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Algebraic Geometry and Number Theory: In Honor of Vladimir Drinfeld's 50th Birthday by Ginzburg, Victor |
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Brief Description Dedicated to Vladimir Drinfeld, this volume includes articles by mathematicians in algebra, algebraic geometry, and number theory. It reflects the range of Drinfeld's work in these areas, especially his contributions to the Langlands program and mathematical physics. |
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Synopsis 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. |
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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 compactifiees.- Yu.I. Manin: Iterated integrals of modular forms and noncommutative modular symbols.- V. Schechtman: Structures membranaires. |
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