Dirac Operators: Yesterday and Today (2010 re-issue)

Contents Part 1. Summer School Introduction to the Dirac Operator (by H. Blaine Lawson, Jr.) Introduction to Differential Manifolds (by Christian Bär) Clifford Algebras and Spinor Representations (by Oussama Hijazi) Holonomy and Special Geometries (by Robert Bryant) A Visit to Representation Theory (by Robert J. Stanton) The Atiyah-Singer Index Theorem and Applications (by H. Blaine Lawson, Jr.) The Spectrum of the Dirac Operator (by Christian Bär) Conformal Structure and Spin Geometry (by Thomas Branson) A Brief Introduction to Particle Interactions (by Ali H. Chamseddine) Part 2. Workshop Ambient Dirac Eigenvalue Estimates and the Willmore Functional (by Bernd Ammann) The Geometric Structure of Lorentzian Manifolds with Twistor Spinors in low Dimension (by Helga Baum and Felipe Leitner) Geometric Spectrum of Isospectral Spherical Space forms (by Fida El Chami) Towards a Basic Index Theory (by Aziz El Kacimi) Reilly-type Spinoral Inequalities (by Nicolas Ginoux) Dirac Operators and Hypersurfaces (by Sebastián Montiel) From Kirchberg's Inequality to the Goldberg Conjecture (by Andrei Moroianu)