Middle East Technical University ODTÜ-Bilkent Algebraic Geometry Seminars

Random Real Algebraic Plane Curves
Ali Ulaş Özgür Kişisel
ODTÜ, Turkey
Özet : There has been growing interest in recent years on random objects in algebraic geometry. The expected number of real roots of a univariate polynomial has been studied for different probability measures on the space of polynomials, by many authors. After discussing some of these results, I will switch to multivariate polynomials and survey some of the known results regarding the expected number of connected components of a real algebraic plane curve and their expected volumes. Finally, I will present some of our recent results with Turgay Bayraktar regarding the expected depth of a real algebraic plane curve.
  Tarih : 01.11.2019
  Saat : 15:40
  Yer : Mathematics Seminar Room, ODTÜ.
  Dil : English
  Not : Tea and cookies will be served before the talk.