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Euclidean lattices, spherical designs and modular forms. On the works of Boris Venkov. (Résaux euclidiens, designs sphériques et formes modulaires. Autour des travaux de Boris Venkov.) (French) Zbl 1054.11034

Monographies de l’Enseignement Mathématique 37. Genève: L’Enseignement Mathématique (ISBN 2-940264-02-3/pbk). 272 p. (2001).

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Contents: Boris Venkov, Réseaux et designs sphériques (Lattices and spherical designs) (10–86); Christine Bachoc and Boris Venkov, Modular forms, lattices and spherical designs (87–111); Jacques Martinet and Boris Venkov, Les réseaux fortement eutactiques (Strongly eutactic lattices) (112–134); Jacques Martinet, Sur certains designs sphériques liés à des réseaux entiers (Spherical designs and integral lattices) (135–146); Renaud Coulangeon, Voronoï theory over algebraic number fields (147–162); Jacques Martinet, Sur l’indice d’un sous-réseau (The index of a sublattice) (163–211); Roland Bacher and Boris Venkov, Réseaux entiers unimodulaires sans racines en dimensions 27 et 28 (Unimodular integer lattices without roots in dimensions 27 and 28) (212–267); Peter Engel, Louis Michel and Marjorie Senechal, New geometric invariants for Euclidean lattices (268–272).
On pp. 8-9 a short obituary for Louis Michel (1923–1999) is given by Peter Engel and Marjorie Senechal.
The articles of this volume will be reviewed individually.
Indexed articles:
Engel, Peter; Senechal, Marjorie, Louis Michel, 8-9 [Zbl 1056.01506]
Venkov, Boris, Lattices and spherical designs, 10-86 [Zbl 1139.11320]
Bachoc, Christine; Venkov, Boris, Modular forms, lattices and spherical designs, 87-111 [Zbl 1061.11035]
Martinet, Jacques; Venkov, Boris, Strongly eutactic lattices, 112-134 [Zbl 1131.11344]
Martinet, Jacques, Spherical designs and integral lattices, 135-146 [Zbl 1065.11050]
Coulangeon, Renaud, Voronoï theory over algebraic number fields, 147-162 [Zbl 1139.11321]
Martinet, Jacques, The index of a sublattice, 163-211 [Zbl 1065.11051]
Bacher, Roland; Venkov, Boris, Unimodular integral lattices without roots in dimensions 27 and 28, 212-267 [Zbl 1139.11319]
Engel, Peter; Michel, Louis; Senechal, Marjorie, New geometric invariants for Euclidean lattices, 268-272 [Zbl 1064.11046]

MSC:

11Hxx Geometry of numbers
11-06 Proceedings, conferences, collections, etc. pertaining to number theory
00B25 Proceedings of conferences of miscellaneous specific interest
00B30 Festschriften

Biographic References:

Venkov, Boris
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