**Stephan Stolz**

In this talk on joint work with Peter Teichner, I will outline the proof of our result that the space of 1-dimensional super symmetric quantum field theories of degree n is homotopy equivalent to the n-th space of the K-theory spectrum. We conjecture that an analogous statement holds with 1-QFT's replaced by 2-dimensional conformal field theories and the K-theory spectrum by the topological modular form spectrum.

Matthew 2003-04-22