| Speaker: | Alan Stapledon (U of Sydney) |
|---|---|
| Title: | Representations on the cohomology of hypersurfaces and mirror symmetry |
| Date (JST): | Wed, Dec 18, 2013, 13:15 - 14:45 |
| Place: | Seminar Room B |
| Related File: | 1090.zip |
| Abstract: | String theory predicts that Calabi-Yau spaces occur in 'mirror' pairs $(X,Y)$. When $X$ and $Y$ are smooth this means that the Hodge diamond of $X$ is the mirror image of the Hodge diamond of $Y$. We present a new construction that produces infinitely many new 'mirror' pairs of Calabi-Yau orbifolds, and give an explicit description of the corresponding Hodge diamonds. The key is a more general representation theoretic result. Namely, we give an explicit description of the representation of a finite group acting on the cohomology of a hypersurface of a projective toric variety. |
