====== Marcelo Aguiar (Cornell) ====== ====== Möbius Functions for Real Hyperplane Arrangements ====== ===== Abstract for the Combinatorics Seminar 2018 November 13 ===== I discuss the beginnings of a theory of noncommutative Möbius functions and its connections to the structure of the algebra of faces of a hyperplane arrangement. It is to be seen as a generalization of the theory of Möbius functions for lattices, developed by Rota and his school in the 70's. This is joint work with Swapneel Mahajan. ----