This talk is based on my thesis supervised by P.-H. Chaudouard. The conjecture of Guo-Jacquet is a promising generalisation to higher dimensions of Waldspurger’s well-known theorem on the relation between toric periods and central values of automorphic L-functions for GL(2). However, we are faced with divergent integrals when applying the relative trace formula approach. In this talk, we study an infinitesimal variant of this problem. Concretely, we explain global and local trace formulae for infinitesimal symmetric spaces of Guo-Jacquet. To compare regular semi-simple terms, we present the weighted fundamental lemma and certain identities between Fourier transforms of local weighted orbital integrals.
An infinitesimal variant of Guo-Jacquet trace formulae and its comparison
27.10.2020 13:15 - 14:45
Organiser:
H. Grobner, A. Minguez-Espallargas, A. Mellit
Location:
Meeting ID: 431 655 310, Passcode: 0cnL5d