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SUMMARY:Chandrasekhar Raju (École Polytechnique Fédérale Laussane)
DTSTART:20200508T123000Z
DTEND:20200508T133000Z
DTSTAMP:20260513T213257Z
UID:CMI/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CMI/2/">Conn
 ections between the circle method\, trace formula and bounds for the subco
 nvexity problem.</a>\nby Chandrasekhar Raju (École Polytechnique Fédéra
 le Laussane) as part of CMI seminar series\n\n\nAbstract\nAfter introducin
 g the sub-convexity problem for L-functions in a general context\, we will
  focus our attention to the particular case of Rankin-Selberg L-functions.
  We will briefly trace the history of this particular problem starting fro
 m Kowalski\, Michel\, and Vanderkam\, with a lot of authors in between upt
 o the seminal work of Michel\, Venkatesh. I will then try to explain how t
 he circle method enters this question by sketching an argument of Munshi f
 or what is perhaps the simplest case i.e character twists of GL(2) L-funct
 ions. I will end the talk by explaining how we can solve the Subconvexity 
 problem for Rankin-Selberg L-functions in the combined level aspect by a v
 ery easy version of the circle method and see how this approach is connect
 ed to earlier work on the same problem.\n
LOCATION:https://researchseminars.org/talk/CMI/2/
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