Abstract: For a class of Landau-Ginzburg models, Katzarkov-Kontsevich-Pantev proposed some conjectures from the viewpoint of mirror symmetry for Fano manifolds. In this talk, we will explain a result on some versions of their conjectures. More precisely, we give a (classical) Hodge theoretical sufficient condition for a Landau-Ginzburg model to satisfy the following:
(1) the two kinds of Landau-Ginzburg Hodge numbers coincide, and
(2) the meromorphic flat bundle with a lattice associated to the Landau-Ginzburg model is special.
If time permits, we also discuss some examples of Landau-Ginzburg models which satisfy the condition.
Hodge-Tate conditions for Landau-Ginzburg models
03.11.2017 15:30 - 16:30
Location:
SR 11, 2. OG., OMP 1