EVENT DETAILS AND ABSTRACT

Title: So many dualities, so little time
Speaker: Vesna Stojanoska
Speaker Info: UIUC
Brief Description:
Special Note:
Abstract:

There are many different ways to import algebraic notions of duality to homotopy theory, and depending on the intended applications, these notions can have quite different flavors. At the same time, spectra such as complex or real K-theory have many versions themselves, but all seem to be self-dual with respect to some kind of duality. In this talk, I will discuss an explicit way to relate Gorenstein duality for connective ring spectra in the sense of Dwyer-Greenlees-Iyengar, and Anderson duality. The relation will be crucial in studying descent properties for either version of duality. This is based on joint work in progress with John Greenlees.