 Ravenel's conjectures

Ravenel's conjectures are a series of conjectures in the field of algebraic topology, specifically concerning stable homotopy theory. Proposed by Douglas Ravenel in the 1980s, these conjectures are primarily about the relationships between stable homotopy groups of spheres and the structure of the stable homotopy category, particularly in relation to the stable homotopy type of certain spaces.