UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

January 23, 2007

939 Evans


3:45: Projections and the Regularity of Powers

David Eisenbud

I'll review what we know about the regularity of powers of an ideal and its connection to projections; and I'll explain the motivation for a conjecture about projections. The talk will treat the same area as my "Mentor lecture" last semester, but with more details.

PDF notes, courtesy of Bjorn Poonen

5:00: p-adic etale sheaves on characteristic-p curves

Carl Miller

I will briefly introduce the class of etale sheaves. This class has a number of important applications in characteristic-p geometry, including a proof of the Weil conjectures.

There is a lot of literature that is concerned with ell-adic etale sheaves on characteristic-p schemes, where ell is a prime different from p. The behavior of p-adic etale sheaves is fundamentally different from the behavior of ell-adic etale sheaves. I will discuss a theorem about ell-adic etale sheaves on characteristic-p curves, and then I will present a partial extension that applies to p-adic etale sheaves.

PDF notes, courtesy of Bjorn Poonen