Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems

Jochen Heinloth — 2004

Annales de l'Institut Fourier

The aim of these notes is to generalize Laumon’s construction [20] of automorphic sheaves corresponding to local systems on a smooth, projective curve C to the case of local systems with indecomposable unipotent ramification at a finite set of points. To this end we need an extension of the notion of parabolic structure on vector bundles to coherent sheaves. Once we have defined this, a lot of arguments from the article “ On the geometric Langlands conjecture” by Frenkel, Gaitsgory and Vilonen [11]...

On the motives of moduli of chains and Higgs bundles

Oscar García-PradaJochen HeinlothAlexander Schmitt — 2014

Journal of the European Mathematical Society

We take another approach to Hitchin’s strategy of computing the cohomology of moduli spaces of Higgs bundles by localization with respect to the circle action. Our computation is done in the dimensional completion of the Grothendieck ring of varieties and starts by describing the classes of moduli stacks of chains rather than their coarse moduli spaces. As an application we show that the n -torsion of the Jacobian acts trivially on the middle dimensional cohomology of the moduli space of twisted...

Page 1

Download Results (CSV)