Algebra and Topology Seminar

1pm Tuesday 14 January 2002
Theatre 4 Manning Clark Centre

Mark Kisin
University of Muenster

Grothendieck's p-curvature Conjecture and Generic curves

Let X be a complex curve, and let r be a finite dimensional complex representation of its fundamental group. Grothendieck's conjecture gives an arithmetic criterion which predicts when the image of r is finite.

I will explain this conjecture, give some simple examples, and present some joint work with Matthew Emerton which gives an approach to the conjecture when X is sufficiently generic.




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