PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Aissa Wade.

Title:On modified Reedy structures
Seminar:Topology/Geometry Seminar
Speaker:Mark Johnson, Penn State
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.

Room Reservation Information

Room Number:MB315
Date:11 / 06 / 2008
Time:02:30pm - 03:30pm