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Intersection patterns in good covers. Frick, Florian
Description
What are the possible Venn diagrams we can draw with open sets in Euclidean space if all regions must be contractible I will show that there is only one type of local obstruction that vanishes if and only if this is possible. If the regions of the diagram must be convex, this question is much more difficult, and stronger obstructions exist. In this case the intersection combinatorics are captured by convex neural codes, and I will present some recent progress towards understanding these codes. This is joint work with Aaron Chen and Anne Shiu.
Item Metadata
Title |
Intersection patterns in good covers.
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-10-07T15:15
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Description |
What are the possible Venn diagrams we can draw with open sets in Euclidean space if all regions must be contractible I will show that there is only one type of local obstruction that vanishes if and only if this is possible. If the regions of the diagram must be convex, this question is much more difficult, and stronger obstructions exist. In this case the intersection combinatorics are captured by convex neural codes, and I will present some recent progress towards understanding these codes.
This is joint work with Aaron Chen and Anne Shiu.
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Extent |
41.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Carnegie Mellon University
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Series | |
Date Available |
2020-04-05
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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 |
10.14288/1.0389733
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International