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 GrantHost institution
1165 Kobenhavn
Denmark
Beneficiaries (1)
1165 Kobenhavn