 
Summary: COLLOQUIUM
University of Regina
Department of Mathematics and Statistics
Speaker: Jonathan Scott (University of Regina)
Title: A Rational approach to EAlgebras
Date: Friday, January 30, 2004
Time: 15:30
Place: Math & Stats Lounge (CW 307.18)
Abstract
Let X be the space of based loops on the pointed, simplyconnected
topological space X. Its homology, H(X), has a rich algebraic struc
ture and tells us about homotopytheoretic properties of X itself. For
example, H(X) is an algebra. With coefficients in a field, it has in
addition a comultiplicative structure making it a Hopf algebra. Fur
thermore, if the coefficient field has characteristic p, then the homology
comes equipped with an action of the Steenrod algebra.
We will discuss how to use techniques from rational homotopy the
ory and commutative algebra to study the Hopf algebra structure.
However, in order to handle the action of the Steenrod algebra, it
becomes necessary to work in a much more complicated environment:
