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SUMMARY:Guy Henniart (Université Paris-Saclay\, Orsay)
DTSTART:20201217T123000Z
DTEND:20201217T133000Z
DTSTAMP:20260416T043801Z
UID:NTRV/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTRV/7/">On 
 stability for exterior and symmetric square for ${\\rm GL}(n)$</a>\nby Guy
  Henniart (Université Paris-Saclay\, Orsay) as part of Number Theory and 
 Representations in Valparaiso\n\n\nAbstract\nIn local to global arguments\
 , it is very useful to know the behaviour of $L$ and epsilon factors under
  very ramified twists. For GL$(n\, F)$\, $F$ local non-archimedean\, Cogde
 ll\, Shahidi and Tsai proved that if one twists a given cuspidal represent
 ation $\\pi$ with a ramified enough character\, then the $L$ and epsilon f
 actors for the exterior and symmetric square acquire a simple shape. They 
 establish that ``stability" property\, mainly by a local\, intricate proof
 . We propose a global to local proof\, taking advantage of progress in the
  global Langlands correspondence for GL$(n)$ over number fields.\n
LOCATION:https://researchseminars.org/talk/NTRV/7/
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