Title	Elliptic Rook and File Numbers
Creator	Yoo, Meesue
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-18T09:21
Description	In this work, we construct elliptic analogues of the rook numbers and file numbers by attaching elliptic weights to the cells in a board. We show that our elliptic rook and file numbers satisfy elliptic extensions of corresponding factorization theorems which in the classical case was established by Goldman, Joichi and White and by Garsia and Remmel in the file number case. This factorization theorem can be used to define elliptic analogues of various kinds of Stirling numbers of the first and second kind, and Abel numbers. We also give analogous results for matchings of graphs, elliptically extending the result of Haglund and Remmel. This is a joint work with Michael Schlosser.
Extent	17 minutes
Subject	Mathematics; Combinatorics; Group theory and generalizations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universität Wien
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-11-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0357942
URI	http://hdl.handle.net/2429/63596
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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