Title	Big polynomial rings and Stillman's conjecture
Creator	Sam, Steven
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-06-26T14:02
Description	Ananyan-Hochster's recent proof of Stillman's conjecture crucially uses the notion of strength of a polynomial. Inspired by this, we present two results which capture the idea that collections of polynomials of sufficiently high strength behave like regular sequences. Both of these results state that suitable limits (ultraproduct and inverse limit, respectively) of polynomial rings are themselves polynomial rings. I will discuss how the first result leads to a different proof of Stillman's conjecture. Time permitting, I will also discuss the inverse limit version and how it connects to recent work of Draisma on GL_infinity-noetherianity of polynomial functors.
Extent	50.0
Subject	Mathematics; Commutative rings and algebras; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California, San Diego
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377339
URI	http://hdl.handle.net/2429/69097
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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