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.