Derived Symplectic Geometry and Applications

Project Information

DerSympApp

Grant agreement ID: 768679

DOI

10.3030/768679

Project closed

EC signature date 25 January 2018

Start date 1 September 2018

End date 29 February 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 385 247,50

EU contribution

€ 1 385 247,00

Coordinated by

UNIVERSITE DE MONTPELLIER
France

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 .

Deliverables

Open Research Data Pilot (1)

Data Management Plan

Publications

Other (15)

Classification of semi-weight representations of reduced stated skein algebras

Author(s): Hiraoki Karuo, Julien Korinman
Published in: 2023
Publisher: preprint

Derived moduli of sections and push-forwards

Author(s): David Kern, Etienne Mann, Cristina Manolache, Renata Picciotto
Published in: 2022
Publisher: preprint

On k-invariants for (\infty,n)-categories

Author(s): Yonatan Harpaz, Joost Nuiten, Matan Prasma
Published in: 2021
Publisher: preprint

A moperadic approach to cyclotomic associators

Author(s): Damien Calaque, Martin Gonzalez
Published in: 2020
Publisher: preprint

Relating quantum character varieties and skein modules

Author(s): Julien Korinman, Jun Murakami
Published in: 2022
Publisher: preprint

Lie algebroids are curved Lie algebras

Author(s): Damien Calaque, Ricardo Campos, Joost Nuiten
Published in: 2021
Publisher: preprint

Wild orbits and generalised singularity modules: stratifications and quantisation

Author(s): Damien Calaque, Giovanni Felder, Gabriele Rembado, Richard Wentworth
Published in: 2024
Publisher: preprint

On the universal property of derived manifolds

Author(s): David Carchedi, Pelle Steffens
Published in: 2019
Publisher: preprint

Shifted cotangent bundles and symplectic groupoids

Author(s): Damien Calaque, Pavel Safronov
Published in: 2024
Publisher: preprint

Monoidal envelopes and Grothendieck construction for dendroidal Segal objects

Author(s): David Kern
Published in: 2023
Publisher: preprint

Representability of elliptic moduli problems in derived C^{\infty}-geometry

Author(s): Pelle Steffens
Published in: 2024
Publisher: preprint

PD operads and explicit partition Lie algebras

Author(s): Lukas Brantner, Ricardo Campos, Joost Nuiten
Published in: 2021
Publisher: preprint

Functorial constructions related to double Poisson vertex algebras

Author(s): Tristan Bozec, Maxime Fairon, Anne Moreau
Published in: 2023
Publisher: preprint

Derived C^{\infty}-geometry I: Foundations

Author(s): Pelle Steffens
Published in: 2023
Publisher: preprint

Azumaya loci of skein algebras

Author(s): Hiraoki Karuo, Julien Korinman
Published in: 2022
Publisher: preprint

Peer reviewed articles (15)

MV polytopes and masures

Author(s): Tristan Bozec, Stéphane Gaussent
Published in: Journal of Lie Theory, Issue 33 (3), 2023, Page(s) 719-746, ISSN 0949-5932
Publisher: Heldermann Verlag

On straightening for Segal spaces

Author(s): Joost Nuiten
Published in: Compositio Mathematica, Issue 160 (3), 2024, Page(s) 586-656, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x23007674

Simplicial Chern-Weil theory for coherent analytic sheaves, part II

Author(s): Timothy Hosgood
Published in: Manuscripta Mathematica, Issue 173, 2024, Page(s) 925-960, ISSN 0025-2611
Publisher: Springer Verlag
DOI: 10.1007/s00229-023-01484-5

Finite symmetries of quantum character stacks

Author(s): Corina Keller, Lukas Müller
Published in: Theory and Applications of Categories, Issue 39 (3), 2023, Page(s) 51-97, ISSN 1201-561X
Publisher: R. Rosebrugh

The AKSZ construction in derived algebraic geometry as an extended topological field theory

Author(s): Damien Calaque, Rune Haugseng, Claudia Scheimbauer
Published in: Memoirs of the American Mathematical Society, 2023, ISSN 0065-9266
Publisher: American Mathematical Society

Two-variable fibrations, factorisation systems and ∞-categories of spans

Author(s): Rune Haugseng, Fabian Hebestreit, Sil Linskens, Joost Nuiten
Published in: Forum of Mathematics, Sigma, Issue 11 (e111), 2023, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2023.107

Shifted symplectic reduction of derived critical loci

Author(s): Mathieu Anel, Damien Calaque
Published in: Advances in Theoretical and Mathematical Physics, Issue 26 (6), 2022, Page(s) 1543-1583, ISSN 1095-0761
Publisher: International Press
DOI: 10.4310/atmp.2022.v26.n6.a1

Ellipsitomic associators

Author(s): Damien Calaque, Martin Gonzalez
Published in: Mémoires de la Société Mathématique de France, Issue 179, 2023, ISSN 0037-9484
Publisher: Societe Mathematique de France
DOI: 10.24033/msmf.487

Relative critical loci and quiver moduli

Author(s): Tristan Bozec, Damien Calaque, Sarah Scherotzke
Published in: Annales Scientifiques de l'Ecole Normale Supérieure, Issue 57 (2), 2024, Page(s) 553-614, ISSN 0037-9484
Publisher: Societe Mathematique de France
DOI: 10.24033/asens.2579

Calabi-Yau structures for multiplicative preprojective algebras

Author(s): Tristan Bozec, Damien Calaque, Sarah Scherotzke
Published in: Journal of Noncommutative Geometry, 2021, ISSN 1661-6952
Publisher: European Mathematical Society Publishing House

Simplicial Chern-Weil theory for coherent analytic sheaves, part I

Author(s): Timothy Hosgood
Published in: Bulletin de la Société Mathématique de France, Issue 151 (1), 2023, Page(s) 127-170, ISSN 0037-9484
Publisher: Societe Mathematique de France
DOI: 10.24033/bsmf.2866

Moduli problems for operadic algebras

Author(s): Damien Calaque, Ricardo Campos, Joost Nuiten
Published in: Journal of the London Mathematical Society, Issue 106 (4), 2022, Page(s) 3450-3544, ISSN 1469-7750
Publisher: London Mathematical Society
DOI: 10.1112/jlms.12666

Calabi-Yau structures on (quasi-)bisymplectic algebras

Author(s): Tristan Bozec, Damien Calaque, Sarah Scherotzke
Published in: Forum of Mathematics, Sigma, Issue 11 (e87), 2023, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2023.88

A derived lagrangian fibration on the derived critical locus

Author(s): Albin Grataloup
Published in: Journal de l'Institut de Mathématiques de Jussieu, 2022, Page(s) 1-35, ISSN 1474-7480
Publisher: Cambridge University Press
DOI: 10.1017/s147474802200041x

Lax monoidal adjunctions, two-variable fibrations and the calculus of mates

Author(s): Rune Haugseng, Fabian Hebestreit, Sil Linskens, Joost Nuiten
Published in: Proceedings of the London Mathematical Society, Issue 127 (4), 2023, Page(s) 889-957, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12548

Book chapters (3)

Associators from an operadic point of view

Author(s): Damien Calaque, Victor Roca i Lucio
Published in: 2024
Publisher: CRM - Centre de Recerca Matemàtica

Operadic deformation theory

Author(s): Ricardo Campos, Albin Grataloup
Published in: HAL OPEN SCIENCE, 2024
Publisher: CRM - Centre de Recerca Matemàtica

Derived symplectic geometry

Author(s): Damien Calaque
Published in: Encyclopedia of Mathematical Physics, 2nd edition, 2024
Publisher: Elsevier

Thesis and dissertations (4)

Derived symplectic reduction and L-equivariant geometry

Author(s): Albin Grataloup
Published in: Université de Montpellier, 2022
Publisher: Université de Montpellier

Chern classes of coherent analytic sheaves: a simplicial approach

Author(s): Timothy Hosgood
Published in: AMU - Aix Marseille Université, 2020
Publisher: Université d'Aix-Marseille

Derived differential geometry

Author(s): Pelle Steffens
Published in: Université de Montpellier, 2022
Publisher: Université de Montpellier

Generalized character varieties and quantization via factorization homology

Author(s): Corina Keller
Published in: Université de Montpellier, 2023
Publisher: Université de Montpellier