Joint IAS/Princeton University Number Theory Seminar | |

Topic: | The standard \(L\)-function for \(G_2\): a "new way" |

Speaker: | Nadya Gurevich |

Affiliation: | Ben-Gurion University of the Negev |

Date: | Thursday, October 2 |

Time/Room: | 4:30pm - 5:30pm/S-101 |

Video Link: | http://video.ias.edu/pints/2014/1002-NadyaGurevich |

We consider a Rankin-Selberg integral representation of a cuspidal (not necessarily generic) representation of the exceptional group \(G_2\). Although the integral unfolds with a non-unique model, it turns out to be Eulerian and represents the standard \(L\)-function of degree 7. We discuss a general approach to the integrals with non-unique models. The integral can be used to describe the representations of \(G_2\) for which the (twisted) \(L\)-function has a pole as functorial lifts. This is a joint work with Avner Segal.