Ricominciano i seminari del ciclo "Sistemi dinamici olomorfi (e dintorni)": ecco il prossimo.

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%% ---> Venerdi' 21 settembre 2007, ore 14:00 <----

Centro de Giorgi, Sala conferenze

Tatsuo Suwa (Niigata University)

"Analytic intersection theory and an application to complex dynamics"

ABSTRACT: We have a localization theory of characteristic classes of vector bundles or sheaves, once we have some kind of vanishing theorem. One type of vanishing is by the existence of a frame. The localization theory that arises from this has many applications. One of them is an analytic intersection theory on singular varieties. As another type of vanishing, we have that of Bott type, which leads to a residue theory of singular holomorphic foliations. In this talk, I try to explain the analytic intersection theory on singular varieties as above. Then I discuss residue theory on singular surfaces and, as an application, show the existence of a parabolic curve for a holomorphic self-map, tangent to the identity, of a complex surface with certain type of singularities, generalizing results of M. Abate (joint work with F. Bracci).

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Ciao, Marco

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Marco Abate Tel: +39/050/2213.230 Dipartimento di Matematica Fax: +39/050/2213.224 Universita' di Pisa Largo Pontecorvo 5 E-mail: abate@dm.unipi.it 56127 Pisa Italy Web: www.dm.unipi.it/~abate/

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