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. Presents up to date results and their historical background, in particular their roots in Weyl's work. Surveys by leading experts from many different areas of mathematics. Broad and accessible presentation INDICE: 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 andbranching R. E. Howe, E.-C. Tan and J. F. Willenbring; 11. Character formulaefrom Hermann Weyl to the present Jens Carsten Jantzen; 12. The classificationof Affine buildings Richard M. Weiss; 13. Emmy Noether and Hermann Weyl PeterRoquette
- ISBN: 978-0-521-71788-5
- Editorial: Cambridge University Press
- Encuadernacion: Rústica
- Páginas: 354
- Fecha Publicación: 16/10/2008
- Nº Volúmenes: 1
- Idioma: Inglés