Introduction to fermionic Fock space for number theorists
Lectures:
 Commuting differential operators and infinite determinants
 A tour of fermionic Fock space
 Schur multipliers and reciprocity laws
 Calculation of Jacobians of genus 1 curves
Prerequisites:
I am assuming that audience members have a
good grip on graduate level algebra, particularly of the linear sort,
and are familiar with curve technology up to and including adeles and
the RiemannRoch theorem. I am *not* assuming any familiarity with
mathematical physics or representation theory. As advertised, I'm
trying to pitch this material to people who already feel at home in
number theory.
As far as preliminary reading goes, the
list of references on the project description may be helpful. But
again, let me emphasize that knowing one's way around the RiemannRoch
theorem and the adele technology is the main thing.
I'm trying *really* hard to make this gentle and accessible. Perhaps I
have gone too far in my quest to turn class field theory and abelian
function theory into patterned matrix manipulation....
