# Decomposing symmetric powers

 Beyond Endoscopy Topic: Decomposing symmetric powers Speaker: Bill Casselman Affiliation: University of British Columbia Date: Friday, September 30 Time/Room: 2:00pm - 2:50pm/S-101 Video Link: https://video.ias.edu/beyondendoscopy/2016/0930-BillCasselman

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.