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SUMMARY:Chandrasekhar Raju (École Polytechnique Fédérale Laussane)
DTSTART:20200508T123000Z
DTEND:20200508T133000Z
DTSTAMP:20260404T145132Z
UID:CMI/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/CMI/2
 /">Connections between the circle method\, trace formula and bounds for th
 e subconvexity problem.</a>\nby Chandrasekhar Raju (École Polytechnique F
 édérale Laussane) as part of CMI seminar series\n\n\nAbstract\nAfter int
 roducing the sub-convexity problem for L-functions in a general context\, 
 we will focus our attention to the particular case of Rankin-Selberg L-fun
 ctions. We will briefly trace the history of this particular problem start
 ing from Kowalski\, Michel\, and Vanderkam\, with a lot of authors in betw
 een upto the seminal work of Michel\, Venkatesh. I will then try to explai
 n how the circle method enters this question by sketching an argument of M
 unshi for what is perhaps the simplest case i.e character twists of GL(2) 
 L-functions. I will end the talk by explaining how we can solve the Subcon
 vexity problem for Rankin-Selberg L-functions in the combined level aspect
  by a very easy version of the circle method and see how this approach is 
 connected to earlier work on the same problem.\n
LOCATION:https://stable.researchseminars.org/talk/CMI/2/
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