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

Dettagli dell'evento


dalle 16:00 alle 17:00


Dipartimento di Matematica e Informatica - Aula 2

Persona di riferimento

Paltin Ionescu

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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.