AIMR Math Group Seminar #10


Date : January 26th (Fri.) 10:00-

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

SpeakerDr. Emerson Gaw Escolar

Title: Matrix problems and computation of persistence diagrams



In persistent homology, the persistence diagram encodes the
births and deaths of topological features of a given input filtration,
and is a very useful tool for topological data analysis. They are
defined from the indecomposable decompositions of persistence modules.
In this talk, we discuss persistence over commutative ladders, a
generalization of these ideas. We give a general introduction to this setting, together with motivations from applications, and present the formalism of matrix problems. We present an algorithm using the matrix formalism for computing indecomposable decompositions of persistence modules over commutative ladders of finite type.




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