Foundations for Higher and Curved Noncommutative Algebraic Geometry

Project Information

FHiCuNCAG

Grant agreement ID: 817762

DOI

10.3030/817762

Project closed

EC signature date 7 March 2019

Start date 1 June 2019

End date 30 September 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 171 360,00

EU contribution

€ 1 171 360,00

Coordinated by

UNIVERSITEIT ANTWERPEN
Belgium

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (16)

Discrete Vertices in Simplicial Objects Internal to a Monoidal Category

Author(s): Arne Mertens
Published in: Applied Categorical Structures, Issue 33, 2025, ISSN 0927-2852
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10485-025-09812-4

A Deligne conjecture for prestacks

Author(s): Ricardo Campos, Lander Hermans
Published in: Proceedings of the American Mathematical Society, 2025, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/17293

Operadic structure on the Gerstenhaber–Schack complex for prestacks

Author(s): Hoang Dinh Van, Lander Hermans, Wendy Lowen
Published in: Selecta Mathematica, Issue 28, 2022, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-022-00759-1

T-structures on unbounded twisted complexes

Author(s): Francesco Genovese
Published in: Mathematische Zeitschrift, Issue 305, 2023, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-023-03340-4

Uniqueness of dg‐lifts via restriction to injective objects

Author(s): Francesco Genovese
Published in: Journal of the London Mathematical Society, Issue 111, 2025, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.70166

The B_\infty-structure on the derived endomorphism algebra of the unit in a monoidal category.

Author(s): Wendy Lowen, Michel Van den Bergh
Published in: International Mathematics Research Notices, Issue 149(3), 2021, ISSN 1687-0247
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab207

The category of necklaces is Reedy monoidal

Author(s): Borges Marques, Violeta; Mertens, Arne
Published in: Theory and applications of categories, 2024, ISSN 1201-561X
Publisher: R. Rosebrugh

Enriched quasicategories and the templicial homotopy coherent nerve

Author(s): Wendy Lowen, Arne Mertens
Published in: Algebraic & Geometric Topology, Issue 25, 2025, Page(s) 1029-1074, ISSN 1472-2747
Publisher: Geometry & Topology Publications
DOI: 10.2140/agt.2025.25.1029

On the tensor product of well generated DG categories

Author(s): Wendy Lowen, Julia Ramos González
Published in: Journal of Pure and Applied Algebra, 2021, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2021.106843

A Derived Gabriel–Popescu Theorem for t-Structures via Derived Injectives

Author(s): Francesco Genovese, Julia Ramos González
Published in: International Mathematics Research Notices, Issue 2023, 2023, Page(s) 4695-4760, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab367

Deformations of quasi-categories in modules

Author(s): Violeta Borges Marques, Wendy Lowen, Arne Mertens
Published in: Journal of Pure and Applied Algebra, Issue 229, 2025, Page(s) 107866, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2025.107866

A derived Gabriel-Popescu theorem for t-structures via derived injectives

Author(s): Francesco Genovese, Julia Ramos González
Published in: International Mathematics Research Notices, 2022, ISSN 1687-0247
Publisher: Oxford University Press

Frobenius Templicial Modules and the dg-Nerve

Author(s): Wendy Lowen, Arne Mertens
Published in: International Mathematics Research Notices, Issue 2025, 2025, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaf178

Operadic structure on the Gerstenhaber-Schack complex for prestacks

Author(s): Hoang Dinh Van, Lander Hermans, Wendy Lowen
Published in: Selecta Mathematica New Series, 2022, ISSN 1420-9020
Publisher: Springer

Hochschild cohomology parametrizes curved Morita deformations

Author(s): Alessandro Lehmann
Published in: Proceedings of the American Mathematical Society, 2025, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/17133

T-structures and twisted complexes on derived injectives

Author(s): Francesco Genovese, Wendy Lowen, Michel Van den Bergh
Published in: Advances in Mathematics, Issue 387, 2021, Page(s) art nr 107826, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2021.107826

Other (11)

A minimal model for prestacks via Kozul duality for box operads

Author(s): Lander Hermans
Published in: ArXiv, 2023
Publisher: ArXiv.org

Templicial nerve of an A-infinity category,

Author(s): Violeta Borges Marques , Arne Mertens
Published in: 2024
Publisher: ArXiv.org

Nerves of enriched categories via necklaces,

Author(s): Arne Mertens
Published in: ArXiv, 2024
Publisher: ArXiv.org

Hochschild cohomology and extensions of triangulated categories,

Author(s): Alessandro Lehmann, Wendy Lowen,
Published in: 2025
Publisher: ArXiv.org

Appendix A. Deformation theory for a morphism in the derived category with fixed lift of thecodomain.In Moduli spaces of semiorthogonal decompositions in families

Author(s): Pieter Belmans, Wendy Lowen, Shinnosuke Okawa, Andrea T. Ricolfi
Published in: ArXiv, 2020
Publisher: ArXiv.org

Appendix A. Deformation theory for a morphism in the derived category with fixed lift of the codomainIn: Moduli spaces of semiorthogonal decompositions in families

Author(s): Pieter Belmans, Wendy Lowen, Shinnosuke Okawa and Andrea T. Ricolfi
Published in: arXiv, 2020
Publisher: Cornell University

Box operads and higher Gerstenhaber brackets

Author(s): Van, Hoang Dinh; Hermans, Lander; Lowen, Wendy
Published in: ArXiv, 2023
Publisher: ArXiv.org

Deformations of triangulated categories with t-structures via derived injectives

Author(s): F. Genovese, W. Lowen, J. Symons, M. Van den Bergh
Published in: ArXiv, 2024
Publisher: ArXiv.org

Linear quasi-categories as templicial modules

Author(s): Wendy Lowen, Arne Mertens
Published in: arXiv, 2020
Publisher: Cornell University

T-structures on dg-categories and derived deformations

Author(s): Genovese, Francesco; Lowen, Wendy; Bergh, Michel Van den
Published in: ArXiv, 2022
Publisher: Arxiv.org

Filtered derived categories of curved deformations

Author(s): A. Lehmann, W. Lowen
Published in: ArXiv, 2024
Publisher: ArXiv.org