Lattices and applications. (Q2487169)

Contributions: --Boris Venkov, Perfect lattices and spherical designs p.9 --Aloys Krieg, Lattices and Modular Forms p.10 --Eiichi Bannai (joint with Masao Koike, Masashi Shinohara, Makoto Tagami), Spherical designs, extremal lattices and the Fourier coefficients modulo \(p\) of the extremal modular forms p.12 --Roland Bacher, On the Minkowski-Hlawka bound for lattice-packings p.15 --Rainer Schulze-Pillot (joint with Hidenori Katsurada), A matching principle for theta series and theta integrals p.17 --Emanuele Viterbo (joint with E. Bayer-Fluckiger, J-C. Belfiore, F. Oggier, G. Rekaya), Algebraic lattices and channel coding for digital transmission p.20 --René Schoof, Arakelov class groups and ideal lattices p.23 --Jacques Martinet (joint with Anne-Marie Bergé), Voronoi graphs, cells, and spherical designs p.24 --Kanat Abdukhalikov (joint with Rudolf Scharlau), Unimodular hermitian lattices p.27 --Michael Baake (joint with Daniel Lenz, Robert V. Moody), Model sets as generalizations of lattices p.30 --Jean-Benoît Bost, Lattices and hermitian vector bundles in Arakelov geometry p.33 --Abhinav Kumar (joint with Henry Cohn), Optimality and Uniqueness of the Leech lattice among lattices p.34 --Jean-Claude Belfiore, Application of a new lattice reduction algorithm p.37 --Jean-Pierre Serre, BL-bases and unitary groups in characteristic 2 p.37 --Philippe Elbaz-Vincent (joint with Herbert Gangl, Christophe Soulé), Perfect Lattices, Homology of Modular groups and Algebraic K-Theory p.41 --Phong Q. Nguyên (joint with Damien Stehlé), On Reduction Theory and its Algorithmic Aspects p.44 --Pham Huu Tiep (joint with Robert M. Guralnick), Weil representations, Clifford groups, and conjectures of Larsen and Katz p.45 --Frank Vallentin (joint with Achill Schürmann), Sphere Coverings in Dimensions \(1,\dots,24\) p.48 --Renaud Coulangeon, Hermite constants p.52 --Tomoyoshi Ibukiyama, K. Saito's conjecture on positivity of eta products and ''extremal pair'' of lattices p.54 --Klaus Künnemann (joint with Jean-Benoît Bost), Hermitian vector bundles and extension groups on arithmetic varieties p.56 --Myung-Hwan Kim (joint with Wai-Kiu Chan, Byeong Moon Kim, Byeong-Kweon Oh), A local-global principle for extensibility of representations of quadratic forms and applications p.57 --Takao Watanabe, Minkowski's second theorem over a simple algebra p.59 --Siegfried Böcherer, On the basis problem for squarefree levels p.61