Valery Alexeev

Weighted Gromov-Witten theory

I will describe moduli spaces of weighted stable maps (C,P1...Pn)->V, a version in which to each point P_i one assigns a weight between zero and one; I will then describe the corresponding weighted Gromov-Witten and descendent invariants (based on a joint work with Michael Guy). Time permitting, I will also explain some of the "higher-dimensional" theory, with stable curves replaced by higher-dimensional varieties.