In mathematics, the Ravenel conjectures are a set of mathematical conjectures in the field of stable homotopy theory posed by Douglas Ravenel at the end of a paper published in 1984.
[2] The problems involved have largely been resolved, with all but the "telescope conjecture" being proved in later papers by others.
[3][4][2] Ravenel's conjectures exerted influence on the field through the founding of the approach of chromatic homotopy theory.
The telescope conjecture, which was fourth on the original list, remains of substantial interest because of its connection with the convergence of an Adams–Novikov spectral sequence.
[5][6] On June 6, 2023, Robert Burklund, Jeremy Hahn, Ishan Levy, and Tomer Schlank announced a disproof of the telescope conjecture.