Personal tools

Exotic Spheres 05

— filed under:

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

  • Topology Seminar
When Thu, Feb 18, 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.
Add event to calendar vCal

The primary source is the seminal 1963 differential-topology article, "Groups of homotopy spheres," by Michel Kervaire and John Milnor.

Sean will present Section 4.  The goal is to prove Theorem 4.1:  For any fixed n > 4, there are only finitely many equivalence classes of homotopy n-spheres, where the equivalence relation is diffeomorphism up to connected sum with those special ones that bound a parallelizable (n+1)-manifold.

The seminar's goal is to show a version of Theorem 1.2:  For any fixed n>4, there are only finitely many diffeomorphism classes of homotopy n-spheres.  (That is, by the generalized PoincarĂ© theorem, there are only finitely many smooth structures on the standard n-sphere.)  Thus Theorem 4.1 reduces us to show that there are only finitely many possibilities for the 'special ones.'

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


« March 2018 »
Upcoming Events
Math/CS Club
Wed, Mar 21, 2018
100 prisoners Bryan Clair, SLU
Fri, Mar 23, 2018
Introduction to Cluster Algebras Kyungyong Lee, University of Nebraska, Lincoln
Wed, Apr 18, 2018
Quantitative Topology? by Shmuel Weinberger, U Chicago
Annual Awards Ceremony
Fri, Apr 27, 2018
The 2018 Math & Statistics Department Award Ceremony Featuring Sarah Greenwald, Appalachian State University
Previous events…
Upcoming events…