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Homotopy Theory via Algebraic Geometry and Group Representations
 
Edited by: Mark Mahowald Northwestern University, Evanston, IL
Stewart Priddy Northwestern University, Evanston, IL
Homotopy Theory via Algebraic Geometry and Group Representations
eBook ISBN:  978-0-8218-7811-8
Product Code:  CONM/220.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Homotopy Theory via Algebraic Geometry and Group Representations
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Homotopy Theory via Algebraic Geometry and Group Representations
Edited by: Mark Mahowald Northwestern University, Evanston, IL
Stewart Priddy Northwestern University, Evanston, IL
eBook ISBN:  978-0-8218-7811-8
Product Code:  CONM/220.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2201998; 379 pp
    MSC: Primary 55; 20;

    The academic year 1996–97 was designated as a special year in Algebraic Topology at Northwestern University (Evanston, IL). In addition to guest lecturers and special courses, an international conference was held entitled “Current trends in algebraic topology with applications to algebraic geometry and physics”. The series of plenary lectures included in this volume indicate the great breadth of the conference and the lively interaction that took place among various areas of mathematics. Original research papers were submitted, and all submissions were refereed to the usual journal standards.

    Features:

    • A paper prepared by C. Rezk on the Hopkins-Miller theorem.
    • A set of problems presented at a special problem session held at the conference.
    Readership

    Graduate students and research mathematicians working in algebraic topology.

  • Table of Contents
     
     
    • Articles
    • Alejandro Adem — Buildings, group extensions and the cohomology of congruence subgroups [ MR 1642885 ]
    • Andrew Baker — Hecke algebras acting on elliptic cohomology [ MR 1642886 ]
    • Robert R. Bruner — Some root invariants and Steenrod operations in ${\rm Ext}_A(F_2,F_2)$ [ MR 1642887 ]
    • F. R. Cohen and Ulrike Tillmann — Toward homology operations for mapping class groups [ MR 1642888 ]
    • Octavian Cornea — Spanier-Whitehead duality and critical points [ MR 1642889 ]
    • Paul Goerss — Comparing completions of a space at a prime [ MR 1642890 ]
    • Vassily Gorbounov and Peter Symonds — Toward the homotopy groups of the higher real $K$-theory $E{\rm O}_2$ [ MR 1642891 ]
    • Daniel Henry Gottlieb — Skew symmetric bundle maps [ MR 1642892 ]
    • Wen-Hsiung Lin and Mark Mahowald — The Adams spectral sequence for Minami’s theorem [ MR 1642893 ]
    • John Martino and Stewart Priddy — Applications of the Minami-Webb formula to splitting classifying spaces [ MR 1642894 ]
    • J. P. May — Brave new worlds in stable homotopy theory [ MR 1642895 ]
    • R. James Milgram and C. Overton — The stable splitting of $B_{M_{12}}$ and related groups [ MR 1642896 ]
    • Norihiko Minami — On the Kervaire invariant problem [ MR 1642897 ]
    • Jack Morava — Schur $Q$-functions and a Kontsevich-Witten genus [ MR 1642898 ]
    • Daniel Juan-Pineda — Stable splittings of classifying spaces of amalgams of finite groups [ MR 1642899 ]
    • Douglas C. Ravenel — What we still don’t know about loop spaces of spheres [ MR 1642900 ]
    • Nigel Ray — A topological calculus for formal power series [ MR 1642901 ]
    • Charles Rezk — Notes on the Hopkins-Miller theorem [ MR 1642902 ]
    • Hal Sadofsky and W. Stephen Wilson — Commutative Morava homology Hopf algebras [ MR 1642903 ]
    • Mark Mahowald and Stewart Priddy — Northwestern 1997 Algebraic Topology Conference—problems [ MR 1642904 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2201998; 379 pp
MSC: Primary 55; 20;

The academic year 1996–97 was designated as a special year in Algebraic Topology at Northwestern University (Evanston, IL). In addition to guest lecturers and special courses, an international conference was held entitled “Current trends in algebraic topology with applications to algebraic geometry and physics”. The series of plenary lectures included in this volume indicate the great breadth of the conference and the lively interaction that took place among various areas of mathematics. Original research papers were submitted, and all submissions were refereed to the usual journal standards.

Features:

  • A paper prepared by C. Rezk on the Hopkins-Miller theorem.
  • A set of problems presented at a special problem session held at the conference.
Readership

Graduate students and research mathematicians working in algebraic topology.

  • Articles
  • Alejandro Adem — Buildings, group extensions and the cohomology of congruence subgroups [ MR 1642885 ]
  • Andrew Baker — Hecke algebras acting on elliptic cohomology [ MR 1642886 ]
  • Robert R. Bruner — Some root invariants and Steenrod operations in ${\rm Ext}_A(F_2,F_2)$ [ MR 1642887 ]
  • F. R. Cohen and Ulrike Tillmann — Toward homology operations for mapping class groups [ MR 1642888 ]
  • Octavian Cornea — Spanier-Whitehead duality and critical points [ MR 1642889 ]
  • Paul Goerss — Comparing completions of a space at a prime [ MR 1642890 ]
  • Vassily Gorbounov and Peter Symonds — Toward the homotopy groups of the higher real $K$-theory $E{\rm O}_2$ [ MR 1642891 ]
  • Daniel Henry Gottlieb — Skew symmetric bundle maps [ MR 1642892 ]
  • Wen-Hsiung Lin and Mark Mahowald — The Adams spectral sequence for Minami’s theorem [ MR 1642893 ]
  • John Martino and Stewart Priddy — Applications of the Minami-Webb formula to splitting classifying spaces [ MR 1642894 ]
  • J. P. May — Brave new worlds in stable homotopy theory [ MR 1642895 ]
  • R. James Milgram and C. Overton — The stable splitting of $B_{M_{12}}$ and related groups [ MR 1642896 ]
  • Norihiko Minami — On the Kervaire invariant problem [ MR 1642897 ]
  • Jack Morava — Schur $Q$-functions and a Kontsevich-Witten genus [ MR 1642898 ]
  • Daniel Juan-Pineda — Stable splittings of classifying spaces of amalgams of finite groups [ MR 1642899 ]
  • Douglas C. Ravenel — What we still don’t know about loop spaces of spheres [ MR 1642900 ]
  • Nigel Ray — A topological calculus for formal power series [ MR 1642901 ]
  • Charles Rezk — Notes on the Hopkins-Miller theorem [ MR 1642902 ]
  • Hal Sadofsky and W. Stephen Wilson — Commutative Morava homology Hopf algebras [ MR 1642903 ]
  • Mark Mahowald and Stewart Priddy — Northwestern 1997 Algebraic Topology Conference—problems [ MR 1642904 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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