Steffen Oppermann and Aslak Buan, both professors at the Department of Mathematical Sciences at the Norwegian University of Science and Technology (NTNU), are co-leading the CAS-project “Representation theory – Combinatorial aspects and applications” this year. Their project is about representation theory, which studies nonlinear algebraic structures by representing their elements as linear transformations of vector spaces.
2022/2023
Representation Theory
Representation Theory
Combinatorial Aspects and Applications
Mathematics
Principal investigators
Abstract
Representation theory studies nonlinear algebraic structures by representing their elements as linear transformations of vector spaces. The interplay between homological and abstract categorical notions and concrete combinatorial structures is pivotal for studying representations of finite dimensional algebras. There has recently been fruitful interaction between this branch of representation theory and mathematical physics, algebraic combinatorics and topological data analysis, exemplified by the concepts cluster categories and of persistence modules, respectively.
In this project, experts from these fields will cooperate with representation theory specialist, aiming both for intrinsic progress in representation theory as well as concrete applications within these fields of application.
Fellows
Petter Andreas Bergh
Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS
Sondre Kvamme
Associate Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS
Affiliated researchers
Francesca
Felede
Research Fellow
University of Leeds
Sibylle
Schroll
Professor
University of Cologne
News
The 2022/23 CAS project Representation Theory – Combinatorial Aspects and Applications will deal with problems that are both linked to physical applications as well as questions more intrinsic to the nature of mathematics.