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International Mathematics Research Notices Advance Access originally published online on June 13, 2009
International Mathematics Research Notices (2009) 2009:4159-4167, doi:10.1093/imrn/rnp082 published on October 27, 2009
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© The Author 2009. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Rigidity, Locally Symmetric Varieties, and the Grothendieck–Katz Conjecture

Benson Farb and Mark Kisin

Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, IL 60637, USA

Correspondence: Correspondence to be sent to: farb{at}math.uchicago.edu

Using Margulis's results on lattices in semisimple Lie groups, we prove the Grothendieck–Katz p-curvature conjecture for many locally symmetric varieties, including Hilbert–Blumenthal modular varieties and the moduli space of abelian varieties Formula when g > 1.


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