Moduli space of curves and Infinite Dimensional Grassmannian

This project was motivated by string theory. We study the relation between
the topology of moduli space of curves and that of the Sato-Grassmannian
via the Krichever map. The Krichever map was discovered for solving certain
integrable systems, KdV, K.P.; Segal and Wilson showed that the Krichever
map is an embedding from the moduli space of curves with some geometric
data into the Sato-Grassmannian. We expressed image of the induced map of
the Krichever map in terms of lambda-classes and psi-classes and related
the equivariant Schubert classes with the cohomology of Weierstrass cycles
on the moduli space of curves.

The talk is based my dissertation work under the supervison of Prof. Albert
Schwarz.