Geometry and Algebra in the Social Sciences
| Reference No. | 2024a014 |
|---|---|
| Type/Category | Grant for General Research-Workshop（Ⅱ） |
| Title of Research Project | Geometry and Algebra in the Social Sciences |
| Principal Investigator | Shigeki Matsutani（Graduate School of Natural Science & Technology, Kanazawa University / Professor） |
| Research Period |
September 11, 2024. - September 14, 2024. |
| Keyword(s) of Research Fields | Conway's Law, Linguistics, Philosophy, Team Topology, Sphere Theory, Graphs, General Topology, Applications of Algebra to Social Sciences, Applications of Geometry to Social Sciences. |
| Abstract for Research Report | This workshop is a sequel and an extension of the "IMI workshop II: Mathematics of Screw Dislocation" held on September 1-2, 2016, the "IMI workshop I: Mathematics in Interface, Dislocation, and Structure of Crystals" held on August 28-30, 2017, the "IMI workshop II: Advanced Mathematical Analysis of Dislocation" held on September 10-11, 2018, "IMI workshop II: Advanced Mathematical Analysis for Dislocation, Interface, and Structure in Crystals" held on September 9-10, 2019, and "IMI workshop II: Geometry and Algebra in Material Science I, II, III, IV" held on September 7-8, 2020, August 30-31, 2021 and September 8-10, 2022, and September 4-5, 2023, The research on applications of geometry and algebra to social sciences (joint research with Eiichi Hanyuda and Kenji Hiranabe: arXiv:2311.10475 "Conway's law", revised from a mathematical viewpoint") was derived from discussions between Shosuke Omori, a participant of the workshop "Geometry and Algebra in Materials Science III" and Matsutani, the organizer. This study is based on the recent research background as geometry and algebra have come to play an important role in the social sciences as well. In particular, "Conway's Law," one of the central themes of this workshop, is a law concerning the geometric structure of software development systems, and has recently attracted the attention of IT engineers in the management of software development systems. As system failures shake the social infrastructure and become a social problem, geometrical considerations are desired by the industrial world for more robust and complicated software development. On the other hand, the relationship between philosophy, linguistics, and mathematics is a current issue, with a linguist publishing papers on the relationship between mathematics and Saussure's term arbitraire (arbitrary), the founder of semiotics, and the researcher who wrote a book on the category theory and phenomenology. Modern languages in IT such as object-oriented programs were developed under the influence of the category theory, and knowledge of linguistic aspects, philosophical aspects (epistemology). The category theory is becoming essential for research and development of advanced IT. However, the distance between mathematics, such as geometry and algebra, and these social sciences and IT is still wide. By bringing together researchers and engineers with knowledge of these fields, it is hoped that the integration of these fields will be promoted and new perspectives will be presented. In particular, it is expected that the discussion on Conway's law will be further accelerated by this workshop. |
| Organizing Committee Members (Workshop) Participants (Short-term Joint Usage) |
Shousuke Ohmori（Gunma National College of Technology / Assistant professor） Hiroyuki Ochiai（Kyushu University / Professor） Osamu Saeki （Kyushu University / Professor） Eiichi Hanyuda, （Mamezou Co. , Ltd. / CTO） Hiroyasu Hamada（National Institute of Technology, Sasebo College / Associate Professor） Kenji Hiranabe, （ESM, Inc. / CTO） Yutaro Kabata（Nagasaki University / Assistant professor） |