It is shown that the values of Harish-Chandra distribution characters on definable compact subsets of the set of topologically unipotent elements of symplectic or special orthogonal p-adic groups can be expressed as the trace of Frobenius action on virtual Chow motives. The result is restricted to a class of depth-zero representations that can be obtained by inflation from Deligne-Lusztig representations. The proof relies on arithmetic motivic integration.
On character values of $GL_n(\mathbb F_q)$
Character values at elements of order 2
The Divisibility of $\mathrm{GL}(n, q)$ Character Values
![QR code for arXiv:math/0403529 [math.RT]](http://oss.arxitics.com/images/favicon.svg)