Steve Halperin, University of Maryland
Title: Lie algebras and the rational homotopy groups of a topological space
Abstract: The higher homotopy groups of a topological space X are abelian, and when tensored with the rationals define a graded Lie algebra, L. When X is a finite polyhedron, or more generally, if X has finite Lusternik-Schnirelmann catgory, then over the last 30 years Sullivan’s minimal model theory has provided strong structural results for this Lie algebra and for the fundamental group. I will describe some of these, both older and very recent, as well as some of the basic ideas which go into the proofs.Time: Friday, February 12, 2016, 3:30-4:20 p.m.
Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
Tel. 703-993-1460, Fax. 703-993-1491