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UID:373dec1834fec3b2ee4627f540e7f2f4
CATEGORIES:Geometric Analysis Seminar
CREATED:20250203T114428
SUMMARY:Gluing Harmonic Maps
LOCATION:Hill-705
DESCRIPTION:A harmonic map is a map between manifolds that is a critical point of the D
 irichlet energy functional. In this talk, we consider harmonic maps from a 
 compact Riemann surface to a compact Riemannian manifold under the assumpti
 on of bounded energy. Sacks and Uhlenbeck proved that a sequence of such ma
 ps has a limit consisting of a harmonic map and some "bubbles". We will dis
 cuss a gluing theory for such harmonic maps. In addition, we will discuss t
 he properties of this gluing map and how to apply them to the bubbling phen
 omenon.\n
X-ALT-DESC;FMTTYPE=text/html:<p>A harmonic map is a map between manifolds that is a critical point of th
 e Dirichlet energy functional. In this talk, we consider harmonic maps from
  a compact Riemann surface to a compact Riemannian manifold under the assum
 ption of bounded energy. Sacks and Uhlenbeck proved that a sequence of such
  maps has a limit consisting of a harmonic map and some "bubbles". We will 
 discuss a gluing theory for such harmonic maps. In addition, we will discus
 s the properties of this gluing map and how to apply them to the bubbling p
 henomenon.</p>
CONTACT:Shaozong Wang
DTSTAMP:20260830T084545
DTSTART;TZID=America/New_York:20250204T145000
DTEND;TZID=America/New_York:20250204T155000
SEQUENCE:0
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