Includes bibliographical references and name index.

Prizes -- pt. A. Plenary lectures. Integrable combinatorics / P. Di Francesco -- Piecewise smooth perturbations of integrable systems / D. Dolgopyat -- Applications of random matrices to operator algebra theory / U. Haagerup -- Reading in the brain / K. Hepp -- d = 4, N = 2 field theory and physical mathematics / G.W. Moore -- Microlocal singularities and scattering theory for Schrödinger equations on manifolds / S. Nakamura -- The Kardar-Parisi-Zhang equation and universality class / J.D. Quastel -- Generalized entropies / F. Dupuis ... [et al.] -- Associative algebraic approach to logarithmic conformal field theory / H. Saleur -- The method of concentration compactness and dispersive Hamiltonian evolution equations / W. Schlag -- Quantum dynamics, coherent states and Bogoliubov transformations / B. Schlein -- Spectral theory of orthogonal polynomials / B. Simon -- Quasilocal mass and surface Hamiltonian in spacetime / M.-T. Wang -- Surprises in the phase diagram of the Anderson model on the Bethe lattice / S. Warzel -- Randomness -- a computational complexity perspective / A. Wigderson -- pt. B. Topical sessions. Dynamical systems, classical and quantum. Periodic solutions of the planetary N-body problem / L. Chierchia -- Entropy, chaos and weak horseshoe for infinite dimensional random dynamical systems / W. Huang -- Instability in nearly integrable Hamiltonian systems: geometric methods / T.M. Seara -- Unstable manifolds and L[symbol] nonlinear instability of Euler equations / C. Zeng -- Contributed talks -- Posters -- Equilibrium and non-equilibrium statistical mechanics. Stochastic stability and the spin glass phase. The state of art for mean field and finite dimensional models / P. Contucci -- Macdonald processes / A. Borodin and I. Corwin -- Some simple questions from nonequilibrium physics / W. De Roeck -- Conformal invariance of Ising model correlations / C. Hongler -- Entropic functionals in quantum statistical mechanics / V. Jakšić and C.-A. Pillet -- Stochastic energy exchange models with degenerate rate functions / M. Sasada -- Quantum Heisenberg models and random loop representations / D. Ueltschi -- Contributed talks -- Posters.

PDE and general relativity. Black hole formation from a complete regular past for Vlasov matter / H. Andréasson -- Symmetries and hidden symmetries for fields outside black holes / P. Blue -- Existence of dynamical vacuum black holes / G. Holzegel -- The role of Liouville type systems in the study of non-topological Chern-Simons vortices / R. Fortini and G. Tarantello -- Local dynamics near unstable branches of NLS solitons / T.-P. Tsai -- Breakdown criteria of Einstein equations in CMC gauge / Q. Wang -- Contributed talks -- Posters -- Stochastic models and probability. Complexity of random energy landscapes / G. Ben Arous -- Bulk universality for one-dimensional log-gases / P. Bourgade -- Vacant set of random walk on finite graphs / J. Cerny -- Invariant measures and the soliton resolution conjecture / S. Chatterjee -- Solving the KPZ equation / M. Hairer -- The Brownian map: a universal limit for random planar maps / J.-F. Le Gall -- Contributed talks -- Operator algebras, exactly solvable models. Razumov-Stroganov type correspondences / L. Cantini -- The resolvent algebra of the canonical commutation relations / H. Grundling -- Fermionic basis of local operators in quantum integrable models / M. Jimbo -- Some universal properties of Levin-Wen models / L. Kong -- On the developments of Sklyanin's quantum separation of variables for integrable quantum field theories / G. Niccoli -- Construction of wedge-local QFT through Longo-Witten endomorphisms / Y. Tanimoto -- Contributed talks -- Posters -- Quantum mechanics and spectral theory. Ground state properties of multi-polaron systems / R.L. Frank ... [et al.] -- Dynamical localization of random quantum walks on the lattice / A. Joye -- Inverse problems, trace formulae for Schrödinger operators on the square lattice / H. Isozaki and E. Korotyaev -- On the number of electrons that a nucleus can bind / P.T. Nam -- A trace formula for eigenvalue clusters of the perturbed Landau Hamiltonian / A.B. Pushnitski, G.D. Raikov and C. Villegas-Blas -- Absence of positive eigenvalues for hard-core N-body systems / K. Ito and E. Skibsted -- Contributed talks -- Posters -- Quantum information and computation. An improved area-law for the ground states of 1D gapped Hamiltonians / I. Arad -- Is a random state entangled? / G. Aubrun -- Criticality without frustration for quantum spin-1 chains / S. Bravyi -- Inner approximations of the one-body quantum marginal polytope / D. Gross -- Towards the fast scrambling conjecture / P. Hayden -- Finite-dimensional approximations of quantum systems and Connes' embedding conjecture / V.B. Scholz -- Contributed talks -- Posters.

Quantum many-body theory and condensed matter physics. Mean-field electronic structure models for disordered materials / É. Cancès, S. Lahbabi and M. Lewin -- The nematic phase of a system of long hard rods / A. Giuliani -- Mean field limits for photons -- a way to establish the semiclassical Schrödinger equation / V. Matulevicius and P. Pickl -- Microscopic derivation of the Ginzburg-Landau model / R.L. Frank ... [et al.] -- 2D Coulomb gas, Abrikosov lattice and renormalized energy / S. Serfaty -- Real analyticity of solutions to Schrödinger equations involving a fractional Laplacian and other Fourier multipliers / A. Dall'Acqua ... [et al.] -- Disordered Bose Einstein condensates with interaction / R. Seiringer, J. Yngvason and V.A. Zagrebnov -- Contributed talks -- Posters -- Quantum field theory. New light on infrared problems: sectors, statistics, spectrum and all that / D. Buchholz -- Two-dimensional quantum field models (with applications to lattice statistical mechanics) / P. Falco -- Construction and properties of noncommutative quantum fields / H. Grosse and R. Wulkenhaar -- A review of the 1/N expansion in random tensor models / R. Gurau -- Fedosov quantization approach to QFT / S. Hollands -- A field theoretic approach to stochastic calculus: exploring rough paths / J. Unterberger -- Contributed talks -- Posters -- String theory and quantum gravity. On-shell physics and the positive Grassmannian / J. Bourjaily -- Is a graviton detectable? / F. Dyson -- Exact spectrum of 4D conformal gauge theories from integrability / N. Gromov -- Quantum Teichmüller theory and TQFT / J.E. Andersen and R.M. Kashaev -- Instanton partition functions of N = 2 quiver gauge theories and integrable systems / V. Pestun -- From groups and knots to black hole entropy -- mathematical aspects of loop quantum gravity / H. Sahlmann -- Superconformal indices and partition functions for supersymmetric field theories / I.B. Gahramanov and G.S. Vartanov -- Contributed talks -- Other Topics. Posters -- pt. C. Young researcher symposium. Plenary talks -- Contributed talks.