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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240624T113000
SEQUENCE:0
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-gr
 aph-theory-tovohery-randrianarisoa
SUMMARY:Algebraic Graph Theory - Tovohery Randrianarisoa
CLASS:PUBLIC
DESCRIPTION:TITLE: Shellability of complexes over lattices\n\nSPEAKER:\n T
 ovohery Randrianarisoa\n\nAFFILIATION:\n Umeå University\n\nLOCATION:\n P
 lease email Sabrina Lato for Zoom link\n\nABSTRACT: In this work\, we int
 roduce the notion of power lattices\,\nwhich are a more general class of r
 anked lattices with additional\nproperties. Then we generalize the concept
  of shellable simplicial\ncomplexes in the lattice of subsets to P-shellab
 le P-complexes in a\npower lattice P. We show that when the P-complex is P
 -shellable\, its\norder complex is a shellable simplicial complex. We demo
 nstrate that\nthese P-complexes can be constructed by generalizing the con
 cept of\nmatroids to matroids in a power lattice P. This provides various\
 nconstructions of posets with desirable topological and algebraic\npropert
 ies. In the particular class of lattices of multiset subsets\,\nwe show ho
 w to construct shellable 'multicomplexes' from weighted\ngraphs. Finally\,
  we illustrate how shellable multicomplexes give rise\nto rings that are s
 equentially Cohen-Macaulay.\n\n 
DTSTAMP:20260403T083009Z
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