Number Theory Seminar at Univ of Washington: October 13, 2011

SPEAKER: William Stein (Univ of Washington)

LOCATION: Thursday, October 13, 2011 in Padelford C401

TITLE:  Numerical Computation of Chow-Heegner Points

ABSTRACT: Chow-Heegner points, as are being actively pursed by
Darmon, Rotger, et al., are quite general.  In this talk, we consider
a special case that has a simple concrete description due to Shouwu
Zhang.  Given a pair E, F of elliptic curves, and a fixed choice of
maps X_0(N)-->E and X_0(N)-->F, we associate a rational point P on E.
In this talk we will describe a relatively elementary numerical approach
to computing P, state some motivating results of Zhang et al. about
the height of P, and present a new table of data.