One of the central questions of random algebraic geometry is to describe the expected behaviour of randomly chosen algebraic varieties. In this talk I wish to explain two results concerning plane algebraic curves randomly chosen with respect to Kostlan distribution. The first of these results is about the expected depth of nested ovals of a random real algebraic plane curve. The second is about the expected area of the amoeba of a random complex algebraic plane curve. Both results are based on joint work with Turgay Bayraktar.
On the depth and amoebas of random plane curves
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Nom de l'orateur
Özgür Kişisel
Etablissement de l'orateur
Middle East Technical University
Date et heure de l'exposé
Lieu de l'exposé
Salle Éole