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SUMMARY:Sub-Weyl bound for $GL(2)$ $L$-functions [MPIM]
DTSTART:20250319T133000Z
DTEND:20250319T143000Z
DTSTAMP:20260416T085400Z
UID:indico-event-275@math-events.uni-bonn.de
DESCRIPTION:Speakers: Prahlad Sharma (MPIM)\n\nNumber Theory Lunch Seminar
 \nWe begin by briefly introducing the subconvexity problem for $L$-functio
 ns and the delta method\, which has proven to be a powerful line of attack
  in this context. As an application\, for a $SL(2\,\\mathbb{Z})$ form $f$\
 , we obtain the sub-Weyl bound:$$L(1/2+it\,f)\\ll_{f\,\\varepsilon} t^{1/3
 -\\delta+\\varepsilon}$$ for some explicit $\\delta>0$\, thereby crossing 
 the Weyl barrier for the first time beyond $GL(1)$. The proof uses a refin
 ement of the 'trivial' delta method.\n \n\nhttps://math-events.uni-bonn.d
 e/event/275/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/275/
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