SMS scnews item created by John Enyang at Sun 11 Aug 2013 1452
Type: Seminar
Modified: Thu 22 Aug 2013 1653; Thu 22 Aug 2013 1653
Distribution: World
Expiry: 23 Aug 2013
Calendar1: 23 Aug 2013 1205-1255
CalLoc1: Carslaw 373
Auth: enyang@penyang.pc (assumed)

# Representations on the cohomology of hypersurfaces and mirror symmetry

### Stapledon

###### Speaker:

Alan Stapledon (University of Sydney)

###### Title:

Representations on the cohomology of hypersurfaces and mirror symmetry

###### 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.

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We will take the speaker to lunch after the talk.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang John.Enyang@sydney.edu.au

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