■Title : Non-interpenetration of Matter in Lower-Dimensional Structures
■Place : IMI Auditorium(W1-D-413) and Live streaming with Zoom
■Speaker : Martin Kružík (The Czech Academy of Sciences/The Czech Technical University in Prague)
■Attendance: 28(Students: 9; Staff: 16;Others:3)

During Professor Kružík’s stay in Japan, we held an additional colloquium when he visited Fukuoka to discuss joint researches with Associate Professor Cesana of IMI, Kyushu University. In his lecture, Professor Kružík introduced the well-known theme, non-interpenetration, on solid elastic materials, which is one of the research topics he is working on. In his lecture, based on the relationship between non-interpenetration of materials and the injectivity of solid material deformation in bulk structures, he introduced the results obtained by focusing on both analytical and geometric aspects when solid elastic materials have low-dimensional structures, especially rod-shaped materials in a plane. The results obtained by Professor Kružík and his colleagues were evaluated with a focus on the \Gamma limit of the target energy functional, under the assumption the allowable deformation of the material to be a homeomorphic mapping. It was interesting that a rigorous evaluation was obtained from the mathematical point of view for the real phenomenon of non-interpenetration of materials, although under certain assumptions. In addition, during his three-day stay at Kyushu University,
Professor Kružík gave us lectures on related topics, and we had a fruitful research exchange.