Robin Guilbot

Title: Embedded mirror symmetry: beyond complete intersections

Abstract:
Mirror Symmetry for families of Calabi-Yau varieties is best understood in the case of complete intersections 
in Gorenstein Fano toric varieties. In this case, by Batyrev and Borisov work, Mirror Symmetry appears as a direct
counterpart of natural dualities between polytopes. I will recall this beautiful construction and its Gross-Siebert 
enhancement by toric degenerations. Then I will present a generalization to a class of non complete intersection 
Calabi-Yau varieties that contains at least those defined by the 4 x 4 Pfaffians of a 5 x 5 skew symmetric matrix, 
and could be much wider.