Real zeros of random polynomials in several variables

Mathematical Conversations
Topic:Real zeros of random polynomials in several variables
Speaker:Peter Sarnak
Affiliation:Professor, School of Mathematics
Date:Wednesday, December 13
Time/Room:6:00pm - 7:00pm/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.