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SUMMARY:Introduction to persistent Floer homology - Adrian Dawid
DTSTART:20240206T130000Z
DTEND:20240206T140000Z
UID:TALK211681@talks.cam.ac.uk
CONTACT:Adrian Dawid
DESCRIPTION:Persistence homology is a tool originally developed in topolog
 ical data analysis. Nowadays\, it has also found many successfully applica
 tions in symplectic topology. In the first part of the talk\, we introduce
  the concepts of persistence modules and barcodes. In the second part\, we
  will focus on Floer theory in this context. Many flavors of Floer homolog
 y come with a natural filtration that gives rise to a persistence structur
 e. We will see how spectral invariants can be interpreted in this language
 . Further\, we explain some stability properties of the resulting Floer ba
 rcode under perturbations of the data. If time permits\, we will present s
 ome of the difficulties arising from the usage of coefficients in Novikov 
 fields.
LOCATION:MR10
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