Triangulated Categories in Representation Theory and Beyond : The Abel Symposium 2022 (Abel Symposia)

Bergh, Petter Andreas (EDT)/ Oppermann, Steffen (EDT)/ Solberg, Øyvind (EDT)

Springer International Publishing AG（2025/08発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 270 p.
• 言語 ENG
• 商品コード 9783031577918

Full Description

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.

Contents

- 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.