16:15 - 18:50, 2019
Makoto Fujita (Professor, Department of Applied Chemistry, Graduate School of Engineering, The University of Tokyo)
Kazutoshi Mori (Professor, Department of Biophysics, Division of Biological Sciences, Graduate School of Science, Kyoto University)
16:15- Teatime
16:30- Talk by Prof. Makoto Fujita
17:50- Talk by Prof. Kazutoshi Mori
The 9th MACS colloquium supported by iTHEMS. It will be broadcasted to Wako, but if you can join the colloquium physically in Kyoto, that would be better. iTHEMS provides good confectionery at Kyoto!
Venue: Lecture room #401, Graduate School of Science Building No 6, Kyoto University
Event Official Language: Japanese
External Event
Interstellar Memes
July 25 (Thu) at 20:00 - 21:30, 2019
Don Warren (Research Scientist, iTHEMS)
Memes are to cultures what genes are to people: ideas, behaviors, or styles that are transmitted within the culture and can propagate or die out. The universe is a big place. How much of it knows about Grumpy Cat? Tale of Genji? Earth?
Cost: JPY1,500 including a drink
Venue: Good Heavens Bar (2F 5-32-5 Daizawa, Setagaya-ku, Tokyo 155-0032)
Event Official Language: English
Workshop
RIMS-iTHEMS joint WS on "Math of Jets"
July 29 (Mon) - 31 (Wed), 2019
Co-hosted by RIMS Kyoto University and iTHEMS RIKEN.
Venue: Kyoto University, Main Campus Research Bldg No 15, #201
Event Official Language: Japanese
Lecture
SUURI-COOL (Kyushu) Lecture
July 31 (Wed) - August 2 (Fri), 2019
Takumi Doi (Senior Research Scientist, iTHEMS / Senior Research Scientist, Quantum Hadron Physics Laboratory, RIKEN Nishina Center for Accelerator-Based Science (RNC))
SUURI-COOL (Kyushu) at the Ito-campus of Kyushu Univ. will be launched on July 31, 2019. As a first event at SUURI-COOL (Kyushu), the following lecture by Takumi Doi (RIKEN Nishina Center/iTHEMS) will be held. Feel free to join if you will be around Ito-campus.
Nuclei, many-body systems of baryons as protons and neutrons, are ultimately consist of elementary particles of quarks and gluons and their properties are governed by quantum chromodynamics (QCD). Recently, a new theoretical method is developing in lattice QCD, the first-principles calculation of QCD, and the new era is dawning where nuclear physics is constructed directly based on QCD. In this lecture, I first introduce the formulation of lattice QCD.
I will then discuss the theoretical foundation and the latest numerical results about the lattice QCD study of hadron interactions, the key quantities to construct nuclear physics from QCD. I will also give a lecture on computational science, in particular, about supercomputers.
Venue: SUURI-COOL (Kyushu), Ito Campus, Kyushu University
Event Official Language: English
Workshop
Math-Life Workshop
August 19 (Mon) - 20 (Tue), 2019
Organizers
Masaharu Nagayama (MSC, Hokkaido Univ.)
Tetsuo Hatsuda (iTHEMS, RIKEN)
Hiroshi Suito (AIMR, Tohoku Univ.)
Takayuki Sakajyo (SACRA, Kyoto Univ.)
Venue: 1F Seminar Room, Frontier Research in Applied Sciences Building, Hokkaido Univ.
Event Official Language: Japanese
Upcoming Visitors
July 1 (Mon) - 31 (Wed), 2019 Pei-Ming HoDistinguished Professor, Department of Physics, National Taiwan University, Taiwan Visiting Place: #158, 1F, Main Research Building |
July 5 (Fri) - 11 (Thu), 2019 Shinsei RyuAssociate Professor, Department of Physics and the College, The University of Chicago, USA Visiting Place: #157, 1F, Main Research Building |
Featured Paper of the Week
Rigidity of the mod 2 families Seiberg-Witten invariants and topology of families of spin 4-manifolds
2019-07-04
After the early 1980s, gauge theory has been used by mathematicians to study 4-dimensional spaces (manifolds). The hottest mathematical subject studied by gauge theory is a sort of difference between the shape of topological (continuous) 4-dimensional manifold and that of smooth 4-dimensional manifold. On the other hand, in most of mathematical areas, it is quite significant to understand symmetry of a given mathematical object, such as a manifold. However, about the space of all symmetries of a 4-dimensional manifold, only few things have been known. In this paper, we study the spaces of symmetries of 4-dimensional manifolds. We revealed that gauge theory (more precisely Seiberg-Witten theory) can extract some difference between the shape of the space of symmetries of a topological 4-dimensional manifold and that of a smooth 4-dimensional manifold. In addition to gauge theory, we also used some classical but deep results in higher-dimensional topology invented 50 years ago. Such a combination of gauge theory with classical results in topology is also a new and interesting direction of this paper.
Reference:
Tsuyoshi Kato, Hokuto Konno, Nobuhiro Nakamura
"Rigidity of the mod 2 families Seiberg-Witten invariants and topology of families of spin 4-manifolds"
arXiv: 1906.02943
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