### Speaker: Mateus Sousa

### Basque Center for Applied Mathematics, Spain

### Date: Tuesday, November 8, 2022 at 12 Santiago time

**Abstract**: In this talk we will discuss some problems related to the notion of Fourier interpolation: formulas where one can recover functions from its values over a certain discrete set, and the values of its Fourier transform over a dual discrete set. These formulas arrive naturally in many situations, and we will mention a few related to certain kinds of uncertainty principles, and the theory of sphere packing.

This talk is meant for a broad audience with basic knowledge in analysis.

**Venue:**Online via Zoom / Sala de seminarios John Von Neumann, 7th floor, Beauchef 851

**Chair:** Rayssa Caju