Algebraic Geometry and Number Theory: In Honor of Vladimir Drinfeld's 50th Birthday

ISBN-13: 9780817644710 / Angielski / Twarda / 2006 / 644 str.

Victor Ginzburg

Opis

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. The 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.

Spis treści

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

Blurb

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.