Albin P., Jakobson D., Rochon F. (eds.) Geometric and Spectral Analysis

Providence: Americam Mathematical Society. 2014. — 378 p.In 2012, thematic programs on Geometric Analysis and Spectral Theory and on Moduli spaces, Extremality and Global Invariants were held at the CRM. There were several workshops on cutting-edge topics in geometric analysis and spectral theory, notably on the Geometry of Eigenvalues and Eigenfunctions, on Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis and on Spectral invariants on non-compact and singular spaces. This was the occasion to learn about the most recent developments in various interconnected fields and also the starting point for new investigations and fruitful collaborations.
The 2012 Spring Semester on Geometric Analysis and Spectral Theory at the CRM brought together researchers working in these fields interpreted in a broad sense, so as to include applications to fundamental problems in geometry, PDE, dynamical systems and mathematical physics. The present CRM Proceedings includes articles written by participants of the workshops in Geometry of Eigenvalues and Eigenfunctions and on Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis.