GWT SIGNED
Gromov-Witten Theory: Mirror Symmetry, Birational Geometry, and the Classification of Fano Manifolds
Total Cost €
0EC-Contrib. €
0Partnership
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Project "GWT" data sheet
The following table provides information about the project.
| Coordinator |
IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
Organization address contact info |
| Coordinator Country | United Kingdom [UK] |
| Project website | http://coates.ma.ic.ac.uk |
| Total cost | 1˙999˙995 € |
| EC max contribution | 1˙999˙995 € (100%) |
| Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
| Code Call | ERC-2015-CoG |
| Funding Scheme | ERC-COG |
| Starting year | 2016 |
| Duration (year-month-day) | from 2016-10-01 to 2021-09-30 |
Partnership
Take a look of project's partnership.
| # | ||||
|---|---|---|---|---|
| 1 | IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE | UK (LONDON) | coordinator | 1˙999˙995.00 |
Map
Project objective
The classification of Fano manifolds is a long-standing and important open problem. Fano manifolds are basic building blocks in geometry: they are `atomic pieces' of mathematical shapes. We will take a radically new approach to Fano classification, combining Mirror Symmetry (a circle of ideas which originated in string theory) with new methods in geometry and massively-parallel computational algebra.
Our main geometric tool will be Gromov-Witten invariants. The Gromov-Witten invariants of a space X record the number of curves in X of a given genus and degree which meet a given collection of cycles in X; they have important applications in algebraic geometry, symplectic topology, and theoretical physics. We will develop powerful new methods for computing Gromov-Witten invariants, and will apply these methods to Fano classification and to questions in birational geometry.
Publications
| year | authors and title | journal | last update |
|---|---|---|---|
| 2017 |
Brini, Andrea $E_8$ spectral curves published pages: , ISSN: , DOI: |
https://hal.archives-ouvertes.fr/hal-01639748 1 | 2019-09-09 |
| 2018 |
Argüz, Hülya; Prince, Thomas On Real Lagrangians in Quintic Threefolds published pages: , ISSN: , DOI: |
1 | 2019-09-09 |
| 2017 |
Cavey, Daniel; Prince, Thomas Del Pezzo surfaces with a single 1/k(1,1) singularity published pages: , ISSN: , DOI: |
3 | 2019-09-09 |
| 2018 |
Prince, Thomas Lagrangian torus fibration models of Fano threefolds published pages: , ISSN: , DOI: |
1 | 2019-09-09 |
| 2018 |
Petracci, Andrea Some examples of non-smoothable Gorenstein Fano toric threefolds published pages: , ISSN: , DOI: |
1 | 2019-09-09 |
| 2018 |
Coates, Tom; Manolache, Cristina A splitting of the virtual class for genus one stable maps published pages: , ISSN: , DOI: |
1 | 2019-09-09 |
| 2019 |
Brini, Andrea Exterior powers of the adjoint representation and the Weyl ring of $E_8$ published pages: , ISSN: , DOI: |
1 | 2019-09-09 |
| 2018 |
Petracci, Andrea Homogeneous deformations of toric pairs published pages: , ISSN: , DOI: |
2 | 2019-09-09 |
| 2019 |
T Coates, A Kasprzyk, T Prince Laurent Inversion published pages: , ISSN: 1558-8599, DOI: |
Journal of Pure and Applied Mathematics Quarterly | 2019-08-30 |
| 2019 |
E Kalashnikov, with an Appendix by T Coates, A Kasprzyk, and E Kalashnikov Four dimensional Fano quiver flag zero loci published pages: , ISSN: 1364-5021, DOI: |
Proceedings of the Royal Society A | 2019-08-30 |
| 2019 |
T Coates, H Iritani Gromov-Witten Invariants of Local P^2 and Modular Forms published pages: , ISSN: 2156-2261, DOI: |
Kyoto Journal of Mathematics | 2019-08-30 |
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