Automorphisms of Character Surfaces and Frobenius Actions on Crystals

par Vasily Golyshev (IHES)

lundi 14 avr. 2025, 15:00 → 16:30 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Running Seminar

The analogues of mapping tori in arithmetic are curves over finite fields; flat connections on 3-manifolds are similar to unramified Galois representations. In order to find flat connections on a mapping torus defined by a diffeomorphism F we used the automorphism of the character surface induced by F. I will state a counterpart of this problem (finding Galois representations explicitly) in the world of p-adic differential equations, and will try to explain how to turn it into an effective computation following some ideas of F. Beukers.

 

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