[Alta-Logic] Peripatetic talk Wed 26

[robin at ucalgary.ca]

Place: ICT 616
Time: 11:00 Wed 26 Oct. 2011
Speaker: Tristan

Title: A Simplicial Construction of Homotopy Colimits

The homotopy (co)limit of topological spaces is a generalization of ordinary
(co)limits in such a way that the result is homotopy invariant.  I will
present an explicit construction of the homotopy colimit which works by
building a certain simplicial space out of a given diagram.  The
construction I present will allow one to construct the homotopy colimit of
an arbitrary diagram, but I will focus primarily on homotopy pushouts as an
illustrative example.  If time permits, I will also discuss how this
construction can be dualized to construct homotopy limits, and I will also
mention the classic Bousfield-Kan construction of homotopy colimits.