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Homotopy theory via algebraic geometry and group representations : [electronic resource] proceedings of a Conference on Homotopy Theory, March 23-27, 1997, Northwestern University / Mark Mahowald, Stewart Priddy, editors.

By: Conference on Homotopy Theory (1997 : Northwestern University)Contributor(s): Mahowald, M. E. (Mark E.), 1931- | Priddy, Stewart, 1940-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 220.Publication details: Providence, R.I. : American Mathematical Society, c1998Description: 1 online resource (xi, 379 p. : ill.)ISBN: 9780821878118 (online)Other title: Homotopy theory [Spine title]Subject(s): Homotopy theory -- Congresses | Geometry, Algebraic -- Congresses | Representations of groups -- CongressesAdditional physical formats: Homotopy theory via algebraic geometry and group representations :DDC classification: 514/.24 LOC classification: QA612.7 | .C647 1997Online resources: Contents | Contents

Contents:

Buildings, group extensions and the cohomology of congruence subgroups / Alejandro Adem -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03090 Hecke algebras acting on elliptic cohomology / Andrew Baker -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03091 Some root invariants and Steenrod operations in ${\rm Ext}_A(F_2,F_2)$ / Robert R. Bruner -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03092 Toward homology operations for mapping class groups / F. R. Cohen and Ulrike Tillmann -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03093 Spanier-Whitehead duality and critical points / Octavian Cornea -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03094 Comparing completions of a space at a prime / Paul Goerss -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03095 Toward the homotopy groups of the higher real $K$-theory $E{\rm O}_2$ / Vassily Gorbounov and Peter Symonds -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03096 Skew symmetric bundle maps / Daniel Henry Gottlieb -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03097 The Adams spectral sequence for Minami's theorem / Wen-Hsiung Lin and Mark Mahowald -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03098 Applications of the Minami-Webb formula to splitting classifying spaces / John Martino and Stewart Priddy -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03099 Brave new worlds in stable homotopy theory / J. P. May -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03100 The stable splitting of $B_{M_}$ and related groups / R. James Milgram and C. Overton -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03101 On the Kervaire invariant problem / Norihiko Minami -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03102 Schur $Q$-functions and a Kontsevich-Witten genus / Jack Morava -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03103 Stable splittings of classifying spaces of amalgams of finite groups / Daniel Juan-Pineda -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03104 What we still don't know about loop spaces of spheres / Douglas C. Ravenel -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03105 A topological calculus for formal power series / Nigel Ray -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03106 Notes on the Hopkins-Miller theorem / Charles Rezk -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03107 Commutative Morava homology Hopf algebras / Hal Sadofsky and W. Stephen Wilson -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03108 Northwestern 1997 Algebraic Topology Conference -- problems / Mark Mahowald and Stewart Priddy -- http://www.ams.org/conm/220/ http://dx.doi.org/10.1090/conm/220/03109

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Includes bibliographical references.

Buildings, group extensions and the cohomology of congruence subgroups / Alejandro Adem -- Hecke algebras acting on elliptic cohomology / Andrew Baker -- Some root invariants and Steenrod operations in ${\rm Ext}_A(F_2,F_2)$ / Robert R. Bruner -- Toward homology operations for mapping class groups / F. R. Cohen and Ulrike Tillmann -- Spanier-Whitehead duality and critical points / Octavian Cornea -- Comparing completions of a space at a prime / Paul Goerss -- Toward the homotopy groups of the higher real $K$-theory $E{\rm O}_2$ / Vassily Gorbounov and Peter Symonds -- Skew symmetric bundle maps / Daniel Henry Gottlieb -- The Adams spectral sequence for Minami's theorem / Wen-Hsiung Lin and Mark Mahowald -- Applications of the Minami-Webb formula to splitting classifying spaces / John Martino and Stewart Priddy -- Brave new worlds in stable homotopy theory / J. P. May -- The stable splitting of $B_{M_}$ and related groups / R. James Milgram and C. Overton -- On the Kervaire invariant problem / Norihiko Minami -- Schur $Q$-functions and a Kontsevich-Witten genus / Jack Morava -- Stable splittings of classifying spaces of amalgams of finite groups / Daniel Juan-Pineda -- What we still don't know about loop spaces of spheres / Douglas C. Ravenel -- A topological calculus for formal power series / Nigel Ray -- Notes on the Hopkins-Miller theorem / Charles Rezk -- Commutative Morava homology Hopf algebras / Hal Sadofsky and W. Stephen Wilson -- Northwestern 1997 Algebraic Topology Conference -- problems / Mark Mahowald and Stewart Priddy --