Algebraic and Arithmetic Theory of Quadratic Forms

The Milnor sequence for $W_q\mathcal{F}(x)$ in characteristic 2 when $\mathcal{F}$ is perfect by R. Aravire and B. Jacob Spinor norm for local skew-Hermitian forms by L. Arenas-Carmona An introduction to triangular Witt groups and a survey of applications by P. Balmer Regularity properties of positive definite integral quadratic forms by W. K. Chan, A. G. Earnest, and B.-K. Oh Effective results on representations of quadratic forms by W. K. Chan and M. I. Icaza Quaternary quadratic forms and Hilbert modular surfaces by W. K. Chan and M. Peters Real semigroups and abstract real spectra. I by M. Dickmann and A. Petrovich The role of characteristic vectors in the neighbour lattice process by M. Gaulter On representation by quadratic $\mathbb{F}_q[x]$-lattices by L. J. Gerstein Diagonal forms of degree $p$ in characteristic $p$ by D. W. Hoffmann Local densities and the representations of an integer by a definite quadratic form by D. G. James Periodicity of Hermitian K-theory and Milnor's K-groups by M. Karoubi Third proof of second gap in dimensions of quadratic forms from $I^n$ by N. A. Karpenko Recent developments on universal forms by M.-H. Kim Special Siegel modular forms and singular series polynomials of quadratic forms by W. Kohnen Quasi-hyperbolicity of totally singular quadratic forms by A. Laghribi Witt kernels of triquadratic extensions by D. B. Leep and T. L. Smith Anti-automorphisms of the second kind by D. W. Lewis Reduction modulo 2 and 3 of Euclidean lattices, II by J. Martinet The elementary type conjecture in quadratic form theory by M. Marshall On Hilbert's theorem about ternary quartics by A. Pfister Representation by integral quadratic forms-A survey by R. Schulze-Pillot Representations by spinor genera of ternary quadratic forms by R. Schulze-Pillot and F. Xu A survey and a complement of fundamental Hermite constants by T. Watanabe.