Speaker: Jacob Lurie from Harvard University

Title: Nonabelian Poincare Duality (Ordway Lecture II)

Abstract: If M is a compact oriented manifold, then Poincare duality provides an isomorphism between the homology and cohomology of M with values in any abelian group A. In this lecture, I'll describe an analogue of this Poincare duality isomorphism for cohomology with nonabelian coefficients.