Algebra Seminar

Speaker: Sunil Chebolu (Illinois State University)

"A strong generating hypothesis for the stable module category"

Time: 14:00

Room: MC 107

A $kG$-linear map between $kG$-modules is called a strong ghost map if it induces the zero map in Tate cohomology when restricted to each subgroup of $G$. We formulate the strong generating hypothesis as the statement that every strong ghost between finitely generated $kG$-modules factors through a projective module, i.e., it is trivial in the stable module category. In recent joint work with Jon Carlson and Jan Minac, we have identified the class of groups for which this strong generating hypothesis holds. I will present an overview of this work by focusing on some concrete examples.