## Duke Mathematical Journal

Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. DMJ emphasizes the most active and influential areas of current mathematics.

Diffraction pour l'équation de la chaleurVolume 73, Number 3 (1994)
Equivariant $K$ -theory of affine flag manifolds and affine Grothendieck polynomialsVolume 148, Number 3 (2009)
Global wellposedness of KdV in $H^{-1}({\mathbb T},{\mathbb R})$Volume 135, Number 2 (2006)
Localization for linearly edge reinforced random walksVolume 163, Number 5 (2014)
Quasisplit Hecke algebras and symmetric spacesVolume 163, Number 5 (2014)
• ISSN: 0012-7094 (print), 1547-7398 (electronic)
• Publisher: Duke University Press
• Discipline(s): Mathematics
• Full text available in Euclid: 1935 --
• Access: By subscription only
• Euclid URL: http://projecteuclid.org/dmj

### Featured article

#### Symmetric differentials and the fundamental group

Volume 162, Number 14
##### Abstract

We show that any smooth complex projective variety whose fundamental group has a complex representation with infinite image must have a nonzero symmetric differential (a section of a symmetric power of the cotangent bundle). Along the way, we produce many symmetric differentials on the base of a variation of Hodge structures.