Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eisenstein cohomology classes for $\mathrm{GL}_N$ over imaginary
  quadratic fields   We study the arithmetic of degree $N-1$ Eisenstein cohomology classes for
locally symmetric spaces associated to $\mathrm{GL}_N$ over an imaginary
quadratic field $k$. Under natural conditions we evaluate these classes on
$(N-1)$-cycles associated to degree $N$ extensions $F/k$ as linear combinations
of generalised Dedekind sums. As a consequence we prove a remarkable conjecture
of Sczech and Colmez expressing critical values of $L$-functions attached to
Hecke characters of $F$ as polynomials in Kronecker--Eisenstein series
evaluated at torsion points on elliptic curves with multiplication by $k$. We
recover in particular the algebraicity of these critical values.

24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph