3 problems

Dwyer–Mahowald–Kuhn conjecture. The displayed isomorphism on homotopy groups is induced by an equivalence of spectra

Let $p>2$ be a prime, and let $BP^{\wedge(p-1)}$ denote the $(p-1)$-fold smash product of the Brown–Peterson spectrum. A $\mathbb{Z}/p$-equivariant structure on this spectrum is an…

Let $G$ be an algebraic group. Write $\Omega^*(G)$ for the $BP$-version of algebraic cobordism, and let … be the realization map. Realization conjecture. The map $t_{\mathbb C}$ is…