Finite approximations as a tool for studying triangulated categories

DOI10.4171/icm2022/35arXiv2211.06587OpenAlexW4389775360MaRDI QIDQ6119679

Amnon Neeman

Publication date: 24 March 2024

Published in: International Congress of Mathematicians (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.06587

zbMATH Keywords

derived categoriestriangulated categoriesnormsmetricst-structures

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

• Smooth and proper noncommutative schemes and gluing of dg categories
• Lefschetz decompositions and categorical resolutions of singularities
• K-theory and analytic isomorphisms
• Integral transforms for coherent sheaves
• Algebraic \(K\)-theory and descent for blow-ups
• $K$-theoretic obstructions to bounded $t$-structures
• Uniqueness of dg enhancements for the derived category of a Grothendieck category
• Strong generators in \(\mathbf{D}^{\mathrm{perf}}(X)\) and \(\mathbf{D}^b_{\mathrm{coh}}(X)\)
• A counterexample to vanishing conjectures for negative \(K\)-theory
• Metrics on triangulated categories
• Negative \(K\)-theory of derived categories
• Base change for semiorthogonal decompositions
• Uniqueness of enhancement for triangulated categories
• Construction of 𝑡-structures and equivalences of derived categories
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• Approximable triangulated categories
• From Ohkawa to Strong Generation via Approximable Triangulated Categories—A Variation on the Theme of Amnon Neeman’s Nagoya Lecture Series
• The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Finite approximations as a tool for studying triangulated categories