Representations of Galois Groups Associated to Modular Forms

Richard Taylor
Additional contact information
Richard Taylor: Cambridge University, Department of Pure Mathematics and Mathematical Statistics

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 435-442 from Springer

Abstract: Abstract We will describe in a special case the conjectural relationship among automorphic forms, l-adic representations, and motives. To make the discussion concrete, we shall restrict ourselves to weight 2 modular forms for GL2. In this case the modular forms can be thought of either as certain harmonic forms on products of the upper half complex planes and hyperbolic three spaces or as cohomology classes for certain quotients of these products. As such, they are relatively concrete and often computable topological objects. Similarly, we shall restrict attention to irreducible two-dimensional l-adic representations that are de Rham with Hodge-Tate numbers 0 and -1, and to certain abelian varieties.

Date: 1995
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_36

Ordering information: This item can be ordered from
http://www.springer.com/9783034890786

DOI: 10.1007/978-3-0348-9078-6_36

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().