Author:
BRIDGER NICK,KAMGARPOUR MASOUD
Abstract
AbstractWe 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 of finite reductive groups and Deriziotis’s results on their genus numbers. As a consequence of our main theorem, we obtain an expression for theE-polynomial of the character stack.
Publisher
Cambridge University Press (CUP)
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