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SUMMARY:Metrics on diagrams and persistence of metric space valued functio
 ns
DTSTART:20130607T141500
DTEND:20130607T153000
DTSTAMP:20260916T050509Z
UID:a727a8fdc73fb231eb01b54544405624f2570c142cc2c87aaae8dd23
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jonathan Scott (Cleveland State)\nIn this talk\, we will see h
 ow a metric structure on the indexing category\, D\, determines a metric o
 n any of its diagram categories\, via the notion of interleavings of diagr
 ams.  The hidden categorical underpinnings of persistent homology will be
  discussed and exploited\; time permitting\, we will see how Kan extension
 s enter the fray!\n    We will conclude with applications to a general 
 framework of persistent homology\, encompassing sublevelset\, levelset\, m
 ultidimensional\, and angle-valued persistence.
LOCATION:MA 12
STATUS:CONFIRMED
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