Speaker: Ishan Levy (University of Copenhagen)

Title: The spectral Sullivan conjecture

Abstract: The Sullivan conjecture, proven by Miller in 1984, says that the space of pointed maps from BC_p to a finite dimensional CW-complex is contractible. I will explain a generalization of this, where BC_p can be replaced with any connected p-nilpotent infinite loop space. I will also describe some consequences and questions surrounding this result.