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 > Number Theory Seminar > Ranks of elliptic curves with prescribed torsion over number fields

## Ranks of elliptic curves with prescribed torsion over number fieldsAdd to your list(s) Download to your calendar using vCal - Johan Bosman (Warwick)
- Tuesday 28 February 2012, 14:30-15:30
- MR13.
If you have a question about this talk, please contact Tom Fisher. Let E(K), where K is a number field of degree
d and E is an elliptic curve over K. T is known by Mazur’s theorem,
_{1}T is known as well, and for _{2}d equal to 3 or 4, it is known which
groups occur infinitely often.We shall study the following problem: given a E, where
E is an elliptic curve over a number field K of degree d with the torsion subgroup of E(K)
isomorphic to T. For d = 2 and T = or Z/13ZT = , and also for Z/18Zd = 4 and
T = , it turns out that the rank is always even. This will be
explained by a phenomenon we call “false complex multiplication”.Z/22ZThis is joint work with Peter Bruin, Andrej Dujella, and Filip Najman. This talk is part of the Number Theory Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Hanchen DaDaDash
- Interested Talks
- MR13
- Number Theory Seminar
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsClinical Neuroscience and Mental Health Symposium The obesity epidemic: Discussing the global health crisis Combinatorics Seminar## Other talksNonstationary Gaussian process emulators with covariance mixtures Multilingual Identities and Heterogeneous Language Ideologies in the New Latino Diaspora Using Inclusive Design to Focus on User Experience (UX) Phylogenetic hypothesis of the Oleeae tribe (Oleaceae) Diversification and molecular evolution patterns in plastid and nuclear ribosomal DNA Locomotion in extinct giant kangaroos? Hopping for resolution. Climate change, archaeology and tradition in an Alaskan Yup'ik Village |