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Heike Harenbrock

Mittagsseminar zur Arithmetik: Zhixiang Wu (Münster): Geometric translation of (phi, Gamma)-modules for GL2(Qp)

Tuesday, 09.04.2024 10:15 im Raum SRZ 216/217

Mathematik und Informatik

Translation functors change infinitesimal characters of representations of Lie algebras. On the other hand, the infinitesimal characters of automorphic forms are related to Hodge-Tate weights of the associated p-adic Galois representations. In this talk, we consider translations of locally analytic representations from the point of view of the categorical p-adic local Langlands correspondence. I will introduce certain maps between loci of the stack of (phi, Gamma)-modules over the Robba ring with different integral Hodge-Tate-Sen weights. We show that in the GL2(Qp) case, these maps can realize translations of (phi, Gamma)-modules geometrically.



Angelegt am 08.04.2024 von Heike Harenbrock
Geändert am 08.04.2024 von Heike Harenbrock
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