This book represents a collection of invited papers by outstanding mathematicians in algebra, algebraic geometry, and number theory dedicated to Vladimir Drinfeld. Original research articles reflect the range of Drinfeld's work, and his profound contributions to the Langlands program, quantum groups, and mathematical physics are paid particular attention. Drinfeld, one of the most creative mathematicians of our times, received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups. These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory.

Klappentext

One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups.

These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory.

Contributors: A. Eskin, V.V. Fock, E. Frenkel, D. Gaitsgory, V. Ginzburg, A.B. Goncharov, E. Hrushovski, Y. Ihara, D. Kazhdan, M. Kisin, I. Krichever, G. Laumon, Yu.I. Manin, A. Okounkov, V. Schechtman, and M.A. Tsfasman.

Inhalt
Pillowcases and quasimodular forms.- Cluster ?-varieties, amalgamation, and PoissonLie groups.- Local geometric Langlands correspondence and affine Kac-Moody algebras.- Integration in valued fields.- On the Euler-Kronecker constants of global fields and primes with small norms.- Asymptotic behaviour of the Euler-Kronecker constant.- Crystalline representations and F-crystals.- Integrable linear equations and the Riemann-Schottky problem.- Fibres de Springer et jacobiennes compactifiées.- Iterated integrals of modular forms and noncommutative modular symbols.- Structures membranaires.