Title	Asymptotic enumerative geometry
Creator	Lehmann, Brian
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-04-04T16:30
Description	The geometry of a Cartier divisor \(L\) on an algebraic variety \(X\) is encoded by its section ring \(R(X,L)\). Such rings can be quite complicated; for example, they need not be finitely generated. Nevertheless, useful information can be extracted by studying the asymptotic behavior of the graded pieces. I'll discuss the first steps toward an analogous theory for cycles of higher codimension. The key perspective is that enumerative constructions should play the role of sections for divisors. The talk will focus on the surprising relationships with convex analysis and the theory of convex bodies.
Extent	56 minutes
Subject	Mathematics; Commutative rings and algebras; Category theory; homological algebra; Commutative algebra
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Boston College
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-10-04
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0318071
URI	http://hdl.handle.net/2429/59351
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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