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Mathematics Conferences Introduction to Gross-Siebert Program
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Periods, tropical cycles and canonical coordinates
SPEAKER  |  Helge Ruddat
INSTITUTE  |  JGU Mainz, DE
DATE  |  May 9(Sat), 2015
TIME  |  11:30
PLACE  |  1114 International Conference Room, KIAS
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ABSTRACT  |  Periods, tropical cycles and canonical coordinates (Ruddat) In joint work with Siebert, I compute certain period integrals for these families and show that the mirror map is trivial. In other words, the canonical coordinate of Gross-Siebert is a canonical coordinate in the sense of Hodge theory as defined by Morrison. As a consequence, the formal families lift to analytic families. We introduce tropical 1-cycles that we turn in to ordinary n-cycles whose periods have a simple log pole. We show that such cycles generate the dual of the tangent space to the CY moduli space.
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