Giovedi 11 Dicembre alle ore 15 Sala Seminari,

Erwan Brugalle terra' un Seminario sul seguente argomento:

Symmetric curves of degree 7 in RP^2 : Algebraic and pseudo-holomophic classifications.

A pseudo-holomorphic curve in CP² is the analogous of an algebraic curve in an almost complex structure of CP². Since the works of Arnold, Rokhlin, Viro and Orevkov, the pseudo-holomorphic Hilbert 16th problem (which was originally about the arrangement of connected components of a real algebraic curve in RP²) seems to be easier to deal with than the original one. An open problem is to know if the algebraic answer coincide with the pseudo-holomorphic one. In my talk I will discuss the case of curves with an additionnal action given by the symmetry [x:y:z] -> [x:-y:z] of CP². I will give both algebraic and pseudo-holomorphic classifications in degree 7. It turns out that this degree is the first where these classifiaction differ.

Giulia Curciarello Segreteria Didattica tel: 050-2213219 e-mail curicare@dm.unipi.it

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