Embeddings of the Riemann sphere and quaternionic geometry I - R. Pantilie ( Istituto di Matematica dell'Accademia Romena)
Dettagli dell'evento
Quando
11/10/2016
dalle 16:30 alle 17:30
dalle 16:30 alle 17:30
Dove
Dipartimento di Matematica e Informatica - Aula 2
Persona di riferimento
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.