Torgeir Aambø

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20212026

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math.AT2024

Classification of localizing subcategories along t-structures

Torgeir Aambø

We study the interplay between localizing subcategories in a stable $\infty$ -category $C$ with $t$ -structure $(C_{\geq 0}, C_{\leq 0})$ , the prestable…

math.AT2024

Positselski duality in $\infty$ -categories

Torgeir Aambø

We introduce the notion of a contramodule over a cocommutative coalgebra in a presentably symmetric monoidal $\infty$ -category $C$ , and prove a symmetric monoidal $\infty…

math.AT2024

Algebraicity in monochromatic homotopy theory

Torgeir Aambø

Using Patchkoria--Pstrągowski's version of Franke's algebraicity theorem, we prove that the category of $K_{p} (n)$ -local spectra is exotically equivalent to the category of derived $…

math.AT2021

Formality of spaces with Lusternik-Schnirelmann category 1

Torgeir Aambø

It is a well known fact that formal dg-algebras admit no non-trivial Massey products, while the converse fails. We prove that by restricting to dg-algebras whose induced product on…

Classification of localizing subcategories along t-structures

Positselski duality in ∞-categories

Algebraicity in monochromatic homotopy theory

Formality of spaces with Lusternik-Schnirelmann category 1

Positselski duality in $\infty$ -categories