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On quantum curves Mariño, Marcos
Description
In this talk I will discuss some general aspects on quantum curves. I will emphasize the need to go beyond WKB-like perturbative schemes, and the usefulness of working with actual Hilbert spaces. I will then present three mathematical mechanisms in our theory of quantum mirror curves which make it possible to go from the discrete world of quantum mechanics to the continuous world of enumerative geometry: Fredholm determinants, large $N$ limits, and Wigner distributions. I will also list some interesting open problems for the future.
Item Metadata
Title |
On quantum curves
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-09-11T08:59
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Description |
In this talk I will discuss some general aspects on quantum curves.
I will emphasize the need to go beyond WKB-like perturbative schemes,
and the usefulness of working with actual Hilbert spaces. I will then present three
mathematical mechanisms in our theory of quantum mirror curves
which make it possible to go from the discrete world of quantum mechanics to the continuous
world of enumerative geometry: Fredholm determinants, large $N$ limits, and Wigner distributions.
I will also list some interesting open problems for the future.
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Extent |
70.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Université de Genève
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Series | |
Date Available |
2019-03-17
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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 |
10.14288/1.0377036
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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