Geometry and Algebra in Material Science I
| Reference No. | 20200012 |
|---|---|
| Type/Category | Grant for General Research-Workshop（Ⅱ） |
| Title of Research Project | Geometry and Algebra in Material Science I |
| Principal Investigator | Shigeki Matsutani（Graduate School of Natural Science & Technology, Kanazawa University・Professor） |
| Research Period |
September 7,2020. ～
September 8,2020. |
| Keyword(s) of Research Fields | Crystal, dislocation, crystal lattice structure, interface, topological defect, kink-phenomenon, graph, algebra, geometry, material science |
| Abstract for Research Report |
This conference is a sequel and an extension of the “IMI workshop II: Mathematics of Screw Dislocation” held in September 1-2, 2016, the “IMI workshop I: Mathematics in Interface, Dislocation and Structure of Crystals”held in August 28-30, 2017, the “IMI workshop II: Advanced Mathematical Analysis of Dislocation” held in September 10-11, 2018 and “IMI workshop II: Advanced Mathematical Analysis for Dislocation, Interface and Structure in Crystals” held in September 9-10, 2019. Based on the results of these workshops, this workshop aims at the exchange between material science and mathematics, especially geometry and algebra. The background is that 1) the required product specifications have drastically changed due to the development of technology, 2) the observation equipment has evolved, for example, it has become possible to observe structural disturbances at the atomic level, 3) there are new observations or phenomena that cannot be expressed in terms of the mathematics used in conventional materials science. More advanced mathematics is required as a language of science and technology. In the field of analysis, it seems that the interaction between material scientists and mathematicians has already been carried out, but in the fields of geometry and algebra, the interaction between material scientists and mathematicians was limited. Therefore, the purpose of this workshop is to provide a place for discussions with researchers in materials science and mathematicians related to geometry and algebraic methods, and to provide opportunities for mutual understanding. This is expected to accelerate application studies of geometric and algebraic approaches to material science, which is rapidly needed in material science in the 21st century. Although these new movements have not been established as research fields, they are expected to serve as the foundation and foothold for them. |
| Organizing Committee Members (Workshop) Participants (Short-term Joint Usage) |
Kazutoshi Inoue（Tohoku University AIMR・Lecturer） Osamu Saeki（Kyushu University IMI・Professor, Director） Yutaro Kabata（Kyushu University IMI・Assistant Professor） Ryuichi Tarumi（Osaka University, Graduate School of Engineering Science・Professor） Hisashi Naito（Nagoya University Department of Mathematics・Associate Professor） Junichi Nakagawa（The University of Tokyo・Project Professor） Hiroyasu Hamada（National Institute of Technology, Sasebo College・Associate Professor） |