Geometric Methods in Physics

Preface.- Gérard Emch in memoriam.- The Gérard I knew for 60 years!.- Pseudo-bosons and Riesz bi-coherent states.- Entropy of completely positive maps and applications to quantum information theory.- Some comments on indistinguishable particles and interpretation of the quantum mechanical wave function.- Hyperbolic Flows and the Question of Quantum Chaos.- A New Proof of the Helton-Howe-Carey-Pincus Trace Formula.- Quasi-Classical Calculation of Eigenvalues - Examples and a Question.- Supergroup actions and harmonic analysis.- Representations of nilpotent Lie groups via measurable dynamical systems.- Symbolic interpretation of the Molien function: free and non-free modules of covariants.- Momentum Maps for Smooth Projective Unitary Representations.- Canonical representations for hyperboloids: an interaction with an overalgebra.- On p-adic colligations and `rational maps' of  Bruhat-Tits trees.- Resonances for the Laplacian: the cases BC₂ and C₂ (except SO<0(p,2) with p>2 odd).- Howe's Correspondence and Characters.- Local inverse scattering.- Painlevé equations and supersymmetric quantum mechanics.- Change in energy eigenvalues against parameters.- Time dependent Pais-Uhlenbeck oscillator and its decomposition.- Quantum walks in low dimension.- Center-symmetric algebras  and bialgebras: relevant properties and  consequences.- N-point Virasoro algebras considered as Krichever-Novikov type algebras.- Star products on graded manifolds and '-corrections to double field theory.- Adiabatic limit in Ginzburg-Landau and Seiberg-Witten equations.- Variational tricomplex and BRST theory.- Quantisation of Hitchin's moduli space of a non-orientable surface.- Ramadanov theorem for weighted Bergman kernels on complex manifolds.- A characterization of domains of holomorphy by means of their weighted Skwarczynski distance.- Science and its Constraints (an unfinished story).