Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program | |

Topic: | Functoriality and algebraic cycles |

Speaker: | Kartik Prasanna |

Affiliation: | University of Michigan |

Date: | Monday, November 6 |

Time/Room: | 10:00am - 11:00am/S-101 |

Video Link: | https://video.ias.edu/MotivesGaloisRepsandCohomology/2017/1106-KartikPrasanna |

Abstract: I will discuss the following question: is Langlands functoriality given by algebraic cycles? After a survey of some examples of interest, the talk will focus mostly on one case, namely that of inner forms GL(2) over a totally real field. In this case, we can show that functoriality is given by something close to an absolute Hodge cycle; moreover, there is some hope of doing even better. (Joint work with Atsushi Ichino.)