3 problems

Equivariant stability-space homeomorphism conjecture. There should exist a homeomorphism

Tau-rigidity conjecture. If $M$ is an indecomposable syzygy, then $M\oplusc3M$ is $c4$-rigid.

Tau-rigidity conjecture. Every indecomposable Cohen–Macaulay module over $A$ and $AG$ is $c4$-rigid.