English

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

Number Theory 2021-08-31 v1

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.

Keywords

Cite

@article{arxiv.2108.13135,
  title  = {Derived deformation rings allowing congruences]{Derived deformation rings allowing congruences},
  author = {Yichang Cai},
  journal= {arXiv preprint arXiv:2108.13135},
  year   = {2021}
}