Bergh / Oppermann / Solberg Triangulated Categories in Representation Theory and Beyond

The Abel Symposium 2022
1. Auflage 2024
ISBN: 978-3-031-57789-5
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 270 Seiten

Reihe: Springer Nature Proceedings excluding Computer Science

In recent years, triangulated categories have proved very successful as a common mathematical framework for formulating important advances in various fields, and at the same time for the interaction between different subject areas. The purpose of the symposium was therefore not only the study of triangulated categories in itself, but rather fruitful exchanges between disciplines. The symposium brought together established researchers who have made important contributions involving triangulated categories. Many participants came from representation theory, but there were also participants with backgrounds in commutative algebra, geometry and algebraic topology.

Zielgruppe

Research

Autoren/Hrsg.

Bergh, Petter Andreas

Oppermann, Steffen

Solberg, Øyvind

Inhaltsverzeichnis

- Descent in Tensor Triangular Geometry.- An Introduction to Mackey and Green 2-Functors.- Local Dualisable Objects in Local Algebra.- The Donovan--Wemyss Conjecture via the Derived Auslander--Iyama Correspondence.- A Brief Introduction to the Q-Shaped Derived Category.- Completions of Triangulated Categories.- Obstructions to the Existence of Bounded T—Structures.- Some Applications of Extriangulated Categories.- Homological Residue Fields as Comodules over Coalgebras.