CRM: Centro De Giorgi
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New developments in the theory of modular forms over function fields

course: Counting in algebraic groups in positive characteristic

speaker: Gunther Cornelissen (Universiteit Utrecht)

abstract: Our starting point are the well-known formulae for the number of places of a given degree in a global function eld and for the order of groups of Lie type over nite elds. We consider these as results about the action of Frobenius on jacobians and on the additive group, and investigate what happens for general endomorphisms of general algebraic groups. New p-adic phenomena appear, zeta functions are no longer rational in general, and the analogue of the Prime Number Theorem can fail. (Joint work with Jakub Byszewski and Marc Houben.)

Mon 5 Nov, 11:00 - 12:00, Aula Dini
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