In the 20th century, René Thom proved that the (unoriented) bordism ring is given by the coefficients of a spectrum MO. For a given group G, one might ask if the G-bordism ring is given by the coefficents of some G-equivariant spectrum. It turns out that there is an appropriate analogue MO(G) of the Thom spectrum MO, and a natural map from the G-bordism ring to the coefficients of MO(G). Unlike in the non-equivariant case, this map is not an isomorphism. In this talk we will define and investigate the basic properties of equivariant spectra, with the goal of understanding the relationship between the geometric and homotopical G-bordism rings. Speaker(s): Jack Carlisle (University of Michigan)
Building: | East Hall |
---|---|
Event Type: | Workshop / Seminar |
Tags: | Mathematics |
Source: | Happening @ Michigan from Department of Mathematics |