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.