Ionut Ciocan-Fontanine

Quasimap theory is concerned with curve counting on certain GIT quotients. In fact, one has a family of curve counting theories, with Gromov-Witten included, depending on the linearization in the GIT problem. I will present a wall-crossing formula, in all genera and at the level of virtual classes, as the size of the linearization changes, focusing primarily on the case of complete intersections in projective space. Some of its numerical consequences will be discussed as well. This is joint work with Bumsig Kim.