Thursday, April 19, 2018
4:00 pm
Building 15, Room 104

Number Theory Seminar

Breuil-Mezard cycles
Brandon Levin, Department of Mathematics, University of Arizona
The Breuil-Mezard conjecture predicts the geometry of special fibers of local Galois deformations with p-adic Hodge theory condition in terms of modular representation theory. When K = Qp, the conjecture predicts the existence of a special cycles on the unrestricted local deformation ring associated to irreducible representations of GL_n(F_p). I will describe joint work in progress with Daniel Le, Bao V. Le Hung, and Stefano Morra where we construct these cycles in generic situations for arbitrary n and prove the conjecture for a certain class of potentially crystalline deformation rings.
Contact Mathematics Dept. mathinfo@caltech.edu at 626-395-4335
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