Algebra and Geometry Seminar

Sen attached to each p-adic Galois representation of a p-adic field a multiset of numbers called generalized Hodge-Tate weights. In this talk, we regard a p-adic local system on a rigid analytic variety as a geometric family of Galois representations and show that the multiset of generalized Hodge-Tate weights of the local system is constant. The proof uses a geometric p-adic Riemann-Hilbert correspondence by R. Liu and X. Zhu and the theory of formal integrable connections.