Mathematical Conversations

Topic: Real zeros of random polynomials in several variables

Speaker: Peter Sarnak

Affiliation: Professor, School of Mathematics

Date & Time: Wednesday December 13th, 2017, 6:00pm - 7:00pm

Location: Dilworth Room

The topology of the zero set and nesting properties of a random homogeneous real polynomial of large degree has a universal behavior depending only on the dimension. We discuss this and an apparent relation to super-critical percolation in dimensions 3 and higher.