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Recent Progress in Homotopy Theory: Proceedings of a Conference on Recent Progress in Homotopy Theory, March 17-27, 2000, Johns Hopkins University, Baltimore, MD (Contemporary Mathematics) - Tapa blanda

 
9780821828014: Recent Progress in Homotopy Theory: Proceedings of a Conference on Recent Progress in Homotopy Theory, March 17-27, 2000, Johns Hopkins University, Baltimore, MD (Contemporary Mathematics)

Sinopsis

This volume presents the proceedings from the month-long program held at Johns Hopkins University (Baltimore, MD) on homotopy theory, sponsored by the Japan-U.S. Mathematics Institute (JAMI). The book centers on the following: classical and nonclassical theory of $H$-spaces, compact groups, and finite groups, classical and chromatic homotopy theory and localization, classical and topological Hochschild cohomology, elliptic cohomology and its relation to Moonshine and topological modular forms, and motivic cohomology and Chow rings. It surveys the current state of research in homotopy theory and suggests a framework for future developments. The book begins with two historical accounts, of the work of Professors Peter Landweber and Stewart Priddy, in honor of their sixtieth birthdays.

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Reseña del editor

This volume presents the proceedings from the month-long program held at Johns Hopkins University (Baltimore, MD) on homotopy theory, sponsored by the Japan-U.S. Mathematics Institute (JAMI). The book begins with historical accounts on the work of Professors Peter Landweber and Stewart Priddy. Central among the other topics are the following: 1. classical and nonclassical theory of $H$-spaces, compact groups, and finite groups, 2. classical and chromatic homotopy theory and localization, 3. classical and topological Hochschild cohomology, 4. elliptic cohomology and its relation to Moonshine and topological modular forms, and 5. motivic cohomology and Chow rings. This volume surveys the current state of research in these areas and offers an overview of future directions.

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