On the depth and amoebas of random plane curves

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

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.