Revistes Catalanes amb Accés Obert (RACO)

Counting colorings on varieties

F. Rodríguez-Villegas

Resum


We present a combinatorial mechanism for counting certain objects associated to a variety over a finite field. The basic example is that of counting conjugacy classes of the general linear group. We discuss how the method applies to counting these and also to counting unipotent matrices and pairs of commuting matrices.

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