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Ordered algebraic structures --- Drinfeld modules. --- Modules (Algebra) --- Quantum groups. --- Modules (Algebra).

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Algebraic geometry --- Drinfeld modules. --- Deformations (Mechanics) --- Surfaces, Algebraic. --- Modules de Drinfeld --- Déformations (Mécanique) --- Surfaces algebriques --- 51 <082.1> --- Mathematics--Series --- Déformations (Mécanique) --- Drinfeld, Modules de. --- Déformations (mécanique) --- Surfaces algébriques. --- Drinfeld modules --- Surfaces, Algebraic --- Algebraic surfaces --- Geometry, Algebraic --- Modules (Algebra) --- Elastic solids --- Mechanics --- Rheology --- Strains and stresses --- Structural failures

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The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers.

Differential geometry. Global analysis --- Vector bundles --- Drinfeld modules --- Mathematical Theory --- Geometry --- Mathematics --- Physical Sciences & Mathematics --- Drinfeld modullen --- Faisceaux de vecteurs --- Modules de Drinfeld --- Vecteurs [Faisceaux de ] --- Vectorenbundels --- Algebraic geometry. --- Number theory. --- Algebraic Geometry. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra --- Algebraic geometry --- Vector bundles. --- Drinfeld modules. --- Modules (Algebra) --- Fiber spaces (Mathematics)

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No detailed description available for "The Arithmetic of Function Fields".

Drinfeld modules --- -Algebraic fields --- -Algebraic number fields --- -511.6 Algebraic number fields --- Algebraic fields --- 511.6 --- 511.6 Algebraic number fields --- Algebraic number fields --- Modules (Algebra) --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra) --- Congresses --- Congresses.

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Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author’s original work establishing the correspondence between ell-adic rank r Galois representations and automorphic representations of GL(r) over a function field, in the local case, and, in the global case, under a restriction at a single place. It develops Drinfeld’s theory of elliptic modules, their moduli schemes and covering schemes, the simple trace formula, the fixed point formula, as well as the congruence relations and a "simple" converse theorem, not yet published anywhere. This version, based on a recent course taught by the author at The Ohio State University, is updated with references to research that has extended and developed the original work. The use of the theory of elliptic modules in the present work makes it accessible to graduate students, and it will serve as a valuable resource to facilitate an entrance to this fascinating area of mathematics.

Algebraic fields. --- Curves, Elliptic. --- Forms, Modular. --- Elliptic functions --- Forms, Modular --- Curves, Algebraic --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Calculus --- Drinfeld modules. --- Automorphic forms. --- Elliptic functions. --- Elliptic integrals --- Functions, Elliptic --- Integrals, Elliptic --- Mathematics. --- Algebra. --- Category theory (Mathematics). --- Homological algebra. --- Topological groups. --- Lie groups. --- Number theory. --- Number Theory. --- Topological Groups, Lie Groups. --- Category Theory, Homological Algebra. --- Transcendental functions --- Functions of complex variables --- Integrals, Hyperelliptic --- Automorphic functions --- Forms (Mathematics) --- Modules (Algebra) --- Topological Groups. --- Mathematical analysis --- Groups, Topological --- Continuous groups --- Number study --- Numbers, Theory of --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Homological algebra --- Algebra, Abstract --- Homology theory --- Curves, Algebraic.