Department of Mathematics

Student Geometry/Topology II

  •   Dualities in Persistent (co)Homology
  •  01/17/2018
  •  4:10 PM - 5:00 PM
  •  C204A Wells Hall
  •  Hitesh Gakhar, MSU

For a filtered topological space, its persistent homology is a multi-set of half open real intervals known as barcode. Each bar represents the lifespan of a homology class. A fundamental principle is that the length of such a bar determines the significance of the corresponding class. In 2011, V. de Silva et al studied the relationships between (persistent) absolute homology, absolute cohomology, relative homology and relative cohomology. This talk will be a theoretical overview of that study.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science