Understanding Goodwillie towers IV | BIMSA Topology Seminar

Time：2023-06-26 Mon 11:00-12:00

Venue：Venue: A3-3-301 ZOOM: 787 662 9899（PW: BIMSA）

Organizer：Jie Wu, Nanjun Yang, Jingyan Li

Speaker：Tyrone Cutler BIMSA

Abstract

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.

DATEJune 26, 2023

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