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SUMMARY:Raphael Steiner (ETH Zurich)
DTSTART:20220422T103000Z
DTEND:20220422T113000Z
DTSTAMP:20260423T024016Z
UID:ntsea/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ntsea/10/">S
 up-norms and fourth moment of automorphic forms</a>\nby Raphael Steiner (E
 TH Zurich) as part of Number theory by the sea\n\n\nAbstract\nThe study of
  sup-norms of eigenfunctions of the Laplacian is a classical problem in ha
 rmonic analysis. In an arithmetic setting\, they find further applications
  to L-functions and geometric questions of the underlying spaces\, such as
  Diophantine approximation and diameters. We discuss how they have been st
 udied in the past and how a new approach allows one to study a higher (fou
 rth) moment. In joint work with Ilya Khayutin and Paul Nelson\, we focus o
 n the volume aspect and improve upon prior work by Templier\, Harcos-Templ
 ier\, Blomer-Michel\, Toma.\n
LOCATION:https://researchseminars.org/talk/ntsea/10/
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