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CHARACTER STACKS ARE PORC COUNT

چکیده

Abstract We compute the number of points over finite fields character stack associated to a compact surface group and reductive with connected centre. find that answer is polynomial on residue classes (PORC). The key ingredients in proof are Lusztig’s Jordan decomposition complex characters groups Deriziotis’s results their genus numbers. As consequence our main theorem, we obtain an expression for E -polynomial stack.

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