Classifying perfect complexes of Z/2-Mackey functors - Clover May (NTNU, Norway) скачать в хорошем качестве

Classifying perfect complexes of Z/2-Mackey functors - Clover May (NTNU, Norway)

This is a recorded version of the following talk from our "New Directions in Group Theory and Triangulated Categories" series. To receive updates about this series, or to suggest speakers (including yourself), please email me at rudradipbiswas@gmail.com. For more information about this series, please visit: https://sites.google.com/view/ndgttc/... ---------------------------------------------------------------------------------------------------- 18th Meeting of "New directions in Group Theory and Triangulated Categories" Date: October 7, 2021; Thursday. Time: 3.30 pm UTC (4.30 pm UK time, 5.30 pm Berlin/Paris, 11.30 am NY time) Speaker: Clover May (Norwegian University of Science and Technology) Title: Classifying perfect complexes of Z/2-Mackey functors. Abstract: Mackey functors play a central role in equivariant homotopy theory, where homotopy groups are replaced by homotopy Mackey functors. In this talk, I will discuss joint work with Dan Dugger and Christy Hazel classifying perfect chain complexes of constant Mackey functors for G=\mathbb{Z}/2. Our decomposition leads to a computation of the Balmer spectrum of the derived category. We extend these results to classify all finite modules over the equivariant Eilenberg--MacLane spectrum H\underline{\mathbb{Z}/2}.