Department Colloquium Summer 2026
Department, Colloquium |
Photo: Mikael Kristenson / unsplash.com
Organisational team:
Dates
Wednesday, 20.05.2026 in MI HS 3 (MI 00.06.011)
15.30 - 16.00: Coffee break Common Room 02.08.021
16.00 - 17.00 Uhr: Edmund Harriss, University of Arkansas
Inaugural Lecture:
Wednesday, 01.07.2026 in MI HS 3 (MI 00.06.011)
15.30 - 16.00: Coffee break Common Room 02.08.021
16.00 - 17.00: Deniz Kus, TUM
Symmetry, Combinatorics, and Quantum Groups
Deniz Kus, TUM
Abstract:
Symmetries play a fundamental role in mathematics and physics. They govern the structure of physical systems, organize geometric objects, and provide a unifying framework across diverse areas of mathematics. The language of symmetry is provided by groups and Lie algebras, while representation theory studies these structures through their linear actions on vector spaces. In this talk, I will discuss some of the central ideas and motivations underlying the representation theory of Lie algebras and quantum groups. Although quantum groups originated in the study of integrable systems and quantum physics, they have since developed into a rich mathematical theory with deep connections to algebra, geometry, and combinatorics. Through a selection of examples, including excellent filtrations, I will illustrate how representations can be studied using combinatorial models, and how these tools provide insight into the structure of representations and their characters.
Mathematical Manufacturing since Euclid
Edmund Harriss, University of Arkansas
Abstract:
Euclid's elements is regarded as an early example of proof and axiomatic methods but it also has a tradition within carpentry and construction. The straight line and circle can just as easily be regarded as abstract representations of the action of straight edge and compass just as easily as the other way round. Today we have many machines that can play the same role creating a bridge between the abstract and the physical. What potentials do they provide for realising mathematical concepts in physical space and creating manufacturing techniques?
In this talk I will look at several examples of machines with mathematical models, including affine spaces, ruled and developable surfaces and the gradient present in the grain of wood.