Sondre Kvamme

activity

20182026

collaborators

4 papers

math.RT2026

Higher torsion classes, $τ_{d}$ -tilting theory and silting complexes

Jenny August, Johanne Haugland, Karin M. Jacobsen +3

Initiated in work by Adachi, Iyama and Reiten, the area known as $τ$ -tilting theory plays a fundamental role in contemporary representation theory. In this paper we explore a highe…

math.RT2025

Higher extension closure and $d$ -exact categories

Sondre Kvamme

We prove that any weakly idempotent complete $d$ -exact category is equivalent to a $d$ -cluster tilting subcategory of a weakly idempotent complete exact category, and that any weak…

math.RT2024

An introduction to monomorphism categories

Sondre Kvamme

This manuscript was written for the Proceedings of the ICRA 2022 in Buenos Aires. It can be divided into four parts: The first part is an introduction to the theory of monomorphism…

math.RT2018

Co-Gorenstein algebras

Sondre Kvamme, Rene Marczinzik

We review the theory of Co-Gorenstein algebras, which was introduced by Beligiannis in the article "The Homological Theory of Contravariantly Finite Subcategories: Gorenstein Categ…

Higher torsion classes, τd​-tilting theory and silting complexes

Higher extension closure and d-exact categories

An introduction to monomorphism categories

Co-Gorenstein algebras

Higher torsion classes, $τ_{d}$ -tilting theory and silting complexes

Higher extension closure and $d$ -exact categories