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Number Theory Seminar

Thursday, April 19, 2018
4:00pm to 5:00pm
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Building 15, Room 104
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.
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].