COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > On the p-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with CM by the ring of integers of Q(√−3)

## On the p-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with CM by the ring of integers of Q(√−3)Add to your list(s) Download to your calendar using vCal - Yukako Kezuka University of Cambridge
- Friday 28 November 2014, 15:00-16:00
- CMS, MR4.
If you have a question about this talk, please contact Julian Brough. We study an infinite family of quadratic and cubic twists of the elliptic curve E parametrised by the modular curve X0(27). There are two main results, both of which support the validity of the famous Birch– Swinnerton-Dyer conjecture. One of them concerns the 2-adic valuation of the algebraic part of the L-series of quadratic twists of E evaluated at 1, and the other concerns the 3-adic valuations of the L-series of cubic twists of E at 1. We check that the bounds obtained in the main results are precisely the bounds predicted by the conjecture, with equality holding when the Tate–Shafarevich groups of the curves are trivial. This talk is part of the Junior Algebra/Logic/Number Theory seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- CMS, MR4
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Junior Algebra/Logic/Number Theory seminar
- School of Physical Sciences
- bld31
- ndb35's list
Note that ex-directory lists are not shown. |
## Other listsOne Day Meeting - Seventh Annual Symposium of the Cambridge Computational Biology Institute Cambiowebinars Seminar Series Feb-Apr 2015 West African Archaeology; Papers in Honour of Thurstan Shaw## Other talksTALK CANCELLED Targets for drug discovery: from target validation to the clinic Propagation of Very Low Frequency Emissions from Lightning Climate Change: Protecting Carbon Sinks Art speak Nonstationary Gaussian process emulators with covariance mixtures Future directions panel |