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Séminaire des doctorants - 5 avril 2017

Matilde Manzaroli (CMLS) - Real algebraic curves on RP2

Salle de conférence du CMLS - 16h00

The classification of isotopy types realized by real algebraic curves of a fixed degree in RP2 is a classical subject in which spectacular progress have been achieved since 1970. In this talk we propose to give an introduction to this subject, in particular speaking about the Harnack-Klein inequality, which gives a bound for the number of connected components of real curves with a fixed degree on RP2. Finally we give a rapid glance to another ambient surface.

CMAP UMR 7641 École Polytechnique CNRS, Route de Saclay, 91128 Palaiseau Cedex France, Tél: +33 1 69 33 46 23 Fax: +33 1 69 33 46 46