Quadratic refinements in algebraic geometry

Project Information

QUADAG

Grant agreement ID: 832833

DOI

10.3030/832833

Project closed

EC signature date 13 May 2019

Start date 1 September 2019

End date 28 February 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 2 124 663,00

EU contribution

€ 2 124 663,00

Coordinated by

UNIVERSITAET DUISBURG-ESSEN
Germany

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

Other (36)

Virtual Localization in equivariant Witt cohomology

Author(s): Marc Levine
Published in: arXiv, 2022
Publisher: arXiv

Atiyah-Segal completion for the Hermitian K-theory of Symplectic Groups

Author(s): Jens Hornbostel, Herman Rohrbach, Marcus Zibrowius
Published in: arXiv, 2023
Publisher: arXiv

Virtual Localisation Formula for SLη-Oriented Theories

Author(s): Alessandro D'Angelo
Published in: arXiv, 2024
Publisher: arXiv

The chow weight structure for geometric motives of quotient stacks

Author(s): Aranaha, Dhyan; Chowdhury, Chirantan
Published in: arxiv, 2023
Publisher: arxiv

Hermitian K-theory of Grassmannians

Author(s): Herman Rohrbach
Published in: arXiv, 2023
Publisher: arXiv

Motivic Homotopy Theory of Algebraic Stacks

Author(s): Chirantan Chowdhury
Published in: arxiv, 2021
Publisher: arxiv

Localization theorems for algebraic stacks

Author(s): Dhyan Aranha, A. Khan, A. Latyntsev, H. Park, C. Ravi
Published in: arxiv, 2022
Publisher: arxiv

Combing a hedgehog over a field

Author(s): Ananyevskiy, Alexey; Levine, Marc
Published in: arxiv, 2023
Publisher: arxiv

Hermitian K-theory of Grassmannians

Author(s): Rohrbach, Herman
Published in: arxiv, 2023
Publisher: arxiv

Non-representable six-functor formalisms

Author(s): Chirantan Chowdhury, Alessandro D'Angelo
Published in: arXiv, 2024
Publisher: arXiv

Motivic characteristic classes for singular schemes

Author(s): Azouri, Ran
Published in: arxiv, 2022
Publisher: arxiv

A relative orientation for the moduli space of stable maps to a del Pezzo surface

Author(s): Jesse Leo Kass, Marc Levine, Jake P. Solomon, Kirsten Wickelgren
Published in: arXiv, 2023
Publisher: arXiv

Bézoutians and the 1-degree

Author(s): Thomas Brazelton, Stephen McKean, Sabrina Pauli
Published in: arXiv, 2021
Publisher: arXiv

Orienting the Hilbert scheme of points on a spin threefold

Author(s): Marc Levine
Published in: arXiv, 2023
Publisher: arXiv

Arithmetic Counts of Tropical Plane Curves and Their Properties

Author(s): Puentes, Andrés Jaramillo; Markwig, Hannah; Pauli, Sabrina; Röhrle, Felix
Published in: arxiv, 2023
Publisher: arxiv

Quadratically Enriched Tropical Intersections

Author(s): Andrés Jaramillo Puentes, Sabrina Pauli
Published in: arxiv, 2022
Publisher: arxiv

The Intrinsic Normal Cone For Artin Stacks

Author(s): Dhyan Aranha, Piotr Pstrągowski
Published in: arXiv, 2019
Publisher: arXiv

A Gersten complex on real schemes

Author(s): Jin, Fangzhou; Xie, Heng
Published in: arXiv, 2020
Publisher: arXiv

Compactly supported 1-Euler characteristics of symmetric powers of cellular varieties

Author(s): Jesse Pajwani, Herman Rohrbach, Anna M. Viergever
Published in: arXiv, 2024
Publisher: arXiv

On Atiyah-Segal completion for T-equivariant Hermitian K-theory

Author(s): Herman Rohrbach
Published in: arXiv, 2022
Publisher: arXiv

A relative orientation for the moduli space of stable maps to a del Pezzo surface

Author(s): Kass, Jesse Leo; Levine, Marc; Solomon, Jake P.; Wickelgren, Kirsten
Published in: arxiv, 2023
Publisher: arxiv

Quadratic Counts of Twisted Cubics

Author(s): Marc Levine, Sabrina Pauli
Published in: arxiv, 2022
Publisher: arxiv

Orienting the Hilbert scheme of points on a spin threefold

Author(s): Levine, Marc
Published in: arxiv, 2023
Publisher: arxiv

A quadratically enriched count of rational curves

Author(s): Kass, Jesse Leo; Levine, Marc; Solomon, Jake P.; Wickelgren, Kirsten
Published in: arxiv, 2023
Publisher: arxiv

Motivic Euler Characteristic of Nearby Cycles and a Generalized Quadratic Conductor Formula

Author(s): Ran Azouri
Published in: arXiv, 2021
Publisher: arXiv

A Quadratically Enriched Correspondence Theorem

Author(s): Puentes, Andrés Jaramillo; Pauli, Sabrina
Published in: arxix, 2022
Publisher: arxiv

Atiyah-Bott localization in equivariant Witt cohomology

Author(s): Marc Levine
Published in: arxiv, 2022
Publisher: arxiv

Arithmetic Counts of Tropical Plane Curves and Their Properties

Author(s): Andrés Jaramillo Puentes, Hannah Markwig, Sabrina Pauli, Felix Röhrle
Published in: arXiv, 2023
Publisher: arXiv

Local terms of the motivic Verdier pairing

Author(s): Jin, Fangzhou
Published in: arxiv, 2020
Publisher: arxiv

The stacky concentration theorem

Author(s): Dhyan Aranha, Adeel A. Khan, Alexei Latyntsev, Hyeonjun Park, Charanya Ravi
Published in: arXiv, 2024
Publisher: arXiv

KW-Euler Classes via Twisted Symplectic Bundles

Author(s): Alessandro D'Angelo
Published in: arXiv, 2024
Publisher: arXiv

Quadratic Donaldson-Thomas invariants for (ℙ1)3 and some other smooth proper toric threefolds

Author(s): Marc Levine, Anna M. Viergever
Published in: arXiv, 2025
Publisher: arXiv

A Wall Crossing Formula for Motivic Enumerative Invariants

Author(s): Jaramillo Puentes, Andrés
Published in: arxiv, 2024
Publisher: arxiv

Combing a hedgehog over a field

Author(s): Alexey Ananyevskiy, Marc Levine
Published in: arXiv, 2023
Publisher: arXiv

Atiyah-Segal completion for the Hermitian K-theory of Symplectic Groups

Author(s): Hornbostel, Jens; Rohrbach, Herman; Zibrowius, Marcus
Published in: arxiv, 2023
Publisher: arxiv

Six-Functor Formalisms I : Constructing functors using category of simplices

Author(s): Chowdhury, Chirantan
Published in: arxiv, 2023
Publisher: arxiv

Peer reviewed articles (13)

The Intrinsic Normal Cone for Artin Stacks

Author(s): Dhyan Aranha, Piotr Pstrągowski
Published in: Annales de l'Institut Fourier, Issue 74, 2024, Page(s) 71-120, ISSN 1777-5310
Publisher: Annales de l'Institut Fourier
DOI: 10.5802/aif.3583

Trace maps in motivic homotopy and local terms

Author(s): Jin, Fangzhou
Published in: Trans. Amer. Math. Soc. Ser. B, Issue 11 (2024), 2024, Page(s) 215–247, ISSN 2330-0000
Publisher: Amer. Math. Soc.
DOI: 10.1090/btran/169

Euler characteristics of homogeneous and weighted-homogeneous hypersurfaces

Author(s): Marc Levine, Simon Pepin Lehalleur, Vasudevan Srinivas
Published in: Adv. Math., Issue 441 (2024), 2024, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2024.109556

Algebraic elliptic cohomology and flops II: SL-cobordism

Author(s): Marc Levine; Yaping Yang; Gufang Zhao
Published in: Adv. Math, Issue 384, 2021, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2021.107726

The intrinsic stable normal cone

Author(s): Marc Levine
Published in: Algebraic Geometry, Issue 8 (5) (2021), 2021, Page(s) 518–561, ISSN 2313-1691
Publisher: Foundation Compositio Mathematics
DOI: 10.14231/ag-2021-016

Algebraic cobordism and étale cohomology

Author(s): Elmanto, Elden; Levine, Marc; Spitzweck, Markus; Østvær, Paul Arne
Published in: Geom. Topol., Issue 26(2)(2022), no. 2, 2022, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2022.26.477

Virtual localization in equivariant Witt cohomology

Author(s): Marc Levine
Published in: Indagationes Mathematicae, 2024, ISSN 0019-3577
Publisher: Elsevier BV
DOI: 10.1016/j.indag.2024.11.005

On the rational motivic homotopy category

Author(s): Frédéric Déglise, Jean Fasel, Fangzhou Jin, Adeel A. Khan
Published in: Journal de l’École polytechnique — Mathématiques, Issue 8, 2021, Page(s) 533-583, ISSN 2429-7100
Publisher: École polytechnique
DOI: 10.5802/jep.153

Motivic homotopy theory of algebraic stacks

Author(s): Chirantan Chowdhury
Published in: Annals of K-Theory, Issue 9, 2024, Page(s) 1-22, ISSN 2379-1691
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/akt.2024.9.1

Algebraic cobordism and étale cohomology

Author(s): Elden Elmanto, Marc Levine, Markus Spitzweck, Paul Arne Østvær
Published in: Geometry & Topology, Issue 26, 2023, Page(s) 477-586, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2022.26.477

Aspects of Enumerative Geometry with Quadratic Forms

Author(s): Marc Levine
Published in: Documenta Mathematica, Issue 25, 2020, Page(s) 2179-2239, ISSN 1431-0635
Publisher: Deutsche Mathematiker-Vereinigung
DOI: 10.25537/dm.2020v25.2179-2239

Motivic Euler characteristic of nearby cycles and a generalised quadratic conductor formula

Author(s): Ran Azouri
Published in: Journal of Algebra, Issue 667, 2025, Page(s) 109-164, ISSN 0021-8693
Publisher: Academic Press
DOI: 10.1016/j.jalgebra.2024.12.010

On some finiteness results in real étale cohomology

Author(s): Jin, Fangzhou
Published in: Bull. London Math. Soc., 2022, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.12563