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On the spectral side of Arthur's trace formula --- combinatorial setup

On the spectral side of Arthur's trace formula --- combinatorial setup

In Arthur's trace formula, a ubiquitous role is played by certain limiting expressions arising from piecewise smooth functions with respect to projections of the Coxeter fan ((G, M )-families).These include terms resulting from intertwining operators on the spectral side and volumes of polytopes on the geometric side.We introduce the combinatorial …