{"date":"2015-04-15","starts":{"hour":15,"minute":0,"second":0,"second_of_day":54000},"ends":{"hour":16,"minute":30,"second":0,"second_of_day":59400},"room":"Math -101","speaker":"Avner Segal","from":"BGU","title":"A Family of New-way Integrals for the Standard L-function of Cuspidal Representations of the Exceptional Group of Type G2","abstract":"In a joint work with N. Gurevich we have constructed a family of Rankin-Selberg integrals representing the standard twisted L-function of a cuspidal representation of the exceptional group of type G2. This integral representations use a degenerate Eisenstein series on the family of quasi-split forms of Spin8 associated to an induction from a character on the Heisenberg parabolic subgroup. This integral representations are unusual in the sense that they unfold with a non-unique model. A priori this integral is not factorizable but using remarkable machinery proposed by I. Piatetski-Shapiro and S. Rallis we prove that in fact the integral does factor. As the local generating function of the local L-factor was unknown to us, we used the theory of C*-algebras in order to approximate it and perform the unramified computation. If time permits, I will discuss the poles of the relevant Eisenstein series and some applications to the theory of CAP representations of G2.","speaker_web":null,"announcement":null,"descfiles_signed_ids":"[]","online":false,"slug":"2015-04-15","shift":{"beginning":{"hour":15,"minute":0,"second":0,"second_of_day":54000},"ending":{"hour":16,"minute":30,"second":0,"second_of_day":59400},"exclude_end":false,"range":"[54000,59400]"},"announcement_i18n":{},"duration":"[2015-04-15 12:00:00 UTC,2015-04-15 13:30:00 UTC]","id":20,"created_at":"2015-10-05T14:33:00.971+03:00","updated_at":"2016-04-19T20:58:53.652+03:00","admin_users":[],"summary":"Avner Segal: A Family of New-way Integrals for the Standard L-function of Cuspidal Representations of the Exceptional Group of Type G2","full_speaker_text":"Avner Segal (*BGU*)","unusual":"time","unusual_place":false,"unusual_time":true,"unusual_day":false}