Modul: MAT075 Zurich Graduate Colloquium

## What is... the MDS conjecture?

Alessandro Neri talk

**Date:** 21.05.19 **Time:** 17.15 - 18.30 **Room:**

The MDS conjecture dates back to 1955, and was proposed by Segre. It takes its name from tha family of Maximum Distance Separable codes, used in algebraic coding theory for communication in presence of noise. These codes are of high interest since they have the greatest error correction and detection capabilities. Moreover, they have equivalent descriptions in the language of projective geometry, vector spaces and matrix theory. Many of the most important results on the MDS conjecture obtained so far are due to these connections.

The aim of the talk is to answer the following questions: what is the theory of error correcting codes? What is a linear code? What are the links between coding theory, projective geometry, vector spaces and matrix theory? What is the MDS conjecture? Finally, some recent results on this conjecture are presented.