BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Lp-restriction of eigenfunctions to random Cantor
type sets - Suresh Eswarathasan\, Cardiff
DTSTART;TZID=Europe/London:20180307T160000
DTEND;TZID=Europe/London:20180307T170000
UID:TALK94654AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/94654
DESCRIPTION:Let (M\,g) be a compact Riemannian surface without
boundary. Consider the corresponding L2-normaliz
ed Laplace-Beltrami eigenfunctions. Eigenfunction
s of this type arise in physics as modes of period
ic vibration of drums and membranes. They also rep
resent stationary states of a free quantum particl
e on a Riemannian manifold. In the first part of t
he lecture\, I will give a survey of results which
demonstrate how the geometry of M affects the beh
aviour of these special functions\, particularly t
heir size which can be quantified by estimating Lp
norms.\n\nIn the second part\, I will present joi
nt results with Pramanik (UBC) on the Lp restricti
ons of these eigenfunctions to random Cantor-type
subsets of M. Our method includes concentration i
nequalities from probability theory in addition to
the analysis of singular Fourier integral operato
rs on fractals.\n
LOCATION:MR13
CONTACT:Ivan Smith
END:VEVENT
END:VCALENDAR