Speaker: Turgay Bayrakter
Sabanci University
Will give a Felix Klein Seminar entitled:
Random real algebraic geometry and random amoebas
Abstract: Classical problems in algebraic geometry concern invariant or extremal properties of algebraic varieties whereas in the probabilistic version we focus on statistical properties of fundamental invariants. For example, a real algebraic projective plane curve of degree d has at most g+1=(d-1)(d-2)/2+1 connected components where g denotes the genus, which is an extremal property; whereas a random real algebraic projective degree d plane curve in a suitable precise sense (to be explained in the talk) has an expected number of connected components of order d. In this talk, I will discuss some recent results on the statistical properties of connected components and amoebas of random algebraic varieties. The talk is based on a joint works with Emel Karaca, and another joint work with Özgür Kişisel.
Date: 03-21-2024
Time: 2:00 pm
Location: 125 Hayes-Healy Bldg