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INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (IISER) PUNE
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An Autonomous Institution, Ministry of Human Resource Development, Govt. of India
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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).

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