By Garrett P.
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Extra resources for Archimedean Zeta Integrals for Unitary Groups (2006)(en)(18s)
His entire life passed in one city and in one building. " A complete picture of his life can be gained from the scientific diary Mobius wrote every night and by which we can trace the evolution of his views, interests, and ideas, the only things which changed in that fully regulated life. It is paradoxical that modesty and even shyness in everyday life combined in that impressive figure with boldness, fantasy and inventiveness in science, profound thoughts, and outstanding teaching abili ties.
Properties dealing only with small neighborhoods of a point) of curves and surfaces. 50 Darboux's voluminous and profound works (mention should be made, above all, of Lefons sur Ia theorie generale des su�faces et les applications geometriques du calcul infinitesimal, Vol. 1 -4, Paris, Gauthier-Villars, 1 887- 1 896; second edition 19 14-1925) influenced both Klein and, especially, Lie. In particular, many of Lie's works were inspired by the approach of the General Theory of Surfaces, which organically combines differential geometry and the theory of differential equations.
His father wanted him to follow in his footsteps and become a pastor, and Sophus gave serious thought to studying theology. It was much later, after considerable thought and not without painful doubts, that he undertook the study of mathematics and natural sciences. At first, his studies at Christiania University failed to put an end to his doubts. The breakthrough came in 1 868, when Lie read the works of V. Poncelet and J. Plucker (to which we will return below). These outstanding geometers made the strongest impression on the young Lie.
Archimedean Zeta Integrals for Unitary Groups (2006)(en)(18s) by Garrett P.