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SUMMARY:Quantitative estimates for the Dirichlet energy - Melanie  Rupflin
  (University of Oxford)
DTSTART:20250819T150000Z
DTEND:20250819T154500Z
UID:TALK234730@talks.cam.ac.uk
DESCRIPTION:In this talk we discuss the question of quantitative stability
  of minimisers for the classical Dirichlet energy of maps from $R^2$ into 
 the unit sphere\, i.e. whether\, and with what rate\, the distance of a ma
 p which almost minimise the energy (with given degree) to the nearest mini
 miser can be bounded in terms of the energy defect.\nWe will see that ther
 e is a marked difference between maps of degree 1 and maps of higher degre
 e and will discuss how a more flexible approach to quantitative stability 
 and specially designed gradient flows can be used to establish sharp quant
 itative stability results for maps for which energy concentrates at multip
 le scales and/or near multiple points.
LOCATION:Seminar Room 1\, Newton Institute
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