Topology of Moduli Spaces and Strings

Objectif

This project is on the crossroad of three interrelated mathematical subjects, namely (i) The topology of moduli spaces of Riemann surfaces (in a background) (ii) Algebraic K-theory and Topological Cyclic homology with special emphasis to the symplectic algebraic K-theory and its relation to the moduli space of principal polarized abelian varieties (iii) String topology and Homological Conformal Field Theory. It is an important aspect of the project to study the implications of the Madsen-Weiss theorem, about the topological structure of the stable Riemann moduli space, to Gromov-Witten theory in algebraic geometry and to the compactified Jacobian The project will take place at University of Copenhagen in close contact with the newly established research group in Topology

Champ scientifique

Mots‑clés

Régime de financement

ERC-AG - ERC Advanced Grant

Institution d’accueil

KOBENHAVNS UNIVERSITET

Contribution de l’UE

€ 1 650 720,00

Adresse

NORREGADE 10
1165 Kobenhavn
Danemark

Région

Danmark Hovedstaden Byen København

Type d’activité

Higher or Secondary Education Establishments

Contact administratif

Ivan Kristoffersen (Mr.)

Chercheur principal

Ib Henning Madsen (Prof.)

Liens

Contacter l’organisation Site web

Coût total

Aucune donnée

Bénéficiaires (1)