Time and place: Mondays and Wednesdays (possibly Fridays)
3:00-4:00pm, Room 2-142
Professor: Jacob Lurie
Office: 2-271
Office hours: TBA (or by appointment).
Prerequisites:
A course in algebraic topology at the graduate level (18.906 or
equivalent).
Course Description:
A reading course in algebraic topology. Students each select three papers
(either drawn from a list of classical literature in algebraic topology,
or chosen based on personal interest) and take turns presenting to each
other over the course of the semester.
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Wednesday September 10: Dustin on "Cohomology theories", E.H. Brown.
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Monday September 15: Thomas on "The Steenrod algebra and its dual",
J. Milnor.
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Wednesday September 17: Rex on "Quelques properietes globales des
varietes differentiables", R. Thom.
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Wednesday September 24: Nick on "On manifolds homeomorphic to the
7-sphere," J. Milnor.
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Monday September 29: Steven on "Higher algebraic K-theory I," D.
Quillen.
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Wednesday October 1: David on "Groups of Homotopy Spheres",
Kervaire/Milnor.
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Monday October 6: Dustin on "On the formal group laws of
unoriented and complex cobordism theory," D. Quillen
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Wednesday October 8: No Class
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Wednesday October 15: Rex on "The Geometric Realization of a
semi-simplicial complex," J. Milnor.
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Monday October 20: Nick on "Charakteristische Klassen und Anwen-
dungen", Atiyah and Hirzebruch.
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Wednesday October 22: Steven on "Finiteness conditions for CW
complexes." C.T.C. Wall.
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Monday October 27: David on "K-Theory and the Hopf Invariant", Adams
and Atiyah.
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Wednesday October 29: Tom on "Homology of Symmetric Products and other
Functors of Complexes", A. Dold.
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Monday, November 3: Dustin on "Homologie singuliere des espaces
fibres. I, Applications" J.P. Serre.
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