We like to count isomorphism classes of vector bundles over algebraic curves defined over finite fields. For this we will need a good space, a moduli space, whose points corresponds to the vector bundles and all their symmetries. Then the counting of those points is done similar as in the classical case of varieties over finite fields, only that one needs to count points with symmetries which comes down to counting in groupoids and a variant of the classical Weil Conjectures for these.
Counting vector bundles on curves over finite fields
Frank Neumann (Leicester)
Mon, 19/03/2012 - 16:30