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Seminars

Seminar
FIELD Mathematics
DATE May 12 (Thu), 2022
TIME 14:00-15:00
PLACE Online
SPEAKER Lee, Kang-Ju
HOST Lee, Taehun
INSTITUTE Research Institute of Mathematics in Seoul National University
TITLE Simplicial networks and Laplacians for higher-order interactions
ABSTRACT Pairwise interactions between two vertices are encoded in edges of graph networks. However, these edges are not sufficient to describe a wide variety of interactions arising from the world around us. Recently, faces in simplicial complexes have been employed to represent interactions among more than two vertices, which have shown various applications in several areas. In this talk, I will introduce where higher-order interactions emerge and explain a simplicial generalization of graph Laplacians as a tool for analyzing simplicial networks.
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