EVENT DETAILS AND ABSTRACT

Title: Divisibility of Heegner points on Z_p extensions
Speaker: Mirela Çiperiani
Speaker Info: Austin
Brief Description:
Special Note:
Abstract:

Let E be an elliptic curve over Q, of analytic rank greater than 1, and p a prime of good ordinary reduction. Consider the Heegner points which lie on E over the different layers of the anticyclotomic Z_p extension of an imaginary quadratic extension K. Since the analytic rank of E/Q is greater than 1 the trace of a Heegner point down to K always equals zero. We will discuss what this implies about the divisibility of the Heegner points by elements of the relevant Iwasawa algebra.