Chennai Mathematical Institute

Seminars




CMI-IMSc Number Theory Seminar
Date: Tuesday, 1 April 2025
Time: 3.30 to 4.30 PM
Venue: Seminar Hall, CMI
Exponential sums over small subgroups

Dwaipayan Mazumder
Chennai Mathematical Institute.
01-04-25


Abstract

The theory of exponential sums is an interesting topic in number theory. In particular the study of "short" sums remains one of the most mysterious things. In this talk, we will discuss a result of Bourgain, Glibichuk and Konyagin which concerns exponential sums over "small" subgroups of $\mathbb{F^*}_p$ and briefly discuss the method of the proof.