Embeddings of the Riemann sphere and quaternionic geometry I - R. Pantilie ( Istituto di Matematica dell'Accademia Romena)

Dettagli dell'evento

11/10/2016
dalle 16:30 alle 17:30

Dipartimento di Matematica e Informatica - Aula 2

Paltin Ionescu

Abstract: Motivated by the geometry encoded by the embeddings of the Riemann sphere

with nonnegative normal bundles, I shall introduce the $\rho$-quaternionic manifolds.

I shall show that these exist in abundance and that, in this setting, the Ward transform

is just a manifestation of the functoriality of the correspondence between the

$\rho$-quaternionic manifolds and their twistor spaces. This can be applied, for example,

to prove that the quaternionic projective space is the only (classical) quaternionic manifold

with trivial Marchiafava-Romani class and whose twistor space is Fano. Time permitting,

I shall describe the morphisms of the category of quaternionic manifolds.