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Quantum cohomology for isotropic Grassmannians and Lefschetz exceptional collections Cruz Morales, John Alexander
Description
We will show by "generic smoothness" that the big quantum cohomology ring of isotropic Grassmannians \(IG(2,2n)\) is generically semisimple but the small quantum cohomology ring is not. That non-semisimplicity leads to a decomposition of the small quantum cohomology ring that relates to a certain decomposition of the derived category of \(IG(2,2n)\) in a so-called Lefschetz exceptional collection. This is based on joint work with A. Mellit, A. Kuznetsov, N. Perrin and M. Smirnov.
Item Metadata
Title |
Quantum cohomology for isotropic Grassmannians and Lefschetz exceptional collections
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-11-21T16:51
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Description |
We will show by "generic smoothness" that the big quantum cohomology ring of isotropic Grassmannians \(IG(2,2n)\) is generically semisimple but the small quantum cohomology ring is not. That non-semisimplicity leads to a decomposition of the small quantum cohomology ring that relates to a certain decomposition of the derived category of \(IG(2,2n)\) in a so-called Lefschetz exceptional collection. This is based on joint work with A. Mellit, A. Kuznetsov, N. Perrin and M. Smirnov.
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Extent |
56.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Universidad Nacional de Colombia
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Series | |
Date Available |
2020-05-20
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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 |
10.14288/1.0390934
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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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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International