2022/2023

Representation Theory

Combinatorial Aspects and Applications

Mathematics

Principal investigators

Aslak Bakke
Buan

Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS

Steffen
Oppermann

Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS

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

Claire
Amiot

Lecturer
Université Grenoble Alpes
Year at CAS

Jenny
August

Postdoctoral Fellow
Aarhus University
Year at CAS

Ulrich
Bauer

Associate Professor
Technical University of Munich
Year at CAS

Karin
Baur

Professor
University of Leeds
Year at CAS

Petter Andreas
Bergh

Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS

Håvard Bakke
Bjerkevik

Dr.
Technical University of Munich
Year at CAS

Magnus Bakke
Botnan

Assistant Professor
Vrije Universiteit Amsterdam
Year at CAS

Eric
Hanson

Postdoctoral Fellow
Université de Sherbrooke
Year at CAS

Karin
Jacobsen

Dr.
Norwegian University of Science and Technology (NTNU)
Year at CAS

Gustavo
Jasso

Senior Lecturer
Lund Universtiy
Year at CAS

Peter
Jørgensen

Professor
Aarhus University
Year at CAS

Sondre
Kvamme

Associate Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS

Bethany Rose
Marsh

Professor
University of Leeds
Year at CAS

Steve
Oudot

Professor
Inria Saclay Centre
Year at CAS

Pierre-Guy
Plamondon

Professor
Université de Versailles Saint-Quentin
Year at CAS

Øyvind
Solberg

Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS

Hugh
Thomas

Associate Professor
Université du Québec à Montréal
Year at CAS
profile image illustration

Gordana
Todorov

Professor
Northeastern University
Year at CAS

Laertis
Vaso

Postdoctoral Fellow
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

09 December 2022
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.

22 September 2020
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.

Events