AuthorFlicker, Yuval Z. author
TitleDrinfeld Moduli Schemes and Automorphic Forms [electronic resource] : The Theory of Elliptic Modules with Applications / by Yuval Z. Flicker
ImprintNew York, NY : Springer New York : Imprint: Springer, 2013
Connect tohttp://dx.doi.org/10.1007/978-1-4614-5888-3
Descript V, 150 p. 5 illus. online resource

SUMMARY

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,ย 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"ย converse theorem, not yet published anywhere. This version, based on a recent course taught by the author at Theย 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 anย entrance to this fascinating area of mathematics


CONTENT

Elliptic Moduli -- Hecke Correspondences -- Trace Formulae -- Higher Recipropcity Laws.ย 


SUBJECT

  1. Mathematics
  2. Algebra
  3. Topological Groups
  4. Number theory
  5. Mathematics
  6. Number Theory
  7. Topological Groups
  8. Lie Groups
  9. Category Theory
  10. Homological Algebra
  11. Algebra