Colloquium
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 ``sumsofsquares" identities. Certain techniques from this
application lead one to think about quadratic bundles over schemes,
which in particular can be used to construct an algebrogeometric
analog of real Ktheory (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).
