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DG enhancements of derived categories of sheaves Anno, Rina
Description
This talk is based on a joint work with T. Logvinenko, and gives some background for his talk on "P-functors". One of the major problems of working with triangulated categories is that the cone of a map between functors is not well defined, and in constructions such as that of P-twists, we need not just a cone, but a convolution of a three-term complex. In this talk, we will discuss Bondal and Kapranov's pretriangulated categories, where such convolutions exist naturally. We are also going to introduce the construction of a twisted line bundle over a DG category, a version of which is going to be instrumental in the definition of P-functors.
Item Metadata
Title |
DG enhancements of derived categories of sheaves
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-03-11T09:05
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Description |
This talk is based on a joint work with T. Logvinenko, and gives some background for his
talk on "P-functors".
One of the major problems of working with triangulated categories is that the cone of
a map between functors is not well defined, and in constructions such as that of P-twists,
we need not just a cone, but a convolution of a three-term complex. In this talk, we will
discuss Bondal and Kapranov's pretriangulated categories, where such convolutions
exist naturally. We are also going to introduce the construction of a twisted line bundle over
a DG category, a version of which is going to be instrumental in the definition of P-functors.
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Extent |
68 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Massachusetts Institute of Technology
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Series | |
Date Available |
2016-09-10
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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 |
10.14288/1.0314190
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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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