Topics seminar in algebraic topology
In the spring 2011, we ran a short seminar on the telescope conjecture, a major problem in chromatic homotopy theory.
Time: (some) Tuesdays 23 PM, unless otherwise noted.
Location: 241 Altgeld.
Date 
Speaker 
Title 
Notes 
March 15, 11 AM 
Martin Frankland 
Finite localizations and the telescope conjecture 
Main reference: [6] 
April 5 
Martin Frankland 
Equivalent statements of the conjecture 
Notes from the talk 
April 12 
Nat Stapleton 
The thick subcategory theorem 

April 19, 11 AM 
Charles Rezk 
The AdamsNovikov spectral sequence of the telescope 

April 26 
Bertrand Guillou 
Construction of type n complexes 

May 3 
Charles Rezk 
The solution for n=1 

Useful references
 M. Hopkins and J. Smith, Nilpotence and stable homotopy theory II. Ann. of Math. (2) 148 (1998), no. 1, 149.
 M. Hovey, Bousfield localization functors and Hopkins' chromatic splitting conjecture. The Cech centennial (Boston, MA, 1993), 225250, Contemp. Math., 181, AMS, Providence, RI, 1995.
 M. Hovey, v_{n}elements in ring spectra and applications to bordism theory. Duke Math. J. 88 (1997), no. 2, 327356.
 M. Hovey, N. Strickland, Morava Ktheories and localisation. Mem. Amer. Math. Soc. 139 (1999), no. 666.
 M. Mahowald, D. Ravenel, and P. Shick, The triple loop space approach to the telescope conjecture. Homotopy methods in algebraic topology (Boulder, CO, 1999), 217284,
Contemp. Math., 271, AMS, Providence, RI, 2001.
 H. Miller, Finite localizations. Papers in honor of José Adem. Bol. Soc. Mat. Mexicana (2) 37 (1992), no. 12, 383389.
 D. Ravenel, Localization with respect to certain periodic homology theories. Amer. J. Math. 106 (1984), no. 2, 351414.
 D. Ravenel, Life after the telescope conjecture. Algebraic Ktheory and algebraic topology (Lake Louise, AB, 1991), 205222, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 407, Kluwer Acad. Publ., Dordrecht, 1993.
 D. Ravenel, Nilpotence and periodicity in stable homotopy theory, Ann. of Math. Stud., 128, Princeton Univ. Press, Princeton, NJ, 1992.
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