Seminars and Colloquia
Mathematics
The prasad conjecture for PGSp(4)
Thu, Nov 02, 2017,
11:00 AM
at Madhava Hall
Dr. Hengfei Lu
TIFR Mumbai
Period Problem is one of the most popular interesting problems in recently years, such as the Gan-Gross-Prasad conjectures. In this talk, we mainly
focus on the local period problems, so called the relative local Langlands programs. Given a quadratic local field extension E/F and a quasi-split reductive
group G defined over F with associated quadratic character \\chi_G, let \\pi be a smooth representation of G(E). Assume the Langlands-Vogan conjecture,
Prasad gives a precise description for the dimension \\dim Hom_{G(F)}(\\pi,\\chi_G). We verify this conjecture if \\pi is a discrete series representation and
G=PGSp(4).
