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Equivariant Gröbner bases Krone, Robert
Description
Families of polynomial ideals in high dimension but with symmetry often exhibit certain stabilization even as the dimension grows, for example being generated by the orbits of a short list of polynomials. Similarly an equivariant Gröbner basis of an ideal is a set of polynomials whose orbits form a Gröbner basis, which is a useful computational tool for working with these families of ideals. We describe the current state of equivariant Gröbner basis algorithms including criteria for guaranteeing termination and strategies for speeding up computation. This is joint work with Chris Hillar and Anton Leykin.
Item Metadata
Title |
Equivariant Gröbner bases
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-04-05T10:31
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Description |
Families of polynomial ideals in high dimension but with symmetry often exhibit certain stabilization even as the dimension grows, for example being generated by the orbits of a short list of polynomials. Similarly an equivariant Gröbner basis of an ideal is a set of polynomials whose orbits form a Gröbner basis, which is a useful computational tool for working with these families of ideals. We describe the current state of equivariant Gröbner basis algorithms including criteria for guaranteeing termination and strategies for speeding up computation. This is joint work with Chris Hillar and Anton Leykin.
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Extent |
56 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Queen's University
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Series | |
Date Available |
2016-10-05
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0319013
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International