skip to main content

Algebra and Geometry Seminar

Friday, February 2, 2018
4:00pm to 5:00pm
Add to Cal
Building 15, Room 131
Constancy of generalized Hodge-Tate weights of a p-adic local system
Koji Shimizu, Department of Mathematics, Harvard University,

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.

For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].