## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** Homotopy beta elements at the prime 3.

**Speaker:** Professor Mark Behrens

**Speaker Info:** University of Chicago

**Brief Description:**

**Special Note**:

**Abstract:**

Mahowald's root invariant gives a homotopy theoretic replacement for the
Greek letter elements in the stable homotopy groups of spheres.
The prime 3 is the largest prime that displays anamolous v2-periodic
behaviour.
I'll describe which elements beta_i in the Adams-Novikov E_2 term are
permanent cycles at the prime 3, and will identify some of them as root
invariants of the alpha_i. I'll also discuss which elements deserve to be
called the 'homotopy beta_i' when the corresponding algebraic beta_i fail to
be permanent cycles.

**Date:** Monday, February 24, 2003

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Prof. Halvard Fausk

**Contact email:** fausk@math.northwestern.edu

**Contact Phone:** 847-467-5211

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