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Graduate Seminar Series

Fri., Mar. 24, 2023 3:30 p.m.

Location: CK 185 and Live Stream

Speaker: Carlos Gabriel Valenzuela Ruiz

Title: On the Double Homology of Moment-Angle Complexes (78 kB)

Abstract:

Persistent homology has become a central object of study in topological data analysis, this construction is stable in some sense, however, when extending this concept to moment-angle complexes we lose that stability. In 2021 Dr. Stanley and collaborators developed the theory of Double Cohomology which solves this stability issue.

In this talk I will introduce some basic concepts from toric topology and the construction of double homology, together with some results that could characterize a special class of simplicial complexes.

Live Stream: