Geometric Analysis and Lie Theory in Mathematics and Physics

Graduate lectures on the interface between mathematics and physics.

Alan L. Carey (Edited by), Michael K. Murray (Edited by)

9780521624909, Cambridge University Press

Paperback, published 16 October 1997

304 pages
22.9 x 15.2 x 1.7 cm, 0.405 kg

'The presented selection of the best survey lectures among many graduate workshops held in Adelaide treats very interesting topics for current research and can be recommended to all readers interested in this modern field of mathematics.' European Mathematical Society

This book brings together a selection of the best lectures from many graduate workshops held at the Australian National Institute for Theoretical Physics in Adelaide. The lectures presented here describe subjects currently of great interest, generally at the interface between mathematics and physics, and also where suitable expositions did not previously exist at a level suitable for graduate students. Topics covered include quantum groups, the operator algebra approach to the integer quantum Hall effect, solvable lattice models and Hecke algebras, Yangevins, equivariant cohomology and symplectic geometry, and von Neumann invariants of covering spaces.

1. Applications of equivariant cohomology to symplectic geometry and moduli spaces L. Jeffrey and F. Kirwan
2. Quantum groups: a survey of definitions, motivations and results A. Ram
3. Spinon decomposition and Yangian structure of sln modules P. Bouwknegt and K. Schoutens
4. Geometry and the integer quantum Hall effect P. McCann
5. L2 invariants of covering spaces V. Mathai
6. Combinatorics of solvable lattice models, and modular representations of Hecke algebras O. Foda et al.

Subject Areas: Differential & Riemannian geometry [PBMP]