Introduction to Gross-Siebert Program
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
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.