Algebraic topology: VIASM 2012-2015 / Nguyen H.V. Hung, Lionel Schwarz, editors

Auteur secondaire : Hưng, Nguyễn H.V. - Editeur scientifique ; Schwarz, Lionel (1953-) - Editeur scientifiqueType de document: MonographieCollection: Lecture notes in mathematics ; 2194Langue: anglaisPays: SwisseÉditeur: Cham : Springer, 2017Description: 1 vol. (VII-178 p.) ; 24 cm ISBN: 9783319694337 ; br. ISSN: 0075-8434Note: Expanded papers from the courses held at the Vietnam Institute for Advanced Study in Mathematics (VIASM), Hanoi, 2012–2015Résumé: Publisher’s description: Held during algebraic topology special sessions at the Vietnam Institute for Advanced Studies in Mathematics (VIASM, Hanoi), this set of notes consists of expanded versions of three courses given by G. Ginot, H.-W. Henn and G. Powell. They are all introductory texts and can be used by PhD students and experts in the field. Among the three contributions, two concern stable homotopy of spheres: Henn focusses on the chromatic point of view, the Morava K(n)-localization and the cohomology of the Morava stabilizer groups. Powell’s chapter is concerned with the derived functors of the destabilization and iterated loop functors and provides a small complex to compute them. Indications are given for the odd prime case. Providing an introduction to some aspects of string and brane topology, Ginot’s contribution focusses on Hochschild homology and its generalizations. It contains a number of new results and fills a gap in the literature..Bibliographie: Bibliogr. en fin de chapitres. Sujets MSC: 55-06 Algebraic topology -- Proceedings, conferences, collections, etc
55P50 Algebraic topology -- Homotopy theory -- String topology
55Q45 Algebraic topology -- Homotopy groups -- Stable homotopy of spheres
55S10 Algebraic topology -- Operations and obstructions -- Steenrod algebra
18Gxx Category theory; homological algebra -- Homological algebra
En-ligne: Springer | MSN | zbMath
Location Call Number Status Date Due
Salle R 12496-01 / 55-06 HUN (Browse Shelf) Available

Expanded papers from the courses held at the Vietnam Institute for Advanced Study in Mathematics (VIASM), Hanoi, 2012–2015

Bibliogr. en fin de chapitres

Publisher’s description: Held during algebraic topology special sessions at the Vietnam Institute for Advanced Studies in Mathematics (VIASM, Hanoi), this set of notes consists of expanded versions of three courses given by G. Ginot, H.-W. Henn and G. Powell. They are all introductory texts and can be used by PhD students and experts in the field.

Among the three contributions, two concern stable homotopy of spheres: Henn focusses on the chromatic point of view, the Morava K(n)-localization and the cohomology of the Morava stabilizer groups. Powell’s chapter is concerned with the derived functors of the destabilization and iterated loop functors and provides a small complex to compute them. Indications are given for the odd prime case. Providing an introduction to some aspects of string and brane topology, Ginot’s contribution focusses on Hochschild homology and its generalizations. It contains a number of new results and fills a gap in the literature.

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