Understanding Goodwillie towers I
演讲者
Fedor Pavutnitskiy
时间
2023年05月22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.
演讲者介绍
Fedor Pavutnitskiy主要研究单纯同伦论及其在path homology中的应用，以及与群和李代数相关的同调代数，同时对机器学习在现代数学中的应用感兴趣。