论文标题
角色堆栈是Porc Count
Character stacks are PORC count
论文作者
论文摘要
我们计算与紧凑的表面组相关的角色堆栈和与连接中心的还原组相关的角色堆栈的点数。我们发现答案是残留类别（PORC）的多项式。证明中的关键因素是卢斯蒂格（Lusztig）对复杂字符的约旦分解以及deriziotis对有限还原群的属数量的结果。由于我们的主要定理，我们获得了角色堆栈的$ e $多项式的表达式。
We compute the number of points over finite fields of the character stack associated to a compact surface group and a reductive group with connected centre. We find that the answer is a Polynomial On Residue Classes (PORC). The key ingredients in the proof are Lusztig's Jordan decomposition of complex characters and Deriziotis's results on genus numbers of finite reductive groups. As a consequence of our main theorem, we obtain an expression for the $E$-polynomial of the character stack.
