Synopses & Reviews
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.
Synopsis
This volume of invited articles by several outstanding mathematicians in algebra, algebraic geometry, and number theory is dedicated to Vladimir Drinfeld on the occasion of his 50th birthday. These surveys and original research articles broadly reflect the range of Drinfeld's work in these areas, especially his profound contributions to the Langlands program and mathematical physics. Contributors include: V.V. Fock, E. Frenkel, D. Gaitsgory, A.B. Goncharov, E. Hrushovski, Y. Ihara, D. Kazhdan, M. Kisin, I. Krichever, G. Laumon, Yu. Manin, and V. Schechtmann.
Synopsis
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. 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.
Synopsis
Thisbook 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. 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.
Table of Contents
Preface V. Ginzburg: A Glimpse into the Life and Work of V. Drinfeld A. Eskin and A. Okounkov: Pillowcases and quasimodular forms V. V. Fock and A.B. Goncharov: Cluster X-varieties, amalgamation and Poisson-Lie groups E. Frenkel and D. Gaitsgory: Local geometric Langlands correspondence and affine Kac-Moody algebras E. Hrushovski and D. Kazhdan: Integration in valued fields Y. Ihara: On the Euler-Kronecker constants of global fields and primes with small norm M.A. Tsfasman: Asymptotic behaviour of the Euler-Kronecker constant M. Kisin: Crystalline representations and F-crystals I. Krichever: Integrable linear equations and the Riemann-Schottky problem G. Laumon: Fibres de Springer et jacobiennes compactifiées Yu.I. Manin: Iterated integrals of modular forms and noncommutative modular symbols V. Schechtman: Structures membranaires