Talk page
Title:
On Random Polynomials and Counting Number Fields: Fourier Analysis Meets Arithmetic Statistics
Speaker:
Abstract:
Behaviors of objects of algebraic interest, such as polynomials, elliptic curves and number fields -- many of which are still unknown -- fall into the field of arithmetic statistics.. By bringing in Fourier analysis to interplay with a wide variety of number theoretic techniques, we were recently able to improve our counting tools. Today I'll discuss predicting random polynomials and determining how many number fields of a given degree there are, both using these techniques in different ways.
Link: