Rudolf Scharlau

Research

Classifying lattices using modular forms, joint with Boris B. Venkov; in: M. Ozeki, E. Bannai, M. Harada (eds.): Codes, Lattices, Modular Forms and Vertex Operator Algebras, Conference Yamagata University, October 2 - 4, 2000 (Proceedings 2001)
On the classification of arithmetic reflection groups on hyperbolic 3-space, 26 pages, Bielefeld 1989, scan as pdf

Seminar über Komplexe Multiplikation (nach Max Deuring, Serge Lang), Bielefeld 1979 Vortrag 1 Vortrag 2 Vortrag 3

Existenz und Nichtexistenz von extremalen Gittern, TU Darmstadt, 21.06.2011, Folien als pdf
Similar Sublattices of Higher-Dimensional Lattices, Erwin Schrödinger Institute, Vienna, 08.06 2011
Existence and Non-Existence of Extremal Lattices, TU Wien, Institut für Diskrete Mathematik und Geometrie, 07.06.2011, slides as pdf
Existenz und Nichtexistenz von extremalen Gittern, Universität Rostock, Kolloquium, 13.04.2011
Classification of p-Elementary and Extremal Lattices, Workshop on the Arithmetic of Quadratic Forms and Integral Lattices, Futrono, Lago Ranco, Chile, 14.12.2010, slides as pdf
On the explicit construction of arithmetic hyperbolic reflection groups, Conference "Lie algebras, vertex algebras and automorphic forms", ICMS Edinburgh, 31.08.2009, slides as pdf
Martin Kneser's Work on Quadratic Forms and Algebraic Groups, International Conference on the Arithmetic and Algebraic Theory of Quadratic Forms, Llanquihue, Chile, 19.12.2007 slides as pdf
Arithmetik, Algebra und Geometrie quadratischer Formen, Gedenkkolloquium für Martin Kneser, Göttingen, 13.01.2005

Data for the paper Unimodular Lattices in Dimensions 14 and 15 over the Eisenstein Integers, with Kanat Abdukhalikov (2007): tables of indecomposable lattices Gram matrices in dim 14 Gram matrices in dim 15