Yu Min - 15h30 - Derived Galois deformation ring

Abstract:Mazur's Galois deformation theory plays an essential role in modularity lifting questions. Recently, Galatius and Venkatesh has constructed a derived version of Galois deformation ring. They have shown that under some standard conjectures, the homotopy algebra of this derived Galois deformation ring has a natural action on the homology of arithmetic groups. In this talk, we will give a short introduction to their work with some motivations explained.