Title	Some Conjectures with Surprising Consequences
Creator	Garsia, Adriano
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-01-21T10:36
Description	In the $1980$ paper ``Une famille de Polynomes ayant Plusieurs PropriÃ©tÃ©s Enumeratives", Kreweras gives a bijection that shows that the polynomials $P_n(t)$ that enumerate $n$-labelled rooted trees by number of inversions also $t$-enumerates $n$-Parking Functions by the area statistic. In the $1993$ paper ``A Remarkable $q,t$-Catalan sequence and Lagrange Inversion" with Haiman we relate the Frobenius Characteristic of Diagonal Harmonics to Parking Functions. A recent search in the Encyclopedia of integer sequences connects these two papers in a surprising manner leading to a variety of beautiful conjectures. In this talk the focus will be on what we have proved.
Extent	61.0
Subject	Mathematics; Group theory and generalizations; Combinatorics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: UC San Diego
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-07-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0379932
URI	http://hdl.handle.net/2429/71063
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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