Functional Analysis on the Eve of the 21st Century: In Honor of the Eightieth Birthday of I. M. Gelfand

ISBN-13: 9781461286516 / Angielski / Miękka / 2012 / 328 str.

Simon Gindikin; James Lepowsky; Robert Wilson

Opis

These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry.

Spis treści

Positive Curvature, Macroscopic Dimension, Spectral Gaps, and Higher Signatures.- Geometric Construction of Polylogarithms, II.- A Note on Localization and the Riemann-Roch Formula.- A Note on ODEs from Mirror Symmetry.

O autorze

Robert Wilson, 1957 in England geboren, studierte an der Universität von Oxford. Er lebt abwechselnd in England, Spanien und Portugal. Für seine Thriller erhielt er bereits zahlreiche Preise.

Blurb

These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry.

The second of the two volumes contains the somewhat more 'geometric' papers, although such a designation is to a certain extent arbitrary, because of the breadth of the papers.