# AG : Thomas Hudson (Wuppertal Univ.) : Towards an equivariant Bezout’s theorem

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# AG : Thomas Hudson (Wuppertal Univ.) : Towards an equivariant Bezout’s theorem

## 14 décembre 2021 / 13:30 - 14:30

Abstract: Bezout’s theorem is a fundamental result in enumerative  geometry which can be used to compute the degree of the  intersection of a finite number of varieties in general position.  In its simplest formulation it predicts the number of points of  intersection of n hypersurfaces in \$\mathbb{P}^n\$, which, when  counted appropriately, is given by the product of the degrees of  the defining polynomials. The goal of this talk, based on a joint  work with S. Costenoble and S. Tilson, is to illustrate how to  generalise this classical result and its proof to the case of  varieties endowed with an action of \$\mathbb{Z}/2\$. The solution to  this problem crucially relies on the computation for projective  spaces of a generalisation of Bredon equivariant cohomology due to  Costenoble-Waner.

AG : Thomas Hudson (Wuppertal Univ.) : Towards an equivariant Bezout’s theorem

## Détails

Date :
14 décembre 2021
Heure :
13:30 - 14:30
Catégorie d’évènement:

## Organisateurs

Luc Pirio
Nicolas Perrin
Pierre-Guy Plamondon