## A Mirror Theorem for Complete Intersection Orbifolds in Weighted Projective Spaces

- Date: 09/18/2006

Hsian-hua Tseng (University of Wisconsin)

University of British Columbia

The famous mirror formula for quintic threefolds, conjectured to

Candelas, de la Ossa, Green, and Parkes, provides detail information on

genus zero Gromov-Witten invariants of the quintic threefold. Mirror

formula has been extended to larger classes of manifolds, e.g. nef

complete intersections in toric manifolds (by the works of Givental,

Lian-Liu-Yau, and others). Recent advance in orbifold theory has

motivated a search for a mirror theorem for orbifolds. Such a

generalization will be improtant for mirror symmetry in higher

dimension, as one cannot insist on working with mainfolds by passing to

crepant resoultions. In this talk we will discuss an approach to

establish a mirror theorem for orbifolds, and explain such a mirror

theorem for complete intersection orbifolds in weighted projective

spaces.

Algebraic Geometry Seminar 2006