Speaker: Bridget Schreiner
University of Notre Dame
Will give a PhD Defense entitled:
Cross Effects and Stability
Abstract: Defense Committee: Mark Behrens, Advisor Pavel Mnev Andy Putman Larry Taylor We consider a generalization of the cross effects of Eilenberg and Mac Lane to cat- egories suitable for studying homological and representation stability. Specifically, we consider functors C −→ T op∗ where C is N or F I, the category of finite sets and injec- tions. We construct a spectral sequence computing the homology of our cross effects from the homology of such functors, as well as a spectral sequence reconstructing the homology of the values of the functor from the homology of its cross effects. Finally, we consider these cross effects in the context of the mod 2 homology of the symmetric groups.
Date: 06-27-2024
Time: 4:00 pm
Location: Zoom
Zoom URL: notredame.zoom.us/j/