DerSympApp SIGNED
Derived Symplectic Geometry and Applications
Total Cost €
0EC-Contrib. €
0Partnership
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0DerSympApp project word cloud
Explore the words cloud of the DerSympApp project. It provides you a very rough idea of what is the project "DerSympApp" about.
Project "DerSympApp" data sheet
The following table provides information about the project.
| Coordinator |
UNIVERSITE DE MONTPELLIER
Organization address contact info |
| Coordinator Country | France [FR] |
| Total cost | 1˙385˙247 € |
| EC max contribution | 1˙385˙247 € (100%) |
| Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
| Code Call | ERC-2017-COG |
| Funding Scheme | ERC-COG |
| Starting year | 2018 |
| Duration (year-month-day) | from 2018-09-01 to 2023-08-31 |
Partnership
Take a look of project's partnership.
| # | ||||
|---|---|---|---|---|
| 1 | UNIVERSITE DE MONTPELLIER | FR (MONTPELLIER) | coordinator | 1˙385˙247.00 |
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Project objective
We propose a program that aims at providing new developments and new applications of shifted symplectic and Poisson structures. It is formulated in the language and framework of derived algebraic geometry after Toën–Vezzosi and Lurie.
On the foundational side, we will introduce the new notion of shifted symplectic groupoids and prove that they provide an alternative approach to shifted Poisson structures (as they were defined by the PI together with Tony Pantev, Bertrand Toën, Michel Vaquié and Gabriele Vezzosi). Along the way, we shall be able to prove several conjectures that have recently been formulated by the PI and other people.
Applications are related to mathematical physics. For instance: - We will provide an interpretation of the Batalin–Vilkovisky formalism in terms of derived symplectic reduction. - We will show that the semi-classical topological field theories with values in derived Lagrangian correspondences that were previously introduced by the PI are actually fully extended topological field theories in the sense of Baez–Dolan and Lurie. - We will explain how one may use this formalism to rigorously construct a 2D topological field theory that has been discovered by Moore and Tachikawa.
Quantization problems will also be discussed at the end of the proposal.
This project proposal lies at the crossroads of algebraic geometry, mathematical physics (in its algebraic and geometric aspects) and higher algebra.
Deliverables
| Data Management Plan | Open Research Data Pilot | 2019-05-24 12:19:12 |
Take a look to the deliverables list in detail: detailed list of DerSympApp deliverables.
Publications
| year | authors and title | journal | last update |
|---|---|---|---|
| 2019 |
David Carchedi, Pelle Steffens On the universal property of derived manifolds published pages: , ISSN: , DOI: |
2020-04-24 | |
| 2020 |
Damien Calaque, Ricardo Campos, Joost Nuiten Moduli problems for operadic algebras published pages: , ISSN: , DOI: |
2020-04-24 |
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