Understanding Goodwillie towers II
演讲者
Tyrone Cutler
时间
2023年06月05日 11:00 至 12:00
地点
A3-3-301
线上
Zoom 787 662 9899
(BIMSA)
摘要
In the course of three seminars we will discuss the classic constructions of Goodwillie calculus of functors. We are interested in the applications of this theory in unstable homotopy theory and our end goal is to understand, whenever Goodwillie tower of the loop-suspension functor admits a homotopy decomposition in sense of Selick-Wu. Along the way we will try to reformulate Goodwillie calculus in simplicial language, discuss simplicial functors as models for spectras (the work by Lydakis) and try to relate Goodwillie tower to the lower central series tower for simplicial groups.