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The mirror dual of the cubic threefold

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Helge Ruddat
Don, 19/04/2012 - 10:30 - 12:00
MPIM Lecture Hall

We construct the mirror dual of the cubic threefold using a duality of Landau Ginzburg models that has
been developed in a joint work with Mark Gross and Ludmil Katzarkov for the study of mirror duals
of varieties of general type. We show that our five-dimensional model is equivalent to the three-dimensional
ones from the literature and study its geometry in detail, verify a conjecture of Katzarkov, discuss the
cohomology of the sheaf of vanishing cycles, homological mirror symmetry and Orlov's theorem.

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