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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Müşterek Yazar: Conference Elliptic curves and modular forms in algebraic topology :Princeton, N.J.
Diğer Yazarlar: Landweber, Peter S., 1940-...., mathématicien (Yayın yönetmeni)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seri Bilgileri:Lecture notes in mathematics 1326
Konular:
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Autres localisations: Voir dans le Sudoc
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
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505 0 |a 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. 
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520 |a 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 considerable attention to formal groups, homology and cohomology theories, and circle actions on spin manifolds. Ed. Witten's rich article on the index of the Dirac operator in loop space presents a mathematical treatment of his interpretation of elliptic genera in terms of quantum field theory. A short introductory article gives an account of the growth of this area prior to the conference. 
650 |a Formes modulaires 
650 |a Courbes elliptiques 
650 |a Topologie algébrique 
650 |a Actes de congrès 
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