## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Towards mirror symmetry for varieties of general type

**Speaker:** Helge Ruddat

**Speaker Info:** Mainz

**Brief Description:**

**Special Note**:

**Abstract:**

Assuming the natural compactification X of a hypersurface in (C^*)^n is smooth, it can exhibit any Kodaira dimension depending on the size and shape of the Newton polyhedron of X. In a joint work with Ludmil Katzarkov, we give a construction for the expected mirror symmetry partner of a complete intersection X in a toric variety which works for any Kodaira dimension of X. The mirror dual might be reducible and is equipped with a sheaf of vanishing cycles. We give evidence for the duality by proving the symmetry of the Hodge numbers when X is a hypersurface. The leading example will be the mirror of a genus two curve. If time permits, we will explain relations to homological mirror symmetry and the Gross-Siebert construction.

**Date:** Thursday, March 08, 2012

**Time:** 4:00pm

**Where:** Lunt 107

**Contact Person:** David Treumann

**Contact email:** treumann@math.northwestern.edu

**Contact Phone:**

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