You can upload your reading responses to the Box folder I will send
you via email. Make sure your last name is in the file name, and put
it in the appropriate folder. Any reasonable format is ok: you can
handwrite and scan as .pdf, or make a .txt file, or a .doc file, or a
.pdf produced from TeX.
The idea of a reading response is to capture your thoughts about the paper. It need only be a few sentences. Here are some questions you can try answer in it.
What struck you most about the paper?
How does this paper fit in with other mathematics you know?
What questions does this paper raise for you?
Is there anything in the paper you would like to learn more
about?
Class schedule
W 18 Jan. Introductory meeting.
F 20 Jan. no class
M 23 Jan. no class
W 25 Jan. no class
F 27 Jan. Hongyi Liu. Kan, "Adjoint functors"
M 30 Jan. Matthew Niemiro. Adams, "On the cobar construction"
W 1 Feb. Wyatt Kuehster. Brown, "Cohomology
theories"
F 3 Feb. Charles Rezk. Moore, "Semisimplicial
complexes and Postnikov systems"
M 6 Feb. no class
W 8 Feb. no class
F 10 Feb. Abishek Desai. Milnor, "Construction of
universal bundles" I and II
M 13 Feb. no class
W 15 Feb. Yigal Kamel. Atiyah-Hirzebruch, "Vector
bundles and homogeneous spaces"
F 17 Feb. Ada Stelzer. Swan, "Periodic complexes"
M 20 Feb. Levi Poon. Milnor, "On the construction
of FK"
W 22 Feb. Johnson Tan. Segal, "Classifying spaces
and spectral sequences"
F 24 Feb. Ari Lerman. Atiyah, "Bordism and
cobordism"
M 27 Feb. Ruoxi Li. Quillen, "Homotopical algebra,
ch 1"
W 1 Mar. Garrett Credi. Adams, "Vector fields on
spheres"
F 3 Mar. Dinglong Wong. Dyer-Lashof, "Bott
periodicity"
M 6 Mar. Fengyuan Lin. Bieri-Eckmann, "Groups with
homological duality generalizing Poincare duality"
W 8 Mar. Haoran Yin. Bousfield, "Localization of
spaces with respect to homology"
F 10 Mar. Charles Rezk: remarks on stable homotopy
theory and duality
M 13 Mar. Spring break, no class.
W 15 Mar. Spring break, no class.
F 17 Mar. Spring break, no class.
M 20 Mar. no class (Northwestern conference)
W 22 Mar. no class (Northwestern conference)
F 24 Mar. no class (Northwestern conference)
M 27 Mar. Charles Rezk: more remarks on spectra and duality
W 29 Mar. Ada Stelzer. Kahn-Priddy, "Transfer in
the homology of symmetric groups"
F 31 Mar. Charles Rezk: remarks on spectra and
cohomology operations
M 3 Apr. Abhishek Desai. Milnor, "Topology from the
differentiable viewpoint"
W 5 Apr. Matthew Niemiro, Quillen, "On the
cohomology and K-theory of the general linear groups over a finite field"
F 7 Apr. Wyatt Kuehster. Adams, "Stable homotopy
theory (Lecture Notes in Math 3)"
M 10 Apr. Charles Rezk. Remarks on algebraic K-theory.
W 12 Apr. Ari Lerman. Dror, "Acyclic complexes"
F 14 Apr. Ruoxi Li. Hollander, "A homotopy theory
for stacks"
M 17 Apr. Hongyi Liu. Segal, "Categories and
cohomology theories"
W 19 Apr. Dinglong Wong, Joyal, "Quasicategories and Kan complexes"
F 21 Apr. Levi Poon. Dwyer-Kan, "Function complexes in homotopical algebra"
M 24 Apr. Garrett Credi. Adams, "On J(X) IV"
W 26 Apr. Yigal Kamel. Segal, "Elliptic cohomology"
F 28 Apr. Charles Rezk: random remarks.
M 1 May. Fengyuan Lin, Milnor, "K-theory and quadratic forms"
W 3 May. Haoran Yin, Moerdijk-Weiss, "Dendroidal sets"
Last modified 27 Apr 2023 by Charles Rezk. Email:
rezk@illinois.edu