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Sebastian Eterović: Categoricity of Shimura Varieties

Tid: On 2018-12-05 kl 10.00 - 11.00

Plats: Room F11, KTH

Medverkande: Sebastian Eterović (Oxford)

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Abstract: I will show how a conjecture of Pink on Galois representations attached to points in Shimura varieties can be equivalently stated in model-theoretic terms as the question of categoricity. Most of the arguments can be expressed in geometric terms, and I will explain the model-theoretic background that is needed. This equivalence shows that the openness of Galois representations is intimately related to the structure of special subvarieties in the Shimura variety.