Affine manifolds and Mirror Symmetry
April 25 - 27, 2008
Airport shuttle number:
(reserve 24h in advance)
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This year the goal of the workshop is to try and get a grasp of the circle of ideas contained in recent work of Mark Gross and Bernd Siebert:
The Gross-Siebert mirror symmetry program, inspired by the Strominger-Yau-Zaslow conjecture, builds on the idea that the fundamental objects controllingmirror symmetry are integral affine manifolds: real manifolds with transition maps being integral affine transformations. In toy situations,
The Gross-Siebert program then is an approach for dealing with this singular case, and at its heart lies a reconstruction theorem, stating that given some additional combinatorial structure and assumptions on B, it is possible to construct a family of degenerating Calabi-Yau varieties over the spectrum of a complete local ring. The goal of this seminar is to understand the motivation for this result and some of the ideas behind the proof, which appears in ``From Real Affine Geometry to Complex Geometry.'' This paper gives a very explicit description of the family using tropical data on B, hinting at a tropical description of the B-model side (complex structure side) of mirror symmetry.
Mark Gross has kindly agreed to participate and help out find a path among the vast amount of material involved. We intend this workshop as an occasion to bring toghether people from various areas of algebraic geometry (and mathematics in general). For this reason, the assumed background will be minimal. In the spirit of a "learning-seminar", most of the talks will be given by non-experts.
The first talks will be accessible to graduate students in algebraic geometry and related fields.
all talks - and refreshments - will be in EH 4088
of Mathematics | 2074
East Hall | 530
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