Topology of Moduli Spaces and Strings

Objective

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

Fields of science

Keywords

Funding Scheme

ERC-AG - ERC Advanced Grant

Host institution

KOBENHAVNS UNIVERSITET

EU contribution

€ 1 650 720,00

Address

NORREGADE 10
1165 Kobenhavn
Denmark

Region

Danmark Hovedstaden Byen København

Activity type

Higher or Secondary Education Establishments

Administrative Contact

Ivan Kristoffersen (Mr.)

Principal investigator

Ib Henning Madsen (Prof.)

Links

Contact the organisation Website

Total cost

No data

Beneficiaries (1)