## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** Algebraic v_n self maps at the prime 2

**Speaker:** Leanne Merrill

**Speaker Info:** University of Oregon

**Brief Description:**

**Special Note**:

**Abstract:**

A central question of algebraic topology is to understand homotopy classes of maps between finite cell complexes. The Nilpotence Theorem of Hopkins-Devinatz-Smith together with the Periodicity Theorem of Hopkins-Smith describes non-nilpotent self maps of finite spectra. The Morava K- theories K(n)∗ are extraordinary cohomology theories which detect whether a finite spectrum X supports a vn-self map. Such maps are known to exist for each finite spectrum X for an appropriate n but few explicit examples are known. Working at the prime 2, we use a technique of Palmieri- Sadofsky to produce algebraic analogs of vn maps that are easier to detect and compute. We reproduce the existence proof of Adams's v14 map on the Mod 2 Moore spectrum, and work towards a v2i map for a small value of i.

**Date:** Monday, November 07, 2016

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Prof. John Francis

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

**Contact Phone:** 847-491-5544

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