Quasiregular mappings are only differentiable almost everywhere. There is, however, a satisfactory replacement for the derivative at points of nondiffferentiability. These are generalized derivatives and were introduced by Gutlyanskii et al in 2000. In this talk, we discuss some recent results on generalized derivatives, in particular the question of how many generalized derivatives there can be at a particular point, and explain how versions of the Chain Rule and Inverse Function Formula hold in this setting. We also give some applications to Schroeder functional equations. Speaker(s): Alastair Fletcher (Northern Illinois University)
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