Available in electronic format
Available in print format
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory

Author(s): M. J. Hopkins; B. H. Gross
Journal: Bull. Amer. Math. Soc. 30 (1994), 76-86.
MSC (2000): Primary 14L05, 12H25
MathSciNet review: 1217353
Retrieve article in: PDF

References | Similar articles | Additional information

References:

*
{Ad:SHGH}J.~F. Adams, {\em Stable homotopy and generalised homology}, Univ. of Chicago Press, Chicago, 1974. MR 402720
*
{DevHop}E.~Devinatz and M.~J. Hopkins, {\em The action of the {Morava} stabilizer group on the {Lubin-Tate} moduli space of lifts}, submitted to Amer. J. Math. MR 1333942
*
{Drin:EM}V.~G. Drinfel'd, {\em Elliptic modules}, Math. USSR-Sb. {\bf 23} (1974), 561--592. MR 384707
*
{Fujiwara}Y.~Fujiwara, {\em On divisibilities of special values of real analytic {Eisenstein} series}, J. Fac. Sci. Univ. Tokyo {\bf 35} (1988), 393--410. MR 945885
*
{Grif:periods}P.~A. Griffiths, {\em Periods of integrals on algebraic manifolds}\,: {\em Summary of main results and discussion of open problems}, Bull. Amer. Math. Soc. {\bf 76} (1970), 228--296. MR 258824
*
{Gross:QC}B.~H. Gross, {\em On canonical and quasi-canonical liftings}, Invent. Math. {\bf 84} (1986), 321--326. MR 833193
*
{GH}B.~H. Gross and M.~J. Hopkins, {\em Equivariant vector bundles on the {Lubin-Tate} moduli space} (to appear in {\em Proceedings of theNorthwestern conference on algebraic topology and representation theory\/},Contemp. Math. (Eric Friedlander and Mark Mahowald, eds.),Amer. Math. Soc., Providence, RI). MR 1263712
*
{Groth:BT}A.~Grothendieck, {\em Groupes de {Barsotti-Tate} et cristaux}, Actes Congress Internat. Math., Nice (Paris), vol.~1, Gauthier-Villar, Paris, 1971, pp.~431--436. MR 578496
*
{Hart:Res}R.~Hartshorne, {\em Residues and duality}, Lecture Notes in Math., vol.~20, Springer-Verlag, New York, 1966. MR 222093
*
{Hop:GMHT}M.~J. Hopkins, {\em Global methods in homotopy theory}, Proceedings of the 1985 LondonMath. Soc. Symposium on Homotopy Theory (J.~D.~S. Jones and E.~Rees, eds.),Cambridge Univ. Press, Cambridge, 1987, pp.~73--96. MR 932260
*
{HR}M.~J. Hopkins and D.~C. Ravenel, {\em The chromatic tower} (inpreparation). MR
*
{HS}M.~J. Hopkins and J.~H. Smith, {\em Nilpotence and stable homotopy theory.\RM{II}} (to appear in Ann. of Math.). MR 1652975
*
{Illusie}L.~Illusie, {\em D\'eformations de groupes de {Barsotti-Tate}}, Seminaire sur les pinceaux arithm\'etiques: la conjecture de Mordell, Asterisque {\bf 127} (1985), 151--198. MR 801922
*
{Katz:Dwo}N.~Katz, {\em Travaux de {Dwork}}, Sem. Bourbaki, 1971/1972 (Berlin and New York), Lecture Notes in Math., vol. 417, Springer-Verlag, New York, 1973, expos\'e 409, pp.~431--436. MR 498577
*
{Katz:ICM}\bysame, {\em $p$-Adic {$L$}-functions, {Serre-Tate} local moduli, and ratios of solutions of differential equations}, Proceedings of the {ICM}, Helsinki, 1978, pp.~365--371. MR 562628
*
{Katz:Bombay}\bysame, {\em Crystelline cohomology, {Dieudonn\'e} modules and {Jacobi} sums}, Automorphic Forms, Representation Theory and Arithmetic, Tata Institute of Fundamental Research, Bombay, 1979, pp.~165--246. MR 633662
*
{Katz:Div}\bysame, {\em Divisibilities, congruences, and {Cartier} duality}, J. Fac. Sci. Univ. Tokyo {\bf 28} (1981), 667--678. MR 656042
*
{LT:Mod}J.~Lubin and J.~Tate, {\em Formal moduli for one parameter formal {Lie} groups}, Bull. Soc. Math. France {\bf 94} (1966), 49--60. MR 238854
*
{MM}B.~Mazur and W.~Messing, {\em Universal extensions and one dimensional crystalline cohomology}, Lecture Notes in Math., vol. 370, Springer-Verlag, Berlin and New York, 1974. MR 374150
*
{MRW}H.~R. Miller, D.~C. Ravenel, and W.~S. Wilson, {\em Periodic phenomena in the {Adams-Novikov} spectral sequence}, Ann. of Math. (2) {\bf 106} (1977), 469--516. MR 458423
*
{Morava}J.~Morava, {\em Noetherian localizations of categories of cobordism comodules}, Ann. of Math. (2) {\bf 121} (1985), 1--39. MR 782555
*
{Qui:FGL}D.~G. Quillen, {\em On the formal group laws of oriented and unoriented cobordism theory}, Bull. Amer. Math. Soc. {\bf 75} (1969), 1293--1298. MR 253350
*
{Rav:Loc}D.~C. Ravenel, {\em Localization with respect to certain periodic homology theories}, Amer. J. Math. {\bf 106} (1984), 351--414. MR 737778
*
{Rav:MU}\bysame, {\em Complex cobordism and stable homotopy groups of spheres}, Academic Press, New York, 1986. MR 860042
*
{Yu}J.-K. Yu, {\em On the moduli of quasi-canonical liftings}, submitted to Compositio Math. MR 1327148

Similar Articles:

Retrieve articles in Bulletin of the American Mathematical Society with MSC (2000): 14L05, 12H25, 55P

Retrieve articles in all Journals with MSC (2000): 14L05, 12H25, 55P


Additional Information:

DOI: 10.1090/S0273-0979-1994-00438-0
PII: S 0273-0979(1994)00438-0