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Heuristics for the growth of Mordell-Weil ranks in big extensions of number fields Rubin, Karl
Description
I will discuss some heuristics for modular symbols, and consequences of those heuristics for Mordell-Weil ranks. For example, these heuristics predict that every elliptic curve over \(\mathbb{Q}\) has finite Mordell-Weil rank over the \(\hat{\mathbb{Z}}\)-extension of \(\mathbb{Q}\). This is joint work with Barry Mazur.
Item Metadata
| Title |
Heuristics for the growth of Mordell-Weil ranks in big extensions of number fields
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2016-06-29T09:00
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| Description |
I will discuss some heuristics for modular symbols, and consequences of those heuristics
for Mordell-Weil ranks. For example, these heuristics predict that every elliptic curve over
\(\mathbb{Q}\) has finite Mordell-Weil rank over the \(\hat{\mathbb{Z}}\)-extension of
\(\mathbb{Q}\). This is joint work with Barry Mazur.
|
| Extent |
49 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of California, Irvine
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| Series | |
| Date Available |
2017-01-31
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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 |
10.14288/1.0340459
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
|
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International