GTA Seminar | Speaker: Said Hamoun (My Ismail University of Meknès)

Title: On the higher rational topological complexity of certain elliptic spaces 

Abstract:  In this seminar, we give an upper bound of the rth higher topological complexity, TC_r, of a simply-connected elliptic space Z admitting a pure minimal Sullivan model with a differential of constant length in terms of the integer r, the Lusternik-Schnirelmannn category of Z and its homotopy characteristic. We also give a lower bound for TC_r in the framework of coformal spaces and we compute the exact value of TC_r for certain families of spaces.