EVENT DETAILS AND ABSTRACT

Title: A G-Symmetric Monoidal Structure on the Category of G-Mackey Functors
Speaker: Kristen Mazur
Speaker Info: University of Virginia
Brief Description:
Special Note:
Abstract:

I will describe a new G-symmetric monoidal structure on the category of G-Mackey functors. The current G-symmetric monoidal structure in incredibly complicated and is almost impossible to compute. Thus, Ibuild a new structure that has the following advantages. First, it is both easy to define and easy to compute. Second, under this new structure we can show that Tambara functors are the G-commutative algebras. Finally, it is known that Tambara functors exist as the zeroeth stable homotopy groups of commutative G-ring spectra but there are very few examples of them available. Therefore, the new G-symmetric monoidal structure will provide a means of creating examples of Tambara functors.