Annual Seminar for Mathematics Research Scholars
Date: Thursday, 05 October 2023
Time: 2:00 PM
Venue: Lecture Hall 801
An Uncertainty Principle for Cyclic groups of prime order
Preeti
Chennai Mathematical Institute.
05-10-23

---

Abstract

For a function $f$ defined on a finite abelian group $G$, the classical Uncertainty principle states the product of the cardinalities of support of $f$ and support of its Fourier transform cannot be small. In this talk we will discuss a result of Terence Tao which states that when $G$ is cyclic group of prime order, this classical version of Uncertainty principle can be considerably improved and such an improvement is optimal. Consequently we will see a short proof of the well known Cauchy-Davenport inequality.