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Topology/Geometry Seminar
Thursday, November 6, 2008
2:30 pm,
315 McAlister
Mark Johnson
Penn State University
On modified Reedy structures.
Abstract: In joint work with Wojciech Dorabiala, I have been looking at variations on the notion of Reedy model structures, first introduced by Bousfield and Kan in constructing their spectral sequence for a cosimplicial space. The usual Reedy structure gives a way to make (co)simplicial objects in a Quillen model category into a new model category, where the weak equivalences are the (co)simplicial maps whose entries are all weak equivalences. Our modification allows us to use appropriately chosen subsets of the entries to define weak equivalences, when defining model structures on more general types of diagram categories. Our intended applications come from recovering the algebraic K-theory of a model category by looking at such modified Reedy structures on grid-like diagram categories. We hope to eventually answer a variation on an open question recently posed by Dugger and Shipley about characterizing equivalences on K-theory via Quillen equivalences of various Reedy model structures on diagram categories.
We meet weekly on Thursday afternoons, alternating between Penn State Altoona and Penn State University Park. If you are interested in giving a talk in our seminar please contact one of the coordinators for the Fall 2008 semester: Wojtek Dorabiala and Aissa Wade.
