## EVENT DETAILS AND ABSTRACT

**Number Theory**
**Title:** Divisibility of Heegner points on Z_p extensions

**Speaker:** Mirela Ã‡iperiani

**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.

**Date:** Monday, May 24, 2010

**Time:** 3:00PM

**Where:** Lunt 107

**Contact Person:** Florian Herzig

**Contact email:** herzig@math

**Contact Phone:** 847-467-1898

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