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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20241003T140000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-john-smith
SUMMARY:Algebraic and enumerative combinatorics seminar-John Smith
CLASS:PUBLIC
DESCRIPTION:TITLE:Coefficient Positivity and Analytic Combinatorics\n\nSpea
 ker\n John Smith\n\nAffiliation\n University of Waterloo\n\nLocation\n MC 
 5479\n\n ABSTRACT: Given a rational function analytic at the origin\, are
  its\npower series coefficients positive? We first motivate this question\
 nwith historical background\, examples and connections to decidability\nqu
 estions in combinatorics. We then present a method for proving\npositivity
  for a certain class of multivariate rational functions\, by\nconstructing
  explicit error bounds for an asymptotic expansion using\nanalytic combina
 torics in several variables. After applying our method\nto a couple of exa
 mples in the literature\, including re-proving a\n(recently proved) conjec
 ture of Gillis\, Reznick and Zeilberger from\n1983\, we discuss the feasib
 ility of completing certain steps in our\nanalysis using methods from comp
 uter algebra.\n\nTHERE WILL BE A PRE-SEMINAR PRESENTING RELEVANT BACKGROUN
 D AT THE\nBEGINNING GRADUATE LEVEL STARTING AT 1PM
DTSTAMP:20260403T083042Z
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