Geometric Methods in Physics XXXVI

FM.- Part I:Quantum Mechanics and Mathematics - Twareque Ali in Memoriam.-In Memory of S. Twareque Ali.- Two-dimensional non commutative Swanson model and its bicoherent states.- Universal Markov kernels for quantum observables.-  Coherent states associated to the Jacobi group and Berezin quantization of the Siegel-Jacobi ball.- 1D & 2D Covariant affine integral quantizations.- Diffeomorphism group representations in relativistic quantum field theory.- Part II: Noncommutative Geometry.- Skew derivations on down-up algebras.- On noncommutative geometry of the Standard Model: fermion multiplet as internal forms.- Recursion operator in a noncommutative Minkowski phase space.- Decompactifying spectral triples.- Dirac operator on a noncommutative Toeplitz torus.- Part III: Quantization.- Field quantization in the presence of external fields.- Quantization of Mathematical Theory of Non-Smooth Strings.- The reasonable effctiveness of mathematical deformation theory in physics.- Axiomatic attempt at states in deformation quantisation.- Exact Lagrangian submanifolds and the moduli space of special Bohr-Sommerfeld Lagrangian cycles.- Star Exponentials in Star Product Algebra.- Part IV: Integrable Systems.- Beyond recursion operators.- Kepler Problem and Jordan Algebras.- On Rank Two Algebro-Geometric Solutions of an Integrable Chain.- Part V: Differential Geometry and Physics.- The Dressing Field Method of Gauge Symmetry Reduction: Presentation and Examples.- A differential model for B-type Landau-Ginzburg theories.- On the Dirac type operators on symmetric tensors.- Surfaces which behave like vortex lines.- On the spin geometry of supergravity and string theory.- Conic sub-Hilbert-Finsler structure on a Banach manifold.- On Spherically Symmetric Finsler metrics.-Part VI: Topics in Spectral Theory.- Homogeneous rank one perturbations and inverse square potentials.- Generalized Unitarity Relation for Linear Scattering