11 apr 2012 -- 17:00   [open in google calendar]

Sala Seminari, Department of Mathematics, Pisa University

Abstract.

Certain Riemannian ambient spaces carry natural calibrating forms, leading to area-minimizing submanifolds of particular geometric interest. I will introduce the case of Cⁿ (more generally, Calabi-Yau manifolds) and the corresponding calibrated submanifolds (Special Lagrangian -SL). I will present recent gluing constructions for SL submanifolds paying particular attention to the analytic (rather than geometric) aspects of the problem.