SPEAKER  |  Helge Ruddat

INSTITUTE  |  JGU Mainz, DE

DATE  |  May 7(Thu), 2015

TIME  |  09:30

PLACE  |  1114 International Conference Room, KIAS

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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.