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SUMMARY:Piotr Hajłasz (University of Pittsburgh)
DTSTART:20240918T113000Z
DTEND:20240918T133000Z
DTSTAMP:20260423T005830Z
UID:NCTS-GMT/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NCTS-GMT/25/
 ">Constructing diffeomorphisms and homeomorphisms with prescribed derivati
 ve</a>\nby Piotr Hajłasz (University of Pittsburgh) as part of NCTS inter
 national Geometric Measure Theory seminar\n\n\nAbstract\nIn the talk I wil
 l prove that for any measurable mapping $T$ into the space of matrices wit
 h positive determinant\, there is a diffeomorphism whose derivative equals
  $T$ outside a set of measure less than $\\varepsilon$. Using this fact I 
 will prove that for any measurable mapping $T$ into the space of matrices 
 with non-zero determinant (with no sign restriction)\, there is an almost 
 everywhere approximately differentiable homeomorphism whose derivative equ
 als $T$ almost everywhere. The talk is based on my joint work with P. Gold
 stein and Z. Grochulska.\n
LOCATION:https://researchseminars.org/talk/NCTS-GMT/25/
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