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University of Regina Department of Mathematics and Statistics
 

Summary: COLLOQUIUM
University of Regina
Department of Mathematics and Statistics
Speaker: Jonathan Scott (University of Regina)
Title: A Rational approach to E-Algebras
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, simply-connected
topological space X. Its homology, H(X), has a rich algebraic struc-
ture and tells us about homotopy-theoretic 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:

  

Source: Argerami, Martin - Department of Mathematics and Statistics, University of Regina

 

Collections: Mathematics