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
2022/2023

Steffen
Oppermann

Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS
2022/2023

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
2022/2023

Jenny
August

Postdoctoral Fellow
Aarhus University
Year at CAS
2022/2023

Ulrich
Bauer

Associate Professor
Technical University of Munich
Year at CAS
2022/2023

Karin
Baur

Professor
University of Leeds
Year at CAS
2022/2023

Petter Andreas
Bergh

Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS
2022/2023

Håvard Bakke
Bjerkevik

Dr.
Technical University of Munich
Year at CAS
2022/2023

Magnus Bakke
Botnan

Assistant Professor
Vrije Universiteit Amsterdam
Year at CAS
2022/2023

Eric
Hanson

Postdoctoral Fellow
Université de Sherbrooke
Year at CAS
2022/2023

Karin
Jacobsen

Dr.
Norwegian University of Science and Technology (NTNU)
Year at CAS
2022/2023

Gustavo
Jasso

Senior Lecturer
Lund Universtiy
Year at CAS
2022/2023

Peter
Jørgensen

Professor
Aarhus University
Year at CAS
2022/2023

Sondre
Kvamme

Associate Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS
2022/2023

Bethany Rose
Marsh

Professor
University of Leeds
Year at CAS
2022/2023

Steve
Oudot

Professor
Inria Saclay Centre
Year at CAS
2022/2023

Pierre-Guy
Plamondon

Professor
Université de Versailles Saint-Quentin
Year at CAS
2022/2023

Øyvind
Solberg

Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS
2001/2002
2022/2023

Hugh
Thomas

Associate Professor
Université du Québec à Montréal
Year at CAS
2022/2023
profile image illustration

Gordana
Todorov

Professor
Northeastern University
Year at CAS
2022/2023

Laertis
Vaso

Postdoctoral Fellow
Norwegian University of Science and Technology (NTNU)
Year at CAS
2022/2023

Affiliated researchers

Francesca
Felede

Research Fellow
University of Leeds

Sibylle
Schroll

Professor
University of Cologne

News

09 December 2022

Meet the Project: Representation theory – Combinatorial aspects and applications

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

‘In real life, almost nothing is linear’

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