Tuesday, January 19, 14:00, 7.527
Sebastian Nitsche, The stable module category inside the homotopy category
We consider a functor from the stable module category to the homotopy category
constructed by Kato.
This functor induces a correspondence between distinguished triangles in the
category and perfect exact sequences in the module category.
In this talk, we discuss stable equivalences that preserve perfect exact
sequences and apply this
to the stable category of Gorenstein-projective modules.
Moreover, this provides conditions under which a stable equivalence induced by
an exact functor
is a stable equivalence of Morita type.
We also give a description of a triangulated hull of the stable module category
inside the homotopy category.