Number Theory Seminar: Karl Rubin
- Date: 11/10/2011
- Time: 15:00
Lecturer(s):
Karl Rubin (University of California - Irvine)
Location:
University of British Columbia
Description:
Abstract: I will discuss some recent results (joint with Zev
Klagsbrun and Barry Mazur) on the distribution of 2-Selmer ranks in
families of quadratic twists of elliptic curves over arbitrary number
fields. We study the density of twists with a given 2-Selmer rank, and
obtain some surprising results on the fraction of twists with 2-Selmer
rank of given parity. Since the 2-Selmer rank is an upper bound for the
Mordell-Weil rank, this work has consequences for Mordell-Weil ranks in
families of quadratic twists.
Schedule:
3:00-4:00pm in WMAX 216
Other Information:
For more information please visit UBC Mathematics Department
Sponsor: