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Skeletons of Spaces of Maps and Superabundant Geometries Ranganathan, Dhruv
Description
I will discuss a unified approach to tropicalizing moduli spaces of logarithmic stable maps to arbitrary logarithmically smooth targets using the geometry of Artin-Olsson fans. I will pay particular attention to superabundant case, exploring the relationship between obstructedness of logarithmic maps and the tropical realizability question. Some relatively transparent consequences of the framework include a new perspective on Speyer's well-spacedness condition, polyhedrality of the tropical realizability cycle, and a version of Murphy's Law for lifting problems for lifting tropical curves.
Item Metadata
| Title |
Skeletons of Spaces of Maps and Superabundant Geometries
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2016-05-02T11:33
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| Description |
I will discuss a unified approach to tropicalizing moduli spaces of logarithmic stable maps to arbitrary logarithmically smooth targets using the geometry of Artin-Olsson fans. I will pay particular attention to superabundant case, exploring the relationship between obstructedness of logarithmic maps and the tropical realizability question. Some relatively transparent consequences of the framework include a new perspective on Speyer's well-spacedness condition, polyhedrality of the tropical realizability cycle, and a version of Murphy's Law for lifting problems for lifting tropical curves.
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| Extent |
64 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Yale University
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| Series | |
| Date Available |
2016-10-31
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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 |
10.14288/1.0320841
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International