Groups and Analysis
The Legacy of Hermann Weyl

Leading experts outline the connections between Weyl's theorems and current results in dynamical systems, invariant theory and partial differential equations.

Katrin Tent (Edited by)

9780521717885, Cambridge University Press

Paperback, published 16 October 2008

354 pages, 3 tables
22.8 x 15.3 x 1.8 cm, 0.47 kg

'… offers an interesting overview of the impact of H. Weyl's work on contemporary mathematics.' EMS Newsletter

Many areas of mathematics were deeply influenced or even founded by Hermann Weyl, including geometric foundations of manifolds and physics, topological groups, Lie groups and representation theory, harmonic analysis and analytic number theory as well as foundations of mathematics. In this volume, leading experts present his lasting influence on current mathematics, often connecting Weyl's theorems with cutting edge research in dynamical systems, invariant theory, and partial differential equations. In a broad and accessible presentation, survey chapters describe the historical development of each area alongside up-to-the-minute results, focussing on the mathematical roots evident within Weyl's work.

List of speakers and talks
1. Harmonic analysis on compact symmetric spaces Roe Goodman
2. Weyl, Eigenfunction expansions, symmetric spaces Erik van den Ban
3. Weyl's Work on singular Sturm-Liouville operators W. N. Everitt and H. Kalf
4. From Weyl quantization to modern algebraic index theory Markus J. Pflaum
5. Sharp spectral inequalities for the Heisenberg Laplacian A. M. Hansson and A. Laptev
6. Equidistribution for quadratic differentials Ursula Hamenstädt
7. Weyl's law in the theory of automorphic forms Werner Müller
8. Weyl's Lemma, one of many Daniel W. Stroock
9. Analysis on foliated spaces and arithmetic geometry Christopher Deninger
10. Reciprocity algebras and branching R. E. Howe, E.-C. Tan and J. F. Willenbring
11. Character formulae from Hermann Weyl to the present Jens Carsten Jantzen
12. The classification of Affine buildings Richard M. Weiss
13. Emmy Noether and Hermann Weyl Peter Roquette.

Subject Areas: Calculus & mathematical analysis [PBK], Algebra [PBF]