3 papers
math.NT2026
On the residual Eisenstein cohomology of unitary groups
Harald Grobner
We investigate the residual Eisenstein cohomology of an arbitrary unitary group attached to an arbitrary quadratic extension of number fields . Our focus lies on the co…
math.NT2021
On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations
Harald Grobner, Sonja Žunar
In this paper we describe several new aspects of the foundations of the representation theory of the space of smooth-automorphic forms (i.e., not necessarily -finite auto…
math.NT2018
Deligne's conjecture for automorphic motives over CM-fields
Harald Grobner, Michael Harris, Jie Lin
The present paper is devoted to the relations between Deligne's conjecture on critical values of motivic -functions and the multiplicative relations between periods of arithmeti…