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SUMMARY:Trajan Hammonds (Aarhus University)
DTSTART:20260218T160000Z
DTEND:20260218T170000Z
DTSTAMP:20260528T081331Z
UID:LNTS/184
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/184/">R
 elative Character Asymptotics Beyond Stability for $\\PGL_2 \\times \\GL_1
 $</a>\nby Trajan Hammonds (Aarhus University) as part of London number the
 ory seminar\n\nLecture held in Room 505\, UCL Maths building\, 25 Gordon S
 treet.\n\nAbstract\nThe asymptotics of relative characters for real Lie gr
 oups were studied for representations $(\\pi\, \\sigma)$ arising from Gan-
 Gross-Prasad pairs $(G\,H)$ by Nelson and Venkatesh. They successfully com
 pute the asymptotics of relative characters whenever the conductor of the 
 associated Rankin-Selberg $L$-function $L(\\pi \\boxtimes \\sigma^\\vee)$ 
 lies in a stable locus\, i.e. away from conductor dropping. In this talk\,
  we will show asymptotics for relative characters in the non-archimedean s
 etting for $(\\PGL_2\, \\GL_1)$. The key new innovation is that our method
  overcomes the stability hypothesis and allows for significant conductor d
 ropping.\n
LOCATION:https://researchseminars.org/talk/LNTS/184/
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