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UID:5454@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250213T110000
DTEND;TZID=Europe/Paris:20250213T120000
DTSTAMP:20250107T123224Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-167/
SUMMARY:Aloïs Demory (...): Primitive combinatorial patchworking under rel
 axed hypotheses
DESCRIPTION:Aloïs Demory: Primitive combinatorial patchworking is a combin
 atorial method introduced by O. Viro that allows one to obtain real algebr
 aic hypersurfaces starting from a convex triangulation of a convex polytop
 e together with signs on the vertices of the triangulation. Over the years
 \, it was used to construct many examples of topologically interesting non
 -singular real algebraic hypersurfaces in various ambient spaces.\n\nThe n
 on-singular hypersurfaces produced using this method have very specific to
 pological properties that are quite well understood when the polytope corr
 esponds to a smooth toric variety\, and it turns out that these properties
  persist even when the triangulation is not convex. One can then wonder if
  similar properties can also be observed under more relaxed hypotheses: wh
 at if the polytope corresponds to a singular toric variety ?  what if\, i
 nstead of polytopes\, we consider triangulations of more general objects ?
 \n\nWe describe some very partial answers to these questions\, with an emp
 hasis on the case of surfaces in three-dimensional ambient spaces.
CATEGORIES:Séminaire,Géométrie et Topologie de Marseille
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DTSTART:20241027T020000
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