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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

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.)