Geometry and Algebra in Material Science II

Reference No. 20210001
Type/Category Grant for General Research-Workshop(Ⅱ)
Title of Research Project Geometry and Algebra in Material Science II
Principal Investigator Shigeki Matsutani(Graduate School of Natural Science & Technology, Kanazawa University・Professor)
Research Period August 30,2021. ~ August 31,2021.
Keyword(s) of Research Fields Crystal, dislocation, crystal lattice structure, interface, topological defect, kink-phenomenon, graph, algebra, geometry, material science, percolation
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,"IMI workshop II: Advanced Mathematical Analysis for Dislocation, Interface and Structure in Crystals" held in September 9-10, 2019, and "IMI workshop II: Geometry and Algebra in Material Science I" held in September 7-8, 2020.
Based on the results of these conferences, the aim of this conference, as the sequel conference of "Geometry and Algebra in Material Science I" held in last year is to make researchers in materials science, and in geometry and an algebra interact. In this background, there are the facts that 1) the requirements in the industry have been changed drastically due to development of a technology, 2) due to the developments of the observation devices, the critical phenomenon such as the disorder in the atomic level can be observed, and thus 3) the phenomenon which cannot be described well only by the mathematics conventionally used in material science. Although it seems that the interaction among the researchers of materials science and the analysis of mathematics has already been performed well, those among researchers of material science, and algebra and geometry are not sufficient unfortunately. Thus this conference provides the place in which researchers of materials science discuss the mathematical problems appearing in material science with mathematicians of geometry and the algebra, and these mathematicians share their mathematical tools with the researchers of material science.
It is expected that the interaction among the researchers would settle several crucial problems in the fields which have appeared in the 21st century.
We note that we have three papers published as results of these sequel conferences.
Organizing Committee Members (Workshop)
Participants (Short-term Joint Usage)
Hiroyasu Hamada(National Institute of Technology, Sasebo College・Associate Professor)
Kazutoshi Inoue(Tohoku University, AIMR・Lecturer)
Kaname Matsue(Kyushu University, IMI・Assistant Professor)
Hisashi Naito(Nagoya University, Department of Mathematics・Associate Professor)
Junichi Nakagawa(The University of Tokyo Graduate School of Mathematical Science・Project Professor)
Hiroyuki Ochiai(Kyushu University, IMI・Professor)
Osamu Saeki(Kyushu University, IMI・Professor, Director)
Ryuichi Tarumi(Osaka University, Graduate School of Engineering Science・Professor)
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