Homological algebra is a tool that can help to study algebraic structures in mathematics. In his PhD studies, Anders S. Kortegård used homological methods to study the correspondence between certain self-injective algebras, showing that they have similar homological properties. Besides this, Anders studied proper abelian subcategories, which are abelian categories that are nicely embedded into triangulated categories. These proper abelian subcategories, generalize other well-known embeddings. Anders used proper abelian subcategories to generalize results that was previously known only for these other embeddings.

The PhD study was completed at the Department of Mathematics, Faculty of Natural Sciences, Aarhus University.

This summary was prepared by the PhD student.

Time: Wednesday, 30 October 2024 at 15:00
Place: Building 1531, room 113, Lecture Theatre Aud D1, Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000 Aarhus C
Title of PhD thesis: Homological Algebra of Proper Abelian Subcategories
Contact information: Anders Sten Kortegård e-mail: kortegaard@math.au.dk, tel.: +45 22 18 43 21

Members of the assessment committee:
University Lecturer emeritus Karin Erdmann, Mathematical Institute, University of Oxford, United Kingdom

Professor Markus Linckelmann, Department of Mathematics, City, University of London, United Kingdom

Associate Professor Erik Skibsted (chair), Department of Mathematics, Aarhus University, Denmark

Main supervisor:
Professor Peter Jørgensen, Department of Mathematics, Aarhus University, Denmark

Language: The PhD dissertation will be defended in English

The defence is public.
The PhD thesis is available for reading at the Graduate School of Natural Sciences/GSNS, Ny Munkegade 120, building 1521, 8000 Aarhus C