Includes bibliographical references.

The Milnor sequence for _q\scr F(x) in characteristic 2 when scr F is perfect ; Spinor norm for local skewHermitian forms ; An introduction to triangular Witt groups and a survey of applications ; Regularity properties of positive definite integral quadratic forms ; Effective results on representations of quadratic forms ; Quaternary quadratic forms and Hilbert modular surfaces ; Real semigroups and abstract real spectra. I ; The role of characteristic vectors in the neighbour lattice process ; On representation by quadratic Bbb F_q[x] attices ; Diagonal forms of degree in characteristic ; Local densities and the representations of an integer by a definite quadratic form ; Periodicity of Hermitian heory and Milnor's roups ; Third proof of second gap in dimensions of quadratic forms from ^n ; Recent developments on universal forms ; Special Siegel modular forms and singular series polynomials of quadratic forms ; Quasihyperbolicity of totally singular quadratic forms ; Witt kernels of triquadratic extensions ; Antiautomorphisms of the second kind ; Reduction modulo 2 and 3 of Euclidean lattices. II ; The elementary type conjecture in quadratic form theory ; On Hilbert's theorem about ternary quartics ; Representation by integral quadratic forms a survey ; Representations by spinor genera of ternary quadratic forms ; A survey and a complement of fundamental Hermite constants Roberto Aravire and Bill Jacob ; Luis ArenasCarmona ; Paul Balmer ; Wai Kiu Chan A G Earnest and ByeongKweon Oh ; Wai Kiu Chan and Maria Ines Icaza ; Wai Kiu Chan and Meinhard Peters ; M Dickmann and A Petrovich ; Mark Gaulter ; Larry J Gerstein ; Detlev W Hoffmann ; Donald G James ; Max Karoubi ; Nikita A Karpenko ; MyungHwan Kim ; Winfried Kohnen ; Ahmed Laghribi ; David B Leep and Tara L Smith ; David W Lewis ; Jacques Martinet ; M Marshall ; Albrecht Pfister ; Rainer SchulzePillot ; Rainer SchulzePillot and Fei Xu ; Takao Watanabe