Number Theory

Title: On mod p local-global compatibility for GL_3 in the ordinary case
Speaker: Stefano Morra
Speaker Info: Toronto
Brief Description:
Special Note:

Let \rho : G_{\Q_p} \rightarrow GL_3(F_p) be a maximally nonsplit, ordinary Galois representation. If \rho is Fontaine-Laffaille and sufficiently generic, the \phi-action on the associated Fontaine-Laffaille module lets us detect a local Galois invariant. On the other hand, let \pi be a smooth GL_3(\Q_p)-representation over F_p. If \pi verifies appropriate conditions with respect to its pro-p Iwahori invariants, the action of carefully chosen group algebra operators lets us detect a local automorphic invariant. The talk is aimed at showing that, in a global situation and under appropriate modularity conditions, the two invariants coincide.

This is joint work with Florian Herzig at Toronto.

Date: Monday, April 14, 2014
Time: 4:00PM
Where: Lunt 107
Contact Person: Simon Marshall
Contact email: slm@math.northwestern.edu
Contact Phone: 847-467-0715
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