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p-adic heights and rational points on curves Balakrishnan, Jennifer
Description
In 2006, Mazur, Stein, and Tate gave an algorithm to compute p-adic heights and regulators on elliptic curves, motivated by the p-adic Birch and Swinnerton-Dyer conjecture. Their work on these explicit methods has led to a new use of p-adic heights, namely as a tool to find rational points on curves. I'll give a survey of these methods (joint with A. Besser, N. Dogra, J. S. Mueller) and describe the landscape of future work for families of curves and curves with extra structure.
Item Metadata
Title |
p-adic heights and rational points on curves
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-05-31T09:01
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Description |
In 2006, Mazur, Stein, and Tate gave an algorithm to compute p-adic heights and regulators on elliptic curves, motivated by the p-adic Birch and Swinnerton-Dyer conjecture. Their work on these explicit methods has led to a
new use of p-adic heights, namely as a tool to find rational points on curves. I'll give a survey of these methods (joint with A. Besser, N. Dogra, J. S. Mueller) and describe the landscape of future work for families of curves and
curves with extra structure.
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Extent |
50 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Boston University
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Series | |
Date Available |
2017-11-28
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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 |
10.14288/1.0360751
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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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