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# Topology Seminar

**
Mon., Nov. 21, 2022 1:00 p.m.
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**
Location: CL 312
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**Speaker: **Martin Frankland

**Title: **The first few stable homotopy groups of spheres

**Abstract: **

We will present the "method of killing homotopy groups" due to Cartan and Serre in the 1950s, a method to compute some homotopy groups of spheres. The method relies on the Hurewicz theorem and the Serre spectral sequence of the fibration that kills the bottom homotopy group of a space.