@inproceedings{ffb64c0f9e024586ab029a81b485a44e,
title = "Algebraic geometry and sums of squares",
abstract = "We give a self-contained introduction to the geometry of real projective varieties. We then study the relationship between nonnegative polynomials and sums of squares on such varieties and explain a recent geometric characterization of projective varieties for which these two concepts coincide. This characterization unifies and explains several well-known theorems and connects sums of squares with one of the cornerstones of classical algebraic geometry, the classification of varieties of minimal degree.",
keywords = "Nonnegative polynomials, Sums of squares, Varieties of minimal degree",
author = "Mauricio Velasco",
note = "Publisher Copyright: {\textcopyright} 2018 American Mathematical Society.; AMS Short Course on Sum of Squares: Theory and Applications, 2019 ; Conference date: 14-01-2019 Through 15-01-2019",
year = "2020",
doi = "10.1090/psapm/077/04",
language = "Ingl{\'e}s",
isbn = "9781470450250",
series = "Proceedings of Symposia in Applied Mathematics",
publisher = "American Mathematical Society",
pages = "59--82",
editor = "Parrilo, \{Pablo A.\} and Thomas, \{Rekha R.\}",
booktitle = "Sum of Squares",
}