The AROMATH seminar will usually happen on Tuesday at 10h30-11h30 every two weeks, except for a few deviations.
The presentations will typically take place at Inria Sophia Antipolis, Byron Blanc 106, and also online.
To join online, at https://cutt.ly/aromath or with a web browser at https://cutt.ly/aromath-web
use meeting ID: 828 5859 7791, passcode: 123
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.
