Articles written in Proceedings – Mathematical Sciences
Volume 110 Issue 1 February 2000 pp 1-26
The mixed Hodge structure on the low degree cohomology of the moduli space of vector bundles on a curve is studied. Analysis of the third cohomology yields a new proof of a Torelli theorem.
Volume 118 Issue 3 August 2008 pp 389-411
We define relative motives in the sense of André. After associating a complex in the derived category of motives to an algebraic stack we study this complex in the case of the moduli of 𝐺-bundles varying over the moduli of curves.