Title: Sign conventions and the truncated sphere spectrum
Speaker: Nick Gurski (Case Western University)
Abstract: There are two symmetries for the tensor product of graded abelian groups: you can introduce minus signs (how many depends on the degrees of the elements) or not when you swap the order of two elements. An observation of Kapranov's is that you can extract a model for the 1-truncated sphere spectrum from the category of graded abelian groups by restricting to the invertible objects and using the former sign convention. This talk will be about employing the same philosophy for building the 2-truncated sphere spectrum, but now using invertible graded Picard categories. This is joint work with Niles Johnson and Angélica Osorno.
Seminar URL: https://www.asc.ohio-state.edu/fontes.17/homotopy_seminar/
