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VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20191104T092103Z
DTSTART:20191104T150000Z
DTEND:20191104T160000Z
SUMMARY:Pablo Shmerkin -A nonlinear version of Bourgain's projection theo
rem\, with applications
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}etz-k1qgeb5
8-menhe3
DESCRIPTION:Pablo Shmerkin will be speaking at this research seminar\, pa
rt of the Dynamical Systems and Analysis seminar series. \n\nAbstract:
Bourgain's projection theorem is an important extension of his celebrate
d discretized sum-product estimate. I will discuss a generalization of t
he projection theorem from the family of linear projections to parametri
zed families of smooth maps satisfying a technical but mild condition. I
will present some applications to distance sets and radial projections\
, as well as a relaxation of the hypotheses of the theorem that is new e
ven in the linear case. The proofs are based on applying the original ve
rsion of the theorem to measures in a suitable multiscale decomposition\
, that I will describe if time allows.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:G.113\, Alan Turing Building\, Manchester
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