BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Bart Michels (Sorbonne Paris Nord)
DTSTART:20211027T151500Z
DTEND:20211027T161500Z
DTSTAMP:20260423T004638Z
UID:HASS21/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HASS21/2/">M
 ean square asymptotics and oscillatory integrals for maximal flat submanif
 olds of locally symmetric spaces</a>\nby Bart Michels (Sorbonne Paris Nord
 ) as part of Harmonic Analysis and Symmetric Spaces 2021\n\n\nAbstract\nGi
 ven a compact locally symmetric space of non-compact type\, we present a m
 ean square asymptotic for integrals of eigenfunctions along maximal flat s
 ubmanifolds\, constrained to eigenfunctions with suitably generic spectral
  parameter. This is motivated by questions concerning the maximal size of 
 automorphic periods. The proof uses the pre-trace formula. The analysis of
  orbital integrals requires knowledge about the geometry of maximal flat s
 ubmanifolds of the globally symmetric space S. When S is the hyperbolic pl
 ane\, modeled by the upper half plane\, the maximal flat submanifolds are 
 geodesics\, and they are lines or half-circles orthogonal to the real axis
 . The midpoints of the half-circles play a critical role\, as do their ana
 logues in higher rank spaces\, and one is led to generalize their properti
 es as well as other facts about maximal flat submanifolds.\n
LOCATION:https://researchseminars.org/talk/HASS21/2/
END:VEVENT
END:VCALENDAR