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On the anticyclotomic main conjectures for modular forms Büyükboduk, Kazım
Description
I will report on recent joint work with Antonio Lei on the anticyclotomic Iwasawa theory of the base change of an elliptic modular form to an imaginary quadratic field \(K\) in which the prime \(p\) splits. We treat both the definite and indefinite cases in both \(p\)-ordinary and non-\(p\)-ordinary situations. One of our main results is an equality (up to powers of \(p\)) that is predicted by the main conjectures in the definite \(p\)-ordinary set up and a \(\Lambda\)-adic Birch and Swinnerton-Dyer formula in the indefinite case.
Item Metadata
Title |
On the anticyclotomic main conjectures for modular forms
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-06-28T15:31
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Description |
I will report on recent joint work with Antonio Lei on the anticyclotomic Iwasawa
theory of the base change of an elliptic modular form to an imaginary quadratic field
\(K\) in which the prime \(p\) splits. We treat both the definite and indefinite cases in
both \(p\)-ordinary and non-\(p\)-ordinary situations. One of our main results is an
equality (up to powers of \(p\)) that is predicted by the main conjectures in the definite
\(p\)-ordinary set up and a \(\Lambda\)-adic Birch and Swinnerton-Dyer formula in the
indefinite case.
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Extent |
54 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Koc University of Istanbul
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Series | |
Date Available |
2017-01-31
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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 |
10.14288/1.0340453
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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