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SUMMARY:Quantitative stratification and applications to harmonic forms
DTSTART:20140408T161500
DTEND:20140408T171500
DTSTAMP:20260407T045636Z
UID:1034e140479cf60a8bccc55bde70a6b003cfe8c04695bdf31f8bf859
CATEGORIES:Conferences - Seminars
DESCRIPTION:Daniele Valtorta (EPFL)\nGeometry and Dynamics SeminarAbstract
 : Given a harmonic function defined on the unit ball of R^n\, we discuss t
 echniques to obtain effective volume estimates on the tubular neighborhood
  of its critical sets.\nWe use a technique recently introduced by prof. Je
 ff Cheeger and Aaron Naber\, called quantitative stratification technique.
  It is based on approximate symmetries of the function at different scales
 . Studying how these approximate symmetries interact with each other\, we 
 obtain the effective volume estimates.\nIn the second part of the talk\, w
 e discuss recent improvements on these results and extensions to nodal set
 s.\nThese results are described in a preprint available on arXiv.
LOCATION:MA A3 31 http://plan.epfl.ch/?room=MA%20A3%2031
STATUS:CONFIRMED
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