May 2009


Dear Readers,

We’ve now talked about quaternion algebras, and today I’ll talk about the surprisingly close connection between quaternion algebras and elliptic curves.

We first recall a fundamental fact about isogenies:

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Ok, this is going to be my last post in enumerative geometry for a while, as I’m kind of drifting away from the subject.  However, this one will be fun.  We’ve already established the structure of the cohomology ring for Grassmannians, so what we’re going to do is talk about what the word “generic” means in some very precise contexts, and then we’re going to count a bunch of things.

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