- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- \(\Lambda\)-adic Gross-Zagier formula for elliptic...
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
\(\Lambda\)-adic Gross-Zagier formula for elliptic curves at supersingular primes Castella, Francesc
Description
In 2013, Kobayashi proved an analogue of Perrin-Riou's \(p\)-adic Gross-Zagier formula for
elliptic curves at supersingular primes. In this talk, we will explain an extension of Kobayashi's
result to the \(\Lambda\)-adic setting. The main formula is in terms of plus/minus Heegner
points up the anticyclotomic tower, and its proof, rather than on calculations inspired by the
original work of Gross-Zagier, is via Iwasawa theory, based on the connection between
Heegner points, Beilinson-Flach elements, and their explicit reciprocity laws. This is joint
work with Xin Wan.
Item Metadata
| Title |
\(\Lambda\)-adic Gross-Zagier formula for elliptic curves at supersingular primes
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2016-06-27T15:34
|
| Description |
In 2013, Kobayashi proved an analogue of Perrin-Riou's \(p\)-adic Gross-Zagier formula for
elliptic curves at supersingular primes. In this talk, we will explain an extension of Kobayashi's
result to the \(\Lambda\)-adic setting. The main formula is in terms of plus/minus Heegner
points up the anticyclotomic tower, and its proof, rather than on calculations inspired by the
original work of Gross-Zagier, is via Iwasawa theory, based on the connection between
Heegner points, Beilinson-Flach elements, and their explicit reciprocity laws. This is joint
work with Xin Wan.
|
| Extent |
54 minutes
|
| Subject | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
|
| Notes |
Author affiliation: University of California, Los Angeles
|
| Series | |
| Date Available |
2017-01-31
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0340448
|
| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Postdoctoral
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International