Homotopy Theory Seminar

Friday, February 18, 2022 - 2:00pm to 3:00pm

David Chan

Vanderbilt University

In equivariant algebra and topology, there is more than one thing someone might mean by a ring; there is an entire poset of equivariant ring structures collectively called the incomplete Tambara functors. In recent work, Blumberg and Hill have defined the notion of incomplete Mackey functors, which analogously encode the various possible additive equivariant structures. In this talk we will explain the ways in which the incomplete multiplicative and additive structures interact and discuss a new characterization, via transfer systems, of when these two structures are suitably compatible.