Title	Spanning configurations
Creator	Rhoades, Brendon
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-01-22T15:34
Description	An ordered tuple of 1-dimensional subspaces $(L_1, \dots, L_n)$ of a fixed vector space $V$ is a {\em spanning line configuration} if $L_1 + \cdots + L_n = V$. We discuss the combinatorics of spanning line configurations, describing enumerative results when $V$ is a vector space over the finite field $\mathbb{F}_q$, and presenting the cohomology ring of the moduli space of spanning line configurations when $V$ is a vector space over $\mathbb{C}$. We present some ideas about how to extend these results to tuples $(W_1, \dots, W_n)$ of potentially higher-dimensional subspaces $W_i$ of $V$. Joint with Brendan Pawlowski and Andy Wilson.
Extent	71.0
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	2019-07-22
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0379937
URI	http://hdl.handle.net/2429/71068
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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