Derived deformation rings allowing congruences]{Derived deformation rings allowing congruences

Abstract

We generalize a result of Galatius and Venkatesh which relates the graded module of cohomology of locally symmetric spaces to the graded homotopy ring of the derived Galois deformation rings, by removing certain assumptions, and in particular by allowing congruences inside the localized Hecke algebra.

References in corpus (7)

• Higher Topos Theory
• A Geometric Approach to Complete Reducibility
• Derived Galois deformation rings
• Developments on the congruence subgroup problem after the work of Bass, Milnor and Serre
• Minimal modularity lifting for GL2 over an arbitrary number field
• Automorphic cohomology, motivic cohomology, and the adjoint $L$-function
• On the cohomology of GL(N) and adjoint Selmer groups

Cited by in corpus (1)

• On local Galois deformation rings