CORDIS Project
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This project explores the connections between the topology of Riemann surfaces, algebraic K-theory, and string topology. It aims to understand the implications of the Madsen-Weiss theorem on Gromov-Witten theory and its applications in algebraic geometry.
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 t…
KOBENHAVNS UNIVERSITET
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