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SUMMARY:Daniele Valtorta (University of Milano Bicocca)
DTSTART:20240515T120000Z
DTEND:20240515T140000Z
DTSTAMP:20260423T005830Z
UID:NCTS-GMT/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NCTS-GMT/23/
 ">Energy identity for stationary harmonic maps</a>\nby Daniele Valtorta (U
 niversity of Milano Bicocca) as part of NCTS international Geometric Measu
 re Theory seminar\n\n\nAbstract\nWe present the proof for Energy Identity 
 for stationary harmonic maps. In particular\, given a sequence of stationa
 ry harmonic maps weakly converging to a limit with a defect measure for th
 e energy\, then $m-2$ almost everywhere on the support of this measure the
  density is the sum of energy of bubbles. This is equivalent to saying tha
 t annular regions (or neck regions) do not contribute to the energy of the
  limit.\n\nThis result is obtained via a quantitative analysis of the ener
 gy in annular regions for a fixed stationary harmonic map. The proof is te
 chnically involved\, but it will be presented in simplified cases to try a
 nd convey the main ideas behind it. (Preprint available on arXiv:2401.0224
 2)\n
LOCATION:https://researchseminars.org/talk/NCTS-GMT/23/
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