## “Manifolds with two projective bundles structures”

Tuesday, May 14th, 2019, 14:00 - Room 1BC45 - Gianluca Occhetta (Trento)

Abstract

Having a projective bundle structure makes a variety rather special, so having two different projective bundle structure should be quite uncommon, especially if we assume that the Picard group of the variety is two-dimensional (in this case the variety is Fano).

On the other hand, such varieties appear in many different – apparently unrelated – contexts, for instance in the study of dual defective varieties, flops and horospherical varieties; therefore classification results for these varieties are very interesting.

In my talk I will review old and new results about this problem.