Buongiorno,


Ricordo a tutti gli interessati che il prossimo seminario di geometria sarà tenuto da Andrea Seppi e si terrà Martedì 29 Ottobre alle ore 14:30 presso l'aula Riunioni.

Allego titolo e abstract:

Titolo: Topology of convex projective four-manifolds


Abstract: I will discuss topological obstructions for a closed four-manifold that admits a (real) properly convex projective structure. I will present a vanishing result on the Pontryagin classes, that in dimension four provides information on the geography problem for properly convex projective manifolds, and implies the solution to a question of Yves Benoist on the (in)compatibility of real convex projective structures and complex hyperbolic structures. Time permitting, I will also discuss the construction of examples that realize all possible positive values of the Euler characteristic. Based on joint work with Stefano Riolo and Leone Slavich. 

A presto,

Filippo
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