Prisms from the equivariant perspective

Yuri Sulyma, Brown University

Bhatt-Scholze's recent prismatic and q-crystalline cohomology theories depend on the notion of a prism. I will explain how prisms are natural from the point of view of equivariant homotopy theory, by constructing a Tambara functor out of a prism. This elucidates several aspects of the theory, and points the way to possible generalizations.

Conference on Homotopy Theory with Applications to Arithmetic and Geometry
June 27 - 30, 2022