Counting Quotients
-- Aaron Bertram, January 19, 2018

<p>

When the scheme of quotients of a vector bundle on
a curve or del Pezzo surface has dimension zero (as expected),
then what is its length? Marian and Oprea showed that the
length counts the number of independent sections of a determinant
line bundle on a moduli space in the curve case, and we conjecture
that this is also the case for a del Pezzo surface. If so, this
would imply Le Potier's strange duality conjecture. I want to talk
about our admittedly modest progress toward this conjecture. This is joint work with Thomas Goller and Drew Johnson.