3:00 p.m., Friday (January 30th)

Math Annex 1100

Dan Dugger
University of Oregon

Motivic homotopy theory and some applications

Motivic homotopy theory is concerned with studying generalized cohomology theories for algebraic varieties (perhaps over characteristic p fields). I will explain a little about what this means, and discuss an application to a classical problem of Hurwitz concerning ``sums-of-squares" identities. Certain techniques from this application lead one to think about quadratic bundles over schemes, which in particular can be used to construct an algebro-geometric analog of real K-theory (over any field!). I'll discuss some of this story.

Refreshments will be served at 2:45 p.m. in the Faculty Lounge, Math Annex (Room 1115).

Copyright © 2004 UBC Mathematics Department