Ebook: Functional Analysis on the Eve of the 21st Century: Volume I In Honor of the Eightieth Birthday of I.M. Gelfand
- Tags: Functional Analysis
- Series: Progress in Mathematics 131
- Year: 1995
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-xxiii
Connection formulas in the q-analog de Rham cohomology....Pages 1-12
Lagrangian Models of Minimal Representations of E 6 E 7 and E 8 ....Pages 13-63
Trigonometric Solutions of the Yang-Baxter Equation, Nets, and Hypergeometric Functions....Pages 65-118
Analogies between the Langlands Correspondence and Topological Quantum Field Theory....Pages 119-151
“Forms” of the Principal Series for GL n ....Pages 153-171
Geometry of determinants of elliptic operators....Pages 173-197
Quantum groups at v = ?....Pages 199-221
The Symplectic Operad....Pages 223-243
Quadratic unipotent representations of p-adic groups....Pages 245-262
On the Master Field in Two Dimensions....Pages 263-281
Physical Methods Applied to Donaldson Theory....Pages 283-292
Back Matter....Pages 293-296
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.
Content:
Front Matter....Pages i-xxiii
Connection formulas in the q-analog de Rham cohomology....Pages 1-12
Lagrangian Models of Minimal Representations of E 6 E 7 and E 8 ....Pages 13-63
Trigonometric Solutions of the Yang-Baxter Equation, Nets, and Hypergeometric Functions....Pages 65-118
Analogies between the Langlands Correspondence and Topological Quantum Field Theory....Pages 119-151
“Forms” of the Principal Series for GL n ....Pages 153-171
Geometry of determinants of elliptic operators....Pages 173-197
Quantum groups at v = ?....Pages 199-221
The Symplectic Operad....Pages 223-243
Quadratic unipotent representations of p-adic groups....Pages 245-262
On the Master Field in Two Dimensions....Pages 263-281
Physical Methods Applied to Donaldson Theory....Pages 283-292
Back Matter....Pages 293-296
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