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SUMMARY:Rob Rockwood (Kings College London)
DTSTART:20231024T130000Z
DTEND:20231024T140000Z
DTSTAMP:20260421T154107Z
UID:UEAPS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/19/">F
 amilies of branching laws and their arithmetic applications</a>\nby Rob Ro
 ckwood (Kings College London) as part of ANTLR seminar\n\nLecture held in 
 EFRY 01.08.\n\nAbstract\nThe branching laws of certain special pairs of al
 gebraic groups $H \\to G$ are related to the $L$-functions of automorphic 
 representations via the theory of period integrals\, made concrete by the 
 conjectures of Gan--Gross--Prasad and Ichino--Ikeda. On the algebraic side
 \, one can use branching laws for highest weight representations to constr
 uct cohomological avatars of automorphic period integrals in the cohomolog
 y of Shimura varieties. These classes are related to $p$-adic $L$-function
 s and Euler systems\, both of which have applications to important arithme
 tic conjectures such as the Bloch--Kato conjectures. I will explain how on
 e constructs such avatars and will describe work of myself and Loeffler--Z
 erbes on varying these classes in $p$-adic families.\n
LOCATION:https://researchseminars.org/talk/UEAPS/19/
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