University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Symmetric differentials and the fundamental group

Symmetric differentials and the fundamental group

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  • UserBruno Klingler (Paris)
  • ClockMonday 14 November 2011, 15:00-16:00
  • HouseMR13, CMS.

If you have a question about this talk, please contact Burt Totaro.

Classical Hodge theory says that the sheaves of exterior differentials control the usual Betti cohomology of a smooth complex projective variety X. Is there a similar relation between the sheaves of symmetric differentials and the topology of X? In this talk I will explain how symmetric differentials control finite dimensional representations of the topological fundamental group of X. Using automorphic forms this leads to new striking rigidity properties for fundamental groups of certain ball quotients.

This talk is part of the Algebraic Geometry Seminar series.

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