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Homology → Submanifolds: 01

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Learning seminar open to the public. By mid-level graduate students.

What
  • Topology Seminar
When Tue, Aug 30, 2016
from 02:10 PM to 03:00 PM
Where 229 Ritter Hall
Contact Name
Attendees Various talks by mid-level graduate students: Seth Arnold, Jimmy Mixco, Pai Phanachet, Katie Radler.
Mentored closely by advanced graduate students: Chirasree Chatterjee, Sean Corrigan, and Gerrit Smith.
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Presentations for MATH 6980-16, covering Chapter II of Thom's famous 1954 paper on cobordism.  Click "More info" to download.

Question:  When is a homology class represented by a submanifold?

Katie Radler will outline some background definitions:

  1. (stable) homotopy groups
  2. singular homology (with coefficients)
  3. (unoriented smooth) bordism groups
  4. generalized homology theories
  5. Hurewicz map (homotopy and cobordism)
  6. singular cohomology (with coefficients)

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