Number Theory, Analysis and Geometry In Memory of Serge Lang [Paperback]

Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future.In the spirit of Langs vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas of the field, namely Number Theory, Analysis, and Geometry, representing Langs own breadth of interest and impact. A special introduction by John Tate includes a brief and fascinating account of the Serge Langs life.This volume's group of 6 editors are also highly prominent mathematicians and were close to Serge Lang, both academically and personally. The volume is suitable to research mathematicians in the areas of Number Theory, Analysis, and Geometry.In honor of Serge Langs vast contribution to mathematics, this memorial volume presents articles by prominent mathematicians. Reflecting the breadth of Lang's own interests and accomplishments, these essays span the field of Number Theory, Analysis and Geometry.-Preface.-Introduction (Tate).-Publications by Serge Lang.-Raynaud's Group-Scheme and Reduction of Converings (Abramovich).-The Modular Degree, Congruence Primes, and Multiplicity One (Agashe, Ribet, Stein).-Le th?or?me de Siegel-Shidlovsky revist? (Bertrand).-Some Aspects of Harmonic Analysis on So3(Z[i])\So3(C)/SO(3), and SO(2,1)z\SO(2,1)/SO(2) (Brenner, Sinton).-Differential Characters on Curves (Buium).-Weyl Group Multpile Dirichlet Series of Type A_2 (Chinta, Gunnels).-Remarks on the Geometry of the Diffeomorphism Group of the Circle (Constantin, Kolev).-Harmonic Representativeló+