An Overview of Localization in Stable Homotopy Theory

Seminar: 
Graduate Student Seminar
Event time: 
Friday, November 11, 2011 - 8:00am to 9:00am
Location: 
431DL
Speaker: 
David White
Speaker affiliation: 
Wesleyan University
Event description: 

I will discuss the concept of localization broadly, giving numerous examples from algebra and topology. Next, I’ll review the basics of category theory and motivate the concept of model categories. I will then discuss ways to generalize localization to a categorical setting, culminating with the definition of Bousfield localization and a mention of Bousfield’s Theorem. If there is time at the end I’ll discuss the problem I’m currently working on:
figuring out what properties are preserved by Bousfield localization.