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SUMMARY:Ulrich Bauer (Technical University of Munich)
DTSTART:20240513T103000Z
DTEND:20240513T113000Z
DTSTAMP:20260422T175928Z
UID:BilTop/88
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/88/">
 Connect the dots: from data through complexes to persistent homology</a>\n
 by Ulrich Bauer (Technical University of Munich) as part of Bilkent Topolo
 gy Seminar\n\nLecture held in SB-Z11.\n\nAbstract\nIn this talk\, I will s
 urvey some recent results on theoretical and computational aspects of appl
 ied topology. I will illustrate various aspects of persistent homology: it
 s structure\, which serves as a topological descriptor\, its stability wit
 h respect to perturbations of the data\, its computation on a large scale\
 , and connections to Morse theory.\n\nThese aspects will be motivated and 
 illustrated by concrete examples and applications\, such as\n\n*  reconstr
 uction of a shape and its homology from a point cloud\,\n\n*  faithful sim
 plification of contours of a real-valued function\,\n\n*  existence of uns
 table minimal surfaces\, and\n\n*  identification of recurrent mutations i
 n the evolution of COVID-19.\n
LOCATION:https://researchseminars.org/talk/BilTop/88/
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