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SUMMARY:Behnam Esmayli (Uni of Pittsburgh)
DTSTART:20201117T180000Z
DTEND:20201117T190000Z
DTSTAMP:20260423T021016Z
UID:OSGA/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/40/">Co
 -area formula for maps into metric spaces</a>\nby Behnam Esmayli (Uni of P
 ittsburgh) as part of Online Seminar "Geometric Analysis"\n\n\nAbstract\nC
 o-area formula for maps between Euclidean spaces contains\, as its very sp
 ecial cases\, both Fubini's theorem and integration in polar coordinates f
 ormula. In 2009\, L. Reichel proved the coarea formula for maps from Eucli
 dean spaces to general metric spaces. I will discuss a new proof of the la
 tter by the way of an implicit function theorem for such maps. An importan
 t tool is an improved version of the coarea inequality (a.k.a Eilenberg in
 equality) that was the subject of a recent joint work with Piotr Hajlasz. 
 Our proof of the coarea formula does not use the Euclidean version of it a
 nd can thus be viewed as a new (and arguably more geometric) proof in that
  case as well.\n
LOCATION:https://researchseminars.org/talk/OSGA/40/
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