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Ambrus Pal

Crystalline Chebotarev density theorems
Jeudi, 11 Janvier, 2018 - 10:30
Résumé : 

I will formulate a conjectural analogue of Chebotarev's density theorem for convergent F-isocrystals over a smooth geometrically irreducible curve defined over a finite field using the Tannakian formalism. I will talk about the proof of this analogue in several special classes, including all semi-simple convergent F-isocrystals which have a filtration by isoclinic F-isocrystals of pair-wise different slopes whose monodromy groups are reductive and abelian over a non-empty open subcurve. The methods used include the theory of reductive groups and p-adic analysis, but at some point also a little bit of Diophantine geometry, too. This is joint work with Urs Hartl.

Institution de l'orateur : 
Imperial College, London
Thème de recherche : 
Théorie des nombres
Salle : 
Salle 4
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