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Relative Homological Algebra Via Truncations

Related publications (30)

Relative plus constructions

Let h be a connective homology theory. We construct a functorial relative plus construction as a Bousfield localization functor in the category of maps of spaces. It allows us to associate to a pair (X,H), consisting of a connected space X and an hperfect ...

2023

The multivariate Serre conjecture ring

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It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension

Academic Press Inc Elsevier Science2023

Chromatin modules and their implication in genomic organization and gene regulation

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Regulation of gene expression is a complex but highly guided process. While genomic technologies and computational approaches have allowed high-throughput mapping of cis-regulatory elements (CREs) and their interactions in 3D, their precise role in regulat ...

ELSEVIER SCIENCE LONDON2023

Cohomology in singular blocks of parabolic category O

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We determine the dimensions of Ext -groups between simple modules and dual generalized Verma modules in singular blocks of parabolic versions of category O for complex semisimple Lie algebras and affine Kac-Moody algebras. ...

2023

Long-term performance and reliability of silicon heterojunction solar modules

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The high-efficiency silicon heterojunction (SHJ) technology is now perceived mature enough to enter the Giga-Watt manufacturing scale with several players around the globe. The growth of the SHJ technology requires confidence from manufacturers, investors, ...

2023

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

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We determine the bounded cohomology of the group of homeomorphisms of certain low-dimensional manifolds. In particular, for the group of orientation-preserving homeomorphisms of the circle and of the closed 2-disc, it is isomorphic to the polynomial ring g ...

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Persistence and the Sheaf-Function Correspondence

Nicolas Michel Berkouk

The sheaf-function correspondence identifies the group of constructible functions on a real analytic manifold M with the Grothendieck group of constructible sheaves on M. When M is a finite dimensional real vector space, Kashiwara-Schapira have recently in ...

Cambridge Univ Press2023

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

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Let G be either a simple linear algebraic group over an algebraically closed field of characteristic l>0 or a quantum group at an l-th root of unity. The category Rep(G) of finite-dimensional G-modules is non-semisimple. In this thesis, we develop new tech ...

EPFL2022

A Shadow Perspective on Equivariant Hochschild Homologies

Kathryn Hess Bellwald, Inbar Klang

Shadows for bicategories, defined by Ponto, provide a useful framework that generalizes classical and topological Hochschild homology. In this paper, we define Hochschild-type invariants for monoids in a symmetric monoidal, simplicial model category V, as ...

OXFORD UNIV PRESS2022

Relative Homological Algebra Via Truncations

Relative plus constructions

The multivariate Serre conjecture ring

Chromatin modules and their implication in genomic organization and gene regulation

Cohomology in singular blocks of parabolic category O

Long-term performance and reliability of silicon heterojunction solar modules

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

Persistence and the Sheaf-Function Correspondence

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

A Shadow Perspective on Equivariant Hochschild Homologies

Graph Chatbot

Relative plus constructions

The multivariate Serre conjecture ring

Chromatin modules and their implication in genomic organization and gene regulation

Cohomology in singular blocks of parabolic category O

Long-term performance and reliability of silicon heterojunction solar modules

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

Persistence and the Sheaf-Function Correspondence

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

DARKFLUX: A new tool to analyze indirect-detection spectra of next-generation dark matter models

A Shadow Perspective on Equivariant Hochschild Homologies

DARKFLUX: A new tool to analyze indirect-detection spectra of next-generation dark matter models