Title: Hopkins-Kuhn-Ravenel Theorem (HKR), a link between representation theory and homotopy theory.
Abstract: Let G denote an arbitrary group and L be the smallest characteristic 0 field containing all roots of unity. The space Cl(G;L) of class functions is of fundamental importance and contains very useful representation theoretic information for G. Hopkins-Kuhn-Ravenel realised that the whole setup can be translated for certain extraordinary cohomology theories in terms of homotopy theory. In particular, in this talk we shall be focused to a certain rather well-known theory, Morava E-theory. The main idea behind this construction, as well as basic definitions will be given too. Finally the HKR theorem will be stated in terms of the aforementioned cohomology theory.