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SUMMARY:Damian Dabrowski (Universitat Autonoma de Barcelona)
DTSTART:20200615T150000Z
DTEND:20200615T155000Z
DTSTAMP:20260423T010139Z
UID:anpdews/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/anpdews/10/"
 >Cones\, rectifiability and singular integral operators.</a>\nby Damian Da
 browski (Universitat Autonoma de Barcelona) as part of HA-GMT-PDE Seminar\
 n\n\nAbstract\nLet K(x\, V\, s) be the open cone centred at x\, with direc
 tion V\, and aperture s. It is easy to see that if a set E satisfies for s
 ome V and s the condition:\n"if x belongs to E\, then E has an empty inter
 section with K(x\, V\, s)"\,\nthen E is a subset of a Lipschitz graph. To 
 what extent can we weaken the condition above and still get meaningful inf
 ormation about the geometry of E? It depends on what we mean by "meaningfu
 l information''\, of course. For example\, one could ask for rectifiabilit
 y of E\, or if E contains big pieces of Lipschitz graphs\, or if nice sing
 ular integral operators are bounded in L^2(E). In the talk I will discuss 
 these three closely related questions.\n
LOCATION:https://researchseminars.org/talk/anpdews/10/
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