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SUMMARY:Chung-Ping Lai (Bilkent University)
DTSTART:20251020T123000Z
DTEND:20251020T133000Z
DTSTAMP:20260422T135734Z
UID:BilTop/122
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/122/"
 >Reducing Complexes with Discrete Morse Theory</a>\nby Chung-Ping Lai (Bil
 kent University) as part of Bilkent Topology Seminar\n\nLecture held in SA
  141.\n\nAbstract\nSimplicial decompositions of spaces often introduce lar
 ge number of simplices which can become a nuisance especially in computati
 onal settings. Inspired by smooth Morse theory\, Forman introduced discret
 e Morse theory which\, among its many applications\, offers an approach to
  reduce many kinds of cell complexes. In this talk we first introduce an a
 bstract cell complex that unifies various combinatorial spaces—such as s
 implicial and CW complexes. We then show how discrete Morse theory allows 
 us to reduce a finite cell complex to a Morse complex which contains less 
 cells while preserving the homology.\n
LOCATION:https://researchseminars.org/talk/BilTop/122/
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