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

Field of science

• /natural sciences/mathematics/pure mathematics/topology
• /natural sciences/mathematics/pure mathematics/geometry
• /natural sciences/mathematics/pure mathematics/algebra/algebraic geometry

Programme(s)

• 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)

Topic(s)

• ERC-AG-PE1 - ERC Advanced Grant - Mathematical foundations

Call for proposal

ERC-2008-AdG
See other projects for this call

Funding Scheme

ERC-AG - ERC Advanced Grant

Host institution

KOBENHAVNS UNIVERSITET

Address

Norregade 10
1165 Kobenhavn
Denmark

Activity type

Higher or Secondary Education Establishments

EU contribution

€ 1 650 720

Principal investigator

Ib Henning Madsen (Prof.)

Administrative Contact

Ivan Kristoffersen (Mr.)

Beneficiaries (1)

KOBENHAVNS UNIVERSITET

Denmark

EU contribution

€ 1 650 720

Address

Norregade 10
1165 Kobenhavn

Activity type

Higher or Secondary Education Establishments

Principal investigator

Ib Henning Madsen (Prof.)

Administrative Contact

Ivan Kristoffersen (Mr.)