6 citations · 10 across the 6 of their papers we have counts for
6 papers
Cycles for Rankin-Selberg -functions, I: automorphic periods
Atsushi Ichino, Kartik Prasanna
In this paper, we establish an explicit formula for automorphic periods which will be used in a sequel to study special values of -adic Rankin-Selberg -functions. Our motivat…
Representations of over and supercongruences for hypergeometric polynomials
Atsushi Ichino, Kartik Prasanna
For an odd prime , we realize the trivial representation of on the free -module of rank one as a subquotient…
Motivic action for Siegel modular forms
Aleksander Horawa, Kartik Prasanna
We study the coherent cohomology of automorphic sheaves corresponding to Siegel modular forms of low weight on Shimura varieties. Inspired by the work of Prasann…
Hodge classes and the Jacquet-Langlands correspondence
Atsushi Ichino, Kartik Prasanna
We prove that the Jacquet-Langlands correspondence for cohomological automorphic forms on quaternionic Shimura varieties is realized by a Hodge class. Conditional on Kottwitz's con…
Periods of quaternionic Shimura varieties. I
Atsushi Ichino, Kartik Prasanna
We study "quadratic periods" on quaternionic Shimura varieties and formulate an integral refinement of Shimura's conjecture regarding Petersson inner products of automorphic forms…
Automorphic cohomology, motivic cohomology, and the adjoint -function
Kartik Prasanna, Akshay Venkatesh
We propose a relationship between the cohomology of arithmetic groups, and the motivic cohomology of certain (Langlands-)attached motives. The motivic cohomology group in question…