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SUMMARY:Filip Rindler (University of Warwick)
DTSTART:20211005T170000Z
DTEND:20211005T180000Z
DTSTAMP:20260423T035037Z
UID:OSGA/82
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/82/">Sp
 ace-time integral currents of bounded variation</a>\nby Filip Rindler (Uni
 versity of Warwick) as part of Online Seminar "Geometric Analysis"\n\n\nAb
 stract\nI will present aspects of a theory of space-time integral currents
  with bounded variation in time. This is motivated by a recent model for e
 lasto-plastic evolutions that are driven by the flow of dislocations (this
  model is joint work with T. Hudson). The classical scalar BV-theory can b
 e recovered as the 0-dimensional limit case of this BV space-time theory. 
 However\, the emphasis is on evolutions of higher-dimensional objects\, mo
 st notably 1D loops moving within 3D domains (i.e.\, the codimension 2 cas
 e)\, which corresponds to dislocation dynamics in a material specimen. Bas
 ed on this\, I will discuss the notion of Lipschitz deformation distance b
 etween integral currents\, which arises physically as a (simplified) measu
 re of dissipation. In particular\, I will explain its relation to the boun
 daryless Whitney flat metric.\n
LOCATION:https://researchseminars.org/talk/OSGA/82/
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