`On local symplectic periods on general and unitary groups'

by Dr Arnab Mitra (Technion-Israel Institute of Technology, Israel)

Monday 16 Oct 2017, 16:00 → 17:00 Asia/Kolkata

AG-77 (TIFR, Mumbai)

Abstract: Let E/F be a quadratic separable extension of non-archimedean local fields. The group Sp(2n,F) sits inside both GL(2n,F) and U(2n,F) (the quasi-split unitary group with respect to the extension E/F) as a closed subgroup. This talk is about Sp(2n,F)-distinguished representations of the aforementioned groups. I will begin by motivating the question of classifying distinguished representations for general symmetric spaces after which we will look into some specific classification results for Sp(2n,F)-distinguished representations of these two groups.