[Binghamton Geometry/Topology Seminar] (no subject)

[Marco Varisco]

BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

Date: Thursday November 29, 2007

Time: 2:50 pm

Place: Library North 2205
 (followed by coffee/tea in the Anderson Reading Room)

Speaker: Mark Johnson (Penn State Altoona)

Title: On realizing diagrams of Pi-algebras

Abstract: A Pi-algebra is an element of the category of universal
algebras where the graded homotopy groups of a pointed connected space
most naturally lie. An obstruction theory for determining when a
commutative diagram of Pi-algebras arises by applying homotopy groups
to a strictly commutative diagram of spaces (often called a
realization) will be presented. Some techniques for approaching
computations of obstructions will also be discussed. This is all part
of a broader program, joint with David Blanc and James Turner, which
aims to understand higher homotopy operations as obstructions to
finding strictly commutative replacements for homotopy commutative
diagrams.