There is a fair bit of algebraic geometry at Stanford, and as some of it is in somewhat unexpected places, this page is intended to point out where it is.
We have an algebraic geometry mailing list, where news will be sporadically sent. If you're interested, subscribe by going to http://mailman.stanford.edu/mailman/listinfo/algebraic_geometry and filling out the form. To mail to the list, e-mail algebraic_geometry-at-lists.stanford.edu.
We have an active algebraic geometry seminar at Stanford, which meets weekly. We have an algebraic geometry colloquium joint with Berkeley which meets four times per year.
There is a revived Western Algebraic Geometry Seminar, which is really a twice-yearly conference rotating around the western U.S. and Canada. We hosted this conference in spring 2003, and expect to do so again regularly.
We often have funding to send students to conferences.
There are often talks in the topology, number theory, and symplectic geometry seminars that are related. The combinatorics and geometry seminar, run by Sam Payne and Matt Kahle, is often very related.
I haven't bothered adding links to their webpages; just go to the department homepage to find them.
There are also a good number of smart graduate students around who think about algebraic geometry (often in combination with something else) and are interesting to talk with, including the following. (The first five are working with me, and I'm collaborating with the sixth.)