[Seminar] Diamond diagrams and multivariable (phi,gamma)-modules
2026.08.18- Date
- 2026-08-20 (15:00 ~ 16:00)
- Location
- 108-320
Title: Diamond diagrams and multivariable (phi,gamma)-modules.
Date: 8/20 15:00~16:00
Venue: 108-320
Speaker: Yitong Wang (University of Toronto)
Abstract: Let K be a finite unramified extension of Qp. Let pi be an admissible smooth mod p representation of GL2(K) occurring in a Hecke eigenspace of the mod p cohomology of a Shimura curve, and let r be its underlying global 2-dimensional Galois representation. When r is sufficiently generic, we prove that the associated multivariable (phi,gamma)-module D_A(pi) defined by Breuil-Herzig-Hu-Morra-Schraen is completely determined by the restriction of r to the decomposition group at p. The description is explicit and involves the constants in the diamond diagram associated with pi.
