We define a derived version of Mazur's Galois deformation ring. It is a pro-simplicial ring R
classifying deformations of a fixed Galois representation to simplicial coefficient rings; its …

We prove new congruences between special values of Rankin-Selberg $ L $-functions for
$\mathrm {GL}(n+ 1)\times\mathrm {GL}(n) $ over arbitrary number fields. This allows us to …

Tujuan penelitian ini untuk menganalisis faktor faktor yang memengaruhi Behavior Intention
yaitu Performance Expectancy, Effort Expectancy, Social Influence, Facilitating Conditions …

Let $\Pi $ be a regular algebraic cuspidal automorphic representation of $\mathrm {GL} _3
(\mathbb {A} _ {\mathbb {Q}}) $. When $\Pi $ is $ p $-ordinary for the maximal standard …

We propose a coherent analogue of the non-archimedean case of Venkatesh's conjecture
on the cohomology of locally symmetric spaces for Shimura varieties coming from unitary …

We survey several recent examples of derived structures emerging in connection with the
Langlands correspondence. Cases studies include derived Galois deformation rings …

We prove under certain conditions (local-global compatibility and vanishing of modulo
cohomology), a generalization of a theorem of Galatius and Venkatesh. We consider the …

We study the adjoint Bloch–Kato Selmer groups attached to a classical point in the cuspidal
eigenvariety associated with GSp 2 g. Our strategy is based on the study of families of Galois …

Let $ F $ be a CM field and $\Pi $ a regular algebraic cuspidal cohomological representation
of $\mathbf {G}=\operatorname {PGL} _2/F $. A conjecture of Venkatesh describes the …

The study of overconvergent cohomology, initiated by Pollack and Stevens in the setting of
classical modular forms, has now been used to construct p-adic L-functions in a number of …