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Responsabili:

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

## Evento

Titolo: Mok characteristic varieties and the normal holonomy group
Quando: 18/12/2013 - 11:10
Dove: Palazzo Campana - TORINO
Aula: Aula C
Relatore: Antonio Di Scala
Afferenza: Politecnico di Torino
Locandina:

## Descrizione:

Sunto: Let $M$ be a (connected) complex manifold holomorphically immersed in $\mathbb{CP}^n$.
Let $T\mathbb{CP}^n|_M= TM \oplus \nu(M)$ be the orthogonal
splitting in tangent and normal bundles with respect to the
Fubini-Study metric. The normal bundle is endowed with
a canonical connection $\nabla^\perp$ called the normal
connection. The normal holonomy group is by definition
the holonomygroup of the normal connection
of the normal bundle. I will explain how to classify such holonomy groups
and show that their action impose strong conditions
to the manifold $M$. In particular if the action of the normal holonomy group is
irreducible but not transitive in the projectivization of
the normal bundle then $M$ is a so called Mok characteristic varieties associated
to bounded symmetric domains. Joint work F. Vittone

## Sede

Sede:
Indirizzo: Via Carlo Alberto n.10
CAP: 10123
Città: TORINO