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Modular completions of indefinite theta series on tetrahedral cones Westerholt-Raum, Martin
Description
Holomorphic indefinite theta series are approximately the sum over the intersection of a lattice and a closed cone in the associated real quadratic space. It is necessary for convergence that this cone is non-negative. Polyhedral cones are cones which correspond to hyperbolic polyhedra in the projectivisation of the real quadratic space. They can be used to approximate all other cones, and on the other hand can be built up from tetrahedral cones. Zwegers's thesis contains the case of a 1-tetrahedron in the projectivisation of a quadratic space of signature $(n,1)$. In summer, the case of positive, rectangular cones that are positive in signature $(n,2)$ was treated.
Item Metadata
Title |
Modular completions of indefinite theta series on tetrahedral cones
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-09-26T14:28
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Description |
Holomorphic indefinite theta series are approximately the sum over the
intersection of a lattice and a closed cone in the associated real quadratic
space. It is necessary for convergence that this cone is non-negative.
Polyhedral cones are cones which correspond to hyperbolic polyhedra in the
projectivisation of the real quadratic space. They can be used to approximate
all other cones, and on the other hand can be built up from tetrahedral cones.
Zwegers's thesis contains the case of a 1-tetrahedron in the projectivisation
of a quadratic space of signature $(n,1)$. In summer, the case of positive,
rectangular cones that are positive in signature $(n,2)$ was treated.
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Extent |
65 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Chalmers University of Technology
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Series | |
Date Available |
2017-03-28
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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 |
10.14288/1.0343364
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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 Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International