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Tuesday, March 3, 2015

**Abstract:** We will start by explaining the concept of differential cohomology and its classical application to conformal embeddings and Chern-Simons invariants. Then we generalize this to arbitrary cohomology theories and explain how to obtain a useful integration theory and applications. We also want to explain twisted aspects and a factorization of the Becker-Gottlieb transfer. Finally, if time permits we explain differential algebraic K-theory for a field of intergers in a number ring and the transfer index conjecture.