AIMR Math Group Seminar #15


Date : March 16th (Fri.) 10:00-

Place:3C, AIMR Main Bldg., Katahira campus, Tohoku University

SpeakerDr. Fumiko Ogushi

Title: Structural features of grain boundaries



Polycrystalline materials are ubiquitous. In such systems, geometrical mismatches (grain boundary) influence the macroscopic properties.However, the standard (and usual) measurements of grain boundary geometry are insufficient to evaluate the topological features of the boundary.
Can we uniformly and uniformly distinguish the difference between bulk and boundaries? As a first step, we analyze the symmetric tilt grain boundaries using persistent homology and evaluate the structural difference as the difference between their persistent diagrams.





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