Moduli spaces of principal F-bundles

Details Moduli spaces of principal F-bundles Moduli spaces of principal F-bundles

2002-05-13

arxiv.org/abs/math/0205130v2

Sel. Math., New ser. 10 (2004) 131-166

Mathematics

Algebraic Geometry

37 pages, revised version

Scientific paper

In this paper we construct certain moduli spaces, which we call moduli spaces of (principal) $F$-bundles, and study their basic properties. These spaces are associated to triples consisting of a smooth projective geometrically connected curve over a finite field, a split reductive group $G$, and an irreducible algebraic representation $\ov{\om}$ of $(\check{G})^n/Z(\check{G})$. Our spaces generalize moduli spaces of $F$-sheaves, studied by Drinfeld and Lafforgue, which correspond to the case $G=GL_r$ and $\ov{\om}$ is the tensor product of the standard representation and its dual. The importance of the moduli spaces of $F$-bundles is due to the belief that Langlands correspondence should be realized in their cohomology.

Affiliated with

Also associated with

No associations

Rating

Moduli spaces of principal F-bundles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Moduli spaces of principal F-bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moduli spaces of principal F-bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-422980