MathCCSセミナー 2026/12/03

日時 / Date

2026年12月3日(木)　16:00～17:00 / December 3th (Thu) 2026 16:00–17:00

場所 / Venue

レジリエント社会構築イノベーションセンター３階大会議室 /Main Conference Room, 3rd Floor, Innovation Center for Creation of a Resilient Society

言語 / Language

日本語/ Japanese (slides in English)

Speaker

井上和俊（東北大学AIMR）/ Kazutoshi Inoue (Tohoku University AIMR)

Title

A Discrete Differential-Geometric Formalism for Lattice-Defect Mechanics

Abstract

Continuum theories of crystalline defects, often formulated within differential geometry, successfully describe their long-range elastic fields. Extending such a geometric description to the atomic lattice scale is not straightforward because finite-difference operators do not satisfy the ordinary Leibniz rule. Here, we develop a discrete differential-geometric framework that captures intrinsic lattice-scale effects while recovering conventional differential geometry in the continuum limit, thereby providing a mathematical bridge between continuum defect theory and atomically discrete descriptions of crystalline materials.