An arithmetic enrichment of the degree of a finite map, and applications to enumerative geometry
Location: MSRI: Simons Auditorium
A^1 homotopy theory
Using the Eisenbud-Khimshiashvili-Levine local degree, which is the A1-local degree of Morel in A1 homotopy theory, we define a degree of a finite map between smooth schemes over k. When the target is appropriately connected, this degree is a bilinear form over k. We discuss some applications to enumerative geometry over non-algebraically closed fields. This is joint work with Jesse Kass and Jake Solomon, and will also contain joint work with Padmavathi Srinivasan.
If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.
See more of our Streaming videos on our main VMath Videos page.