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UID:DSC-22730
DTSTART;TZID=Europe/Berlin:20260305T150000
SEQUENCE:1772692768
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20260305T160000
URL:https://dresden-science-calendar.org/calendar/de/detail/22730
LOCATION:MPI-CBG\, Pfotenhauerstraße 10801307 Dresden
SUMMARY:Carbonell: Hypergraph homologies (BONUS: ECT for paleontology and t
 he origin of life)
CLASS:PUBLIC
DESCRIPTION:Speaker: Bernat Jordà Carbonell\nInstitute of Speaker: VU Amst
 erdam\nTopics:\n\n Location:\n  Name: MPI-CBG (MPI-CBG CSBD SR Top Floor (
 VC))\n  Street: Pfotenhauerstraße 108\n  City: 01307 Dresden\n  Phone: +4
 9 351 210-0\n  Fax: +49 351 210-2000\nDescription: Hypergraphs extend grap
 hs and simplicial complexes by representing higher-order interactions with
  more degrees of freedom. However\, the absence of downward closure makes 
 the usual chain-level boundary operators fail. How to get around this is n
 ot trivial and different authors have proposed different approaches that g
 et to completely different homologies. While trying to better understand w
 hat information is relevant from the hypergraphs\, we notice that one of t
 he most promising homology theories (relative barycentric homology) is equ
 ivalent to the compact support homology of our geometric realisation of a 
 hypergraph. We prove a natural isomorphism between these homologies and de
 termine the functoriality of the former. BONUS: How can we adapt TDA tools
  generally used for biology to paleontology? In Paleo we don’t have acce
 ss to 3d structures\, only images of sections of rock that might be degrad
 ed and transformed after such a long time. More specifically\, if we want 
 to bring life to the scientific discussion on origins of life\, we need to
  look at fossils of bacteria. The small scale and degradation makes this t
 ask quite complicated and the use of morphometry has not been applied succ
 essfully (yet!).
DTSTAMP:20260425T114206Z
CREATED:20260304T063945Z
LAST-MODIFIED:20260305T063928Z
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