Elliptic Curves and Modular Forms in Algebraic Topology : Proceedings of a Conference held at the Institute for Advanced Study Princeton, Sept. 15 17, 1986

A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology. The resulting papers range, fom these topics through to quantum field theory, with co...

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Körperschaft: Conference Elliptic curves and modular forms in algebraic topology :Princeton, N.J.
Weitere Verfasser: Landweber, Peter S., 1940-...., mathématicien (Verlagsleitung)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe:Lecture notes in mathematics 1326
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Edition sous un autre format:• Elliptic curves and modular forms in algebraic topology, proceedings of a conference held at the Institute for advanced study, Princeton, Sept. 15-17, 1986, P.S. Landweber (ed.), 1988, Berlin, Springer-Verlag, 1 volume (224 pages), Lecture notes in mathematics, 0-387-19490-8
• Elliptic Curves and Modular Forms in Algebraic Topology, Texte imprimé, 9783662203811
Inhaltsangabe:
  • Elliptic genera: An introductory overview
  • Elliptic formal groups over ? and F p in applications to number theory, computer science and topology
  • Elliptic cohomology and modular forms
  • Supersingular elliptic curves and congruences for legendre polynomials
  • Some weil group representations motivated by algebraic topology
  • Genres elliptiques equivariants
  • Complex cobordism theory for number theorists
  • Dirichlet series and homology theory
  • Constrained Hamiltonians an introduction to homological algebra in field theoretical physics
  • The index of the dirac operator in loop space
  • Jacobi quartics, legendre polynomials and formal groups
  • Note on the Landweber-Stong elliptic genus.