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Tuesday, February 1, 2005

**Abstract:** It is a long-standing conjecture that certain spaces of quantum field theory functors form spectra which yield interesting cohomology theories. In particular, spaces of 2-dimensional conformal field theories are supposed to give a geometric model for TMF. S. Stolz and P. Teichner have developed a construction of field theory functors in two cases, 1-dimensional euclidean (EFT), and 2-dimensional conformal (CFT), where the euclidean version is proven to give a spectrum for K-theory. The above conjecture on the 2-dimensional case serves as motivation to study the 1-dimensional one in more detail. In this talk we introduce the main parts of the construction of the EFT functors and give a new connective version of 1-dimensional euclidean theories which yields connective ko-theory.