**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)

### Algebra Seminar

# Representations on the cohomology of hypersurfaces and mirror symmetry

### Stapledon

###### Friday 23rd August, 12:05-12:55pm, Carslaw 373

###### 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