Department Kolloquium Mathematik WS 2024/25
Department, Kolloquium |
Photo: Mikael Kristenson / unsplash.com
Organisatoren:
Termine
Vortrag: Mittwoch, 05.02.2025 16:00 - 17:00 Uhr
Sprecher: Christoph Schweigert (Hamburg)
Vortrag: (Mittwoch, 18.12.2024, 16:00 - 17:00 Uhr) abgesagt wegen Krankheit
Sprecher: Mario Kieburg
From tensor networks to Frobenius Schur indicators: some applications of state-sum models with boundaries
Christoph Schweigert (Hamburg) Mittwoch, 05.02.2025 16:00 - 17:00 Uhr - HS3 (MI 00.06.011)
Abstract:
State-sum constructions have numerous applications in both mathematics and physics. In mathematics, they yield invariants for knots and manifolds and serve as a powerful organizing principle in representation theory. To illustrate this principle, we discuss equivariant Frobenius-Schur indicators. In the context of physics, we explain how state-sum models offer a conceptual framework for tensor network models, based on collaboration with Fuchs, Haegeman, Lootens, and Verstraete.
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.