Decomposing symmetric powers

Decomposing symmetric powers - Bill Casselman

Bill Casselman
University of British Columbia
September 30, 2016
One problem raised recently by Langlands in connection with the trace formula was the decomposition of symmetric powers of irreducible representations of $\mathrm{GL}(2)$. There is a classical formula for this. I shall explain a new version of this formula and, with luck, describe computer experiments examining the extent to which the idea will work for other groups.