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SUMMARY:Giovanni Paolini (AWS and Caltech)
DTSTART:20201201T181500Z
DTEND:20201201T184500Z
DTSTAMP:20260315T012213Z
UID:LA-CoCo/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LA-CoCo/18/"
 >How to collapse a simplicial complex: theory and practice</a>\nby Giovann
 i Paolini (AWS and Caltech) as part of LA Combinatorics and Complexity Sem
 inar\n\n\nAbstract\nSometimes one wants to answer topological questions ab
 out a simplicial complex: Is it contractible? Does it deformation retract 
 onto a certain subcomplex? What is its homotopy type? What is its homology
 ? In this talk\, I will introduce discrete Morse theory\, which allows app
 roaching these questions in a purely combinatorial way\, by constructing s
 equences of "elementary collapses" between pairs of simplices. Then I will
  outline algorithms and hardness results for collapsibility and discrete M
 orse theory.\n
LOCATION:https://researchseminars.org/talk/LA-CoCo/18/
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