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SUMMARY:Algebraic stability of zigzag persistence modules
DTSTART:20160609T101500
DTEND:20160609T113000
DTSTAMP:20260407T033953Z
UID:eb3d8916ad50f161dd90753c93c91b1307b54d5a340ae157491f0550
CATEGORIES:Conferences - Seminars
DESCRIPTION:Magnus Bakke Botnan (TU Munich)  \n\n	 \nThe stability theor
 em for persistent homology is a central result in topological data analysi
 s. While the original formulation of the result concerns the persistence b
 arcodes of R-valued functions\, the result was later cast in a more genera
 l algebraic form\, in the language of persistence modules and interleaving
 s. In this talk\, we discuss an analogue of this algebraic stability theor
 em for zigzag persistence modules. To do so\, we functorially extend each 
 zigzag persistence module to a two-dimensional persistence module\, and es
 tablish an algebraic stability theorem for these extensions. If time permi
 ts we discuss how this idea can be extended to define interleavings of per
 sistence modules defined over any poset.  \n\n	 
LOCATION:MA 12
STATUS:CONFIRMED
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