2009 Alberta Topology Seminar Retreat

--- George Peschke, Department of Mathematical and Statistical Sciences, University of Alberta; (1)

Homological cycles represented manifolds: Early history; (2) Hodge's Conjecture as a refinement of

Steenrod's cycle representation question plus some status report; (3) Holomorphic cobordism and

its relation to Chow groups. --- Ryan Budney, Mathematics and Statistics, University of Victoria.

Survey on Rene Thom's work on cobordism and homological cycles represented by singular

manifolds (Divided into parts I and II). --- Sadok Kallel, l'UFR de Mathematiques Pures et

Appliquees, University Lille 1. The topology of holomorphic spheres in Grassmannians. --- Peter

Zvengrowski, Department of Mathematics and Statistics, University of Calgary. The Dol'nikov

Theorem, an Interplay of Combinatorics and Homotopy Theory.