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ROGW

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Real and open Gromov Witten theory

This proposal focuses on establishing new relations between natural objects in symplectic geometry with other fields of mathematics including knot and representation theory and the theory of integrable systems. All of these rela... ver más

31/10/2026

SORBONNE UNIVERSIT...

1M€

Presupuesto del proyecto: 1M€

Líder del proyecto

SORBONNE UNIVERSITE No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Ver 2 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2019-12-17

Línea de financiación objetivo El proyecto se financió a través de la siguiente ayuda:

ERC-2019-COG: ERC Consolidator Grant

I+D

Cerrada hace 5 años

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2 Participantes

SORBONNE UNIVERSITE

1.35M€ | Lider

EMBUTIDOS GOIKOA

373.05K€ | Participante

Últimas noticias

29-11-2024: IDAE En las últimas 48 horas el Organismo IDAE ha otorgado 4 concesiones

29-11-2024: ECE En las últimas 48 horas el Organismo ECE ha otorgado 2 concesiones

29-11-2024: CMVAMADRID En las últimas 48 horas el Organismo CMVAMADRID ha otorgado 37 concesiones

Duración del proyecto: 82 meses Fecha Inicio: 2019-12-17
Fecha Fin: 2026-10-31

Líder del proyecto

SORBONNE UNIVERSITE

TRL 4-5

Presupuesto del proyecto 1M€

Descripción del proyecto This proposal focuses on establishing new relations between natural objects in symplectic geometry with other fields of mathematics including knot and representation theory and the theory of integrable systems. All of these relations are motivated by theoretical physics. The main objects of study are moduli spaces of pseudo-holomorphic maps giving rise to real and open Gromov-Witten invariants. The classical Gromov-Witten invariants were introduced by Gromov at the birth of symplectic topology giving rise to obstructions to symplectic embeddings. Their interpretation by Witten as the coefficients of a partition function of a field theory placed them in a new light : striking dualities understood in physics relate them to mathematical objects of completely different nature and on completely different manifolds. This has and continues to generate enormous amount of high-level research aimed at understanding these relations better. The proposed research concerns establishing such relations in the context of the recently introduced, by the PI and A. Zinger, real Gromov-Witten theory. In particular, it aims to determine the systems of differential equations governing the real Gromov-Witten theory, that parallel the KdV and Toda hierarchies in the classical case. We will further study the real Gromov-Witten theory of toric Calabi-Yau threefolds with the aim of establishing a connection with SO/Sp Chern-Simons theory and a real version of the remodeled mirror symmetry. Finally, we will seek to establish foundational results of open Gromov-Witten theory in a general context.

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