BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Radu Toma (IMJ-PRG)
DTSTART:20250212T160000Z
DTEND:20250212T170000Z
DTSTAMP:20260418T065211Z
UID:LNTS/150
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/150/">T
 he size of newforms</a>\nby Radu Toma (IMJ-PRG) as part of London number t
 heory seminar\n\nLecture held in Room 505\, Department of Mathematics (25 
 Gordon St)\, University College London.\n\nAbstract\nGiven an $L^2$-normal
 ised newform for $\\mathrm{SL}(n)$\, how large are its values in terms of 
 its level? The theory of quantum chaos suggests such a newform should be s
 mall. I will give an overview of how to show interesting upper bounds usin
 g spectral analysis\, Hecke operators\, and geometry of numbers. I will pr
 esent the first "non-trivial" bounds in higher rank and talk about interme
 diate results of perhaps independent interest\, such as Atkin--Lehner oper
 ators for $\\mathrm{SL}(n)$ and a reduction theory with level structure.\n
LOCATION:https://researchseminars.org/talk/LNTS/150/
END:VEVENT
END:VCALENDAR