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

Other Information: 

Algebraic Geometry Seminar 2006