A triangulated category is an important type of a mathematical environment in which algebraic structures exist and interact. The information contained in a triangulated category provides us with insights on properties, identities, or approximations of other mathematical objects. In his Ph.D. thesis, Cyril Matoušek studied a procedure of a construction of a new triangulated category known as metric completion. A triangulated category can possess many different metrics each yielding a different completion. Cyril Matoušek’s work presents several classification results on how metrics and the corresponding completions look like for triangulated categories arising in derived representation theory of finite dimensional algebras and commutative rings.

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

This summary was prepared by the PhD student.

Time: Monday, 18 May 2026 at 14:15
Place: Building 1531, room 215, Lecture Theatre Auditorium D3, Department of Mathematics, Aarhus University, Ny Munkegade 116, 8000 Aarhus C
Title of PhD thesis: Completing derived representation theory of algebras - Metrics on triangulated categories and applications
Contact information: Cyril Matoušek, e-mail: cyril.matousek@math.au.dk, tel.: +45 87151865
Members of the assessment committee:
Professor Petter Andreas Bergh, Department of Mathematical Sciences, NTNU Trondheim, Norway
Professor Gustavo Jasso, Mathematical Institute, University of Cologne, Germany
Professor Peter Jørgensen (chair), Department of Mathematics, Aarhus University, Denmark
Main supervisor:
Associate Professor Sira Helena Gratz, 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.