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DTSTART:20200308T070000
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DTSTART:20201101T060000
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DTSTART;TZID=America/Toronto:20210225T130000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-co
 mbinatorics-seminar-nick-loehr
SUMMARY:Algebraic Combinatorics Seminar - Nick Loehr
CLASS:PUBLIC
DESCRIPTION:TITLE: Chain decompositions for q\,t-Catalan numbers\n\nSpeake
 r:\n Nick Loehr\n\nAffiliation:\n Virginia Tech\n\nZoom:\n Contact Karen Y
 eats\n\nABSTRACT:\n\nThe q\,t-Catalan numbers Cat_n(q\,t) are polynomials 
 in q and t that\nreduce to the ordinary Catalan numbers when q=t=1. These 
 polynomials\nhave important connections to representation theory\, algebra
 ic\ngeometry\, and symmetric functions. Work of Garsia\, Haglund\, and Hai
 man\nhas given us combinatorial formulas for Cat_n(q\,t) as sums of Dyck\n
 vectors weighted by area and dinv. This talk narrates our ongoing\nquest f
 or a bijective proof of the notorious symmetry property\nCat_n(q\,t)=Cat_n
 (t\,q).
DTSTAMP:20260406T235643Z
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