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UID:6162@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20220203T140000
DTEND;TZID=Europe/Paris:20220203T150000
DTSTAMP:20250118T132850Z
URL:https://www.i2m.univ-amu.fr/evenements/algebraic-models-of-the-line-in
 -the-real-affine-plane/
SUMMARY:Frédéric MANGOLTE (I2M\, Aix-Marseille Université): Algebraic mo
 dels of the line in the real affine plane
DESCRIPTION:Frédéric MANGOLTE: We study the following real version of the
  famous Abhyankar-Moh Theorem:\nWhich real rational map from the affine li
 ne to the affine plane\, whose real part is a non-singular real closed emb
 edding of R into R^2\, is equivalent\, up to a birational diffeomorphism o
 f the plane\, to the linear one?\nIn this setting\, we show that there exi
 sts non-equivalent smooth rational closed embeddings up to birational diff
 eomorphisms. Some of them are simply detected by the non-negativity of the
  real Kodaira dimension of the complement of their images. This new invari
 ant is derived from topological properties of some "fake real planes" asso
 ciated with such embeddings.\n(Joint Work with Adrien Dubouloz.)\nLes mod
 èles algébriques de la droite dans le plan affine réel.\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Frederic_Mangolte.jpg
CATEGORIES:Groupe de travail,Hybrid,Singularités
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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