Geometry and Algebra in Material Science IV
| Reference No. | 2023a008 |
|---|---|
| Type/Category | Grant for General Research-Workshop（Ⅱ） |
| Title of Research Project | Geometry and Algebra in Material Science IV |
| Principal Investigator | Shigeki Matsutani（Graduate School of Natural Science & Technology, Kanazawa University・Professor） |
| Research Period |
September 4,2023. ～
September 5,2023. |
| Keyword(s) of Research Fields | Crystal, dislocation, crystal lattice structure, interface, topological defect, kink-phenomenon, graph, algebra, geometry, number theory, carbon, fullerene, material science, percolation, submanifold quantum effect, technology and mathematics, Riemannian geometry, |
| 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" held on September 7-8, 2020, August 30-31, 2021 and September 8-10. Based on the results of these workshops, and in particular continuing the "Geometry and Algebra in Materials Science I, II, and III" that has been conducted since 2020, this workshop aims at the interaction between materials science and geometry and algebra. This aim is due to the following reasons: 1. Technological development has drastically changed the specifications required by the industry. 2. For example, observation and preparation equipment development has enabled the control and observation of structures at the atomic level. 3. The phenomena cannot be described well only by the mathematics conventionally used in material science.: In the field of Analysis, it seems that there is already an interaction between materials scientists and mathematicians. However, the interaction between materials scientists and mathematicians is still limited in geometry and algebra. In addition, advanced use of mathematics by geometers and algebraists is desired for the phenomena related to geometry and algebra. Therefore, the purpose of this meeting is to provide a forum for discussion between researchers in materials science and those in geometry and algebra and to provide an opportunity for mutual understanding. It is expected to accelerate research related to the adaptation of geometry and algebra to materials science, rapidly becoming necessary in materials science in the 21st century. Although these new movements are not yet in full swing as a research field, it is hoped that this meeting will serve as a foundation and foothold for them. Three papers have already been published as a result of the series of meetings, and some results have been obtained in the geometrical study of new fullerene materials. This workshop will accelerate further development.. |
| Organizing Committee Members (Workshop) Participants (Short-term Joint Usage) |
Yuta Ogata（Kyoto Sangyo University・Associate Professor） Hiroyuki Ochiai（Kyushu University ・Professor） Yutaro Kabata（Nagasaki University・Assistant Professor） Osamu Saeki（Kyushu University ・Professor） Kaname Matsue（Kyushu University・Associate Professor） Hiroyasu Hamada（National Institute of Technology, Sasebo College・Associate Professor） |