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SUMMARY:Quantitative estimates for the Dirichlet energy
DTSTART:20250602T120000Z
DTEND:20250602T130000Z
DTSTAMP:20260418T170800Z
UID:indico-event-13395@indico.math.cnrs.fr
DESCRIPTION:Speakers: Melanie Rupflin (Oxford)\n\nIn the analysis of varia
 tional problems it is often important to understand not only the behaviour
  of exact minimisers and critical points\, but also of maps that almost mi
 nimise the energy or that almost solve the associated Euler-Lagrange equat
 ions.\n It is in particular natural to ask whether the distance of an alm
 ost minimiser to the nearest minimising state is controlled in terms of th
 e energy defect and whether such a result not only holds in a qualitative\
 , but in a sharp quantitative way.\nIn this talk we will discuss this and 
 related questions for the classical Dirichlet energy of maps from surfaces
  into manifolds\, in particular in the simple model problem of maps from t
 he sphere $S^2$ to itself\, for which minimisers (to given degree) are sim
 ply given by meromorphic functions in stereographic coordinates.\n\nhttps:
 //indico.math.cnrs.fr/event/13395/
LOCATION:Salle Pellos (1R2-207)
URL:https://indico.math.cnrs.fr/event/13395/
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