Adiabatic limits of Ricci-flat K\"ahler metrics
Lundi, 5 Septembre, 2016 - 10:30
Résumé :
I will discuss the behavior of Ricci-flat K\"ahler metrics on the total space of a fibration in the adiabatic limit when the volume of the fibers shrinks to zero. On the geometric side, this problem is relevant for the Strominger-Yau-Zaslow picture of mirror symmetry. On the analytic side, it is equivalent to studying solutions of a degenerating family of complex Monge-Ampere equations.
Thème de recherche :
Algèbre et géométries
Salle :
4