NMST
New methods and interacions in Singularity Theory and beyond
| Coordinatore | BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS ASOCIACION
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | Spain [ES] |
| Totale costo | 1˙140˙601 € |
| EC contributo | 1˙140˙601 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2013-CoG |
| Funding Scheme | ERC-CG |
| Anno di inizio | 2014 |
| Periodo (anno-mese-giorno) | 2014-05-01 - 2019-04-30 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
Organization address
address: CALLE SERRANO 117 contact info |
ES (MADRID) | beneficiary | 83˙670.00 |
| 2 |
BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS ASOCIACION
Organization address
address: AL MAZARREDO 14 contact info |
ES (BILBAO) | hostInstitution | 1˙056˙931.00 |
| 3 |
BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS ASOCIACION
Organization address
address: AL MAZARREDO 14 contact info |
ES (BILBAO) | hostInstitution | 1˙056˙931.00 |
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Obiettivo del progetto (Objective)
'This project is centred in Singularity Theory and its interactions and applications to Complex and Algebraic Geometry, Differential/symplectic/Contact Topology, Hodge Theory and Algebraic Topology. This subject is still at the core of various developments (Mori's Theory, Symplectic and Contact Geometry, algebro-geometric Donaldson-Thomas Theory, Hodge Theory and D-modules,...) In the present project we propose several directions of development in singularity theory, designed in order to approach the solution of several classical conjectures, and explore new interactions with the latest developments in nearby areas. New problems and conjectures are formulated, which are interesting bottlenecks whose solution would open new development perspectives in the theory, and whose study will need significantly new ideas. We have taken care of finding feasible starting points and interesting classes of singularities where the initial development is less steep. And to find links among the seemingly difernt techniques and problems which we propose. We deal with the following specific topics: vanishing cohomology of isolated and non-isolated singularities. Rational homotopy generalisations of Hodge Theory and rational vanishing homotopy. Applications to Equisingularity questions. Disentanglement theory and its relation with vanishing homology and homotopy. Symplectic and contact geometry of milnor fibrations. A vast programme in topological equisingularity including a multifaceted attack to Lê-Ramanujan problem. Generalisations of McKay correspondence. Banagl Intersection spaces. Topological and analytic invariants of normal surface singularities. Arc spaces and Nash correspondence. Compactified Jacobians.'