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14th ZJU-Westlake Derived Algebraic Geometry Learning seminar II丨An introduction to the stable homotopy category

2023-06-09 11:11:09
报告人 时间 15:00-17:00
地点 E4-201 2023
月日 06-12

Time: 15:00-17:00, Monday, June 12, 2023

Venue: E4-201, Yungu Campus


Speaker: Dr. Xing Gu, Westlake University

Title: An introduction to the stable homotopy category

Abstract: We start with stable phenomena in classal homotopy theory, which leads to the definition of spectra and morphisms of spectra. We discuss several examples of spectra and how they represent (generalized) cohomology theories. Finally we define a model structure on the category of spectra, and show that the associated homotopy category, i.e., the stable homotopy category, is a triangulated category.