Alex Eskin, Andrei Okounkov (auth.), Victor Ginzburg (eds.)0817644717, 9780817644710, 9780817645328
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.
Table of contents :
Front Matter….Pages i-xviii
Pillowcases and quasimodular forms….Pages 1-25
Cluster χ -varieties, amalgamation, and Poisson—Lie groups….Pages 27-68
Local geometric Langlands correspondence and affine Kac-Moody algebras….Pages 69-260
Integration in valued fields….Pages 261-405
On the Euler-Kronecker constants of global fields and primes with small norms….Pages 407-451
Asymptotic behaviour of the Euler-Kronecker constant….Pages 453-458
Crystalline representations and F -crystals….Pages 459-496
Integrable linear equations and the Riemann-Schottky problem….Pages 497-514
Fibres de Springer et jacobiennes compactifiées….Pages 515-563
Iterated integrals of modular forms and noncommutative modular symbols….Pages 565-597
Structures membranaires….Pages 599-643
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