Department Kolloquium Mathematik WS 2024/25

Random Matrices and their Impact on our Life

Mario Kieburg (Melbourne) (Mittwoch, 18.12.2024 16:00 - 17:00 Uhr) Termin krankheitsbedingt abgesagt

Abstract:

Random matrices are amazing mathematical objects as they combine various mathematical fields, from linear algebra to probability, differential geometry, group theory, etc. Due to this richness, it is not surprising that they are versatile tools employed in Engineering, Physics, Statistics, and many more. Modern applications can be found in machine learning, quantum information, and wireless telecommunications. In my presentation, I will show you the basic concepts of random matrices, what kinds of objects are usually studied, and which important theorems have been proven. To the end I will turn to the relation of Harmonic Analysis and Random Matrix Theory and how it has helped to solve some contemporary problems.