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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260326T143000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-ian-george
SUMMARY:Algebraic and enumerative combinatorics seminar - Ian\nGeorge-Enume
 rating Convex Sets in Posets
CLASS:PUBLIC
DESCRIPTION:SPEAKER:\n Ian George\n\nAFFILIATION:\n University of Waterloo\
 n\nLOCATION:\n MC 5417\n\nABSTRACT: Causal Set Theory (CST) is a theory o
 f quantum gravity\nwhere spacetime is taken to be a locally finite poset\,
  called a causal\nset.  A central problem in CST is to determine physical
 ly relevant\nproperties from the purely combinatorial information of the c
 ausal\nset.  In 2014 Glaser and Surya demonstrated that the distribution 
 of\ninterval sizes of a causal set sprinkled into a region of Minkowski\ns
 pace contains information about the dimension of the underlying\nspacetime
 .  In 2026 Surya showed that this distribution can be used\nto define a 
 “closeness” function on causal sets that distinguishes\nby dimension a
 nd global topology.  In this talk we present work\nmotivated by these res
 ults which investigates the more general notion\nof convex sets\, instead 
 of intervals\, of a poset.  First\, we will\nintroduce a generating polyn
 omial for convex sets in a finite poset\nand explore some of its propertie
 s.  We will then show that this\npolynomial is a complete invariant for t
 he family of series-parallel\nposets.  Lastly\, we discuss early results 
 on the utility of this\npolynomial in CST.  The pre-seminar will introduc
 e relevant\nbackground on CST.\n\nTHERE WILL BE A PRE-SEMINAR PRESENTING 
 RELEVANT BACKGROUND AT THE\nBEGINNING GRADUATE LEVEL STARTING AT 1:30PM.
DTSTAMP:20260418T134058Z
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