Derived deformation rings allowing congruences

Y Cai - 2022 - hal.science
We generalize a result of Galatius and Venkatesh ([GV18, Theorem 14.1]) which relates the
graded module of cohomology of locally symmetric spaces to the graded homotopy ring of …

Simplicial Galois Deformation Functors

Y Cai, J Tilouine - Perfectoid Spaces, 2022 - Springer
In, the authors showed the importance of studying simplicial generalizations of Galois
deformation functors. They established a precise link between the simplicial universal …

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

Y Cai - arXiv preprint arXiv:2108.13135, 2021 - arxiv.org
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 …

Derived deformation rings and cohomology of locally symmetric spaces

Y Cai - 2021 - theses.hal.science
We study derived Galois deformation functors and their derived deformation rings inrelation
with the cohomology of locally symmetric spaces and derived Galois …