Évènement

Date(s) : 16/11/2023   iCal
11h00 - 12h00

In 2020, Parusinski and Rond proved that every algebraic set V ⊂ Rⁿ is homeomorphic to a Q^r-algebraic set V’ ⊂ Rⁿ, where Q^r denotes the field of real algebraic numbers. The aim of this talk is to introduce a new approach to real algebraic geometry with equations over Q in order to provide some classes of algebraic sets that positively answer the following open problem: Q-Algebraicity problem: (Parusinski, 2021) Is every algebraic set V ⊂ Rⁿ homeomorphic to some Q-algebraic set , with m ≤ n ?

Emplacement
I2M Saint-Charles - Salle de séminaire

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• Séminaire