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UID:75f6340078fb7de9c00b3d90f7615cf5
CATEGORIES:Geometric Analysis Seminar
CREATED:20211014T114448
SUMMARY:The Bernstein problem for equations of minimal surface type
LOCATION:Zoom 
DESCRIPTION:Abstract: The Bernstein problem asks whether entire minimal graphs in \n di
 mension N+1 are necessarily hyperplanes. This problem was solved in \n comb
 ined works of Bernstein, Fleming, De Giorgi, Almgren, and Simons \n ("yes" 
 if N &lt; 8), and Bombieri-De Giorgi-Giusti ("no" otherwise). We \n will di
 scuss the analogue of this problem for graphical minimizers of \n anisotrop
 ic energies. In particular, we will discuss new examples of \n nonlinear en
 tire graphical minimizers in the case N = 6, and recent \n joint work with 
 Y. Yang towards constructing such examples in the \n lowest-possible-dimens
 ional case N = 4.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract: The Bernstein problem asks whether entire minimal graphs in <b
 r /> dimension N+1 are necessarily hyperplanes. This problem was solved in 
 <br /> combined works of Bernstein, Fleming, De Giorgi, Almgren, and Simons
  <br /> ("yes" if N &lt; 8), and Bombieri-De Giorgi-Giusti ("no" otherwise)
 . We <br /> will discuss the analogue of this problem for graphical minimiz
 ers of <br /> anisotropic energies. In particular, we will discuss new exam
 ples of <br /> nonlinear entire graphical minimizers in the case N = 6, and
  recent <br /> joint work with Y. Yang towards constructing such examples i
 n the <br /> lowest-possible-dimensional case N = 4.</p>
CONTACT:Connor Mooney (UC Irvine)
X-EXTRAINFO:Zoom link: https://rutgers.zoom.us/s/97953490430
DTSTAMP:20260829T134658
DTSTART;TZID=America/New_York:20211019T145000
DTEND;TZID=America/New_York:20211019T155000
SEQUENCE:0
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