Events

Category: General
Enrico Savi (Université Côte d'Azur) - The Q-algebraicity problem in real algebraic geometry

10h30-12h
29 May 2024

In 2020, Parusi´nski and Rond proved that every algebraic set V subset R^n is homeomor-
phic to a Qr-algebraic set V' subset R^n, where Qr denotes the field of real algebraic numbers. Latter
very general result motivates the following open problem:
Q-algebraicity problem: (Parusinski, 2022) Is every algebraic set V subset R^n homeomorphic
to some Q-algebraic set V' subset  R^m, with m >= n?
The aim of the talk is to introduce above open problem and to explain how our new approxi-
mation techniques over Q allowed us to provide some classes of real algebraic sets that positively
answer the Q-algebraicity problem.

Salle Byron Blanc (Y106), Inria

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