Explicit points on the Legendre elliptic curve

Series
Algebra Seminar
Time
Monday, March 1, 2010 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 171
Speaker
Doug Ulmer – Georgia Tech
Organizer
Matt Baker
It turns out to be very easy to write down interesting points on the classical Legendre elliptic curve y^2=x(x-1)(x-t) and show that they generate a group of large rank. I'll give some basic background, explain the construction, and discuss related questions which would make good thesis projects (both MS and PhD).