|Speaker:||Bumsig Kim (KIAS)|
|Title:||Orbifold Quasimap Theory|
|Date (JST):||Mon, Oct 28, 2013, 14:00 - 17:00|
|Place:||Seminar Room A|
We generalize the quasimap theory to the case when GIT target W//G becomes Deligne-Mumford stacks. The moduli stack of e-stable maps from twisted curves to the target with k-marked, genus g and a degree class is a DM-stack proper over the affine quotient. When W is LCI and W//G is a smooth DM-stacks, the moduli stack comes with a canonical perfect obstruction theory.
We obtain the generalization of the wall-crossing formula of J-functions as e varies. As an application, we prove the conjecture, "mirror theorem" of Iritani et. al. This is joint work with D. Cheong and I. Ciocan-Fontanine
|Remarks:||14:00-15:00 (Part I)
15:30-17:00 (Part II)