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UID:7300@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180605T140000
DTEND;TZID=Europe/Paris:20180605T150000
DTSTAMP:20241120T203904Z
URL:https://www.i2m.univ-amu.fr/evenements/transfer-operators-between-rela
 tive-trace-formulas-in-rank-one/
SUMMARY: (...): Transfer operators between relative trace formulas in rank 
 one
DESCRIPTION:: I will introduce a new paradigm for comparing relative trace 
 formulas\, in order to prove instances of (relative) functoriality and rel
 ations between periods of automorphic forms and L-functions.More precisely
 \, for a spherical variety $X=H\\backslash G$ of rank one\, I will prove t
 hat there is an explicit "transfer operator" which transforms the orbital 
 integrals of the relative trace formula for $X \\times X/G$ to the orbital
  integrals of the Kuznetsov formula for $GL(2)$ or $SL(2)$\, equipped with
  suitable non-standard test functions. The operator is determined by the L
 -value associated to the square of the H-period integral\, and the proof u
 ses a deep theory of Friedrich Knop on the cotangent bundles of spherical 
 varieties\, viewed as Hamiltonian manifolds.http://math.newark.rutgers.edu
 /~sakellar/
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DTSTART:20180325T030000
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