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Exotic Spheres 06

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Open to the public, a learning seminar with talks from advanced graduate students.

What
  • Topology Seminar
When Thu, Feb 25, 2016
from 11:00 AM to 12:00 PM
Where 202 Ritter Hall
Contact Name
Attendees rotating presentations by: Chirasree Chatterjee, Sean Corrigan, Gerrit Smith.
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The primary source is the seminal 1963 differential-topology article, "Groups of homotopy spheres," by Michel Kervaire and John Milnor.

 

Professor Khan will present a proof of J P Serre's celebrated 1951 theorem, that the stable homotopy groups of spheres are finite.

This is a key background fact used in the seminar's primary source.  Moreover, the title of our primary source is a deliberate pun on that subject, homotopy groups of spheres!

Serre's proof is a novel example of using the algebraic-topology tools of homotopy fibers and of spectral sequences.  (Similarly later, in 1954, R Thom used these tools to calculate the oriented cobordism groups up to dimension 7.)

(For continuity, here's a link to the previous talk.)

 

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