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Mathematics Conferences Introduction to Gross-Siebert Program
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Introduction to the Gross-Siebert program
SPEAKER  |  Helge Ruddat
INSTITUTE  |  JGU Mainz, DE
DATE  |  May 7(Thu), 2015
TIME  |  09:30
PLACE  |  1114 International Conference Room, KIAS
Keyword  |  
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ABSTRACT  |  Introduction to the Gross-Siebert program (Ruddat) We introduce the most versatile mirror construction known to date. The strength of this program is that it incorporates various points of view simultaneously. Every Batyrev-Borisov mirror pair fits in, so there are numerous examples. The construction centers at a maximal degeneration of the geometry which is in line with mathematical physics ("large complex structure limit"). Furthermore, the Strominger-Yau-Zaslow conjecture is naturally in line with this framework. It gives an intrinsic construction of mirror pairs as dual torus fibrations over a real affine manifold. We explain these concepts and give examples.
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