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SUMMARY:Daniel Irving Bernstein (MIT)
DTSTART:20200716T140000Z
DTEND:20200716T150000Z
DTSTAMP:20260423T052712Z
UID:VSAMRT/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSAMRT/10/">
 Generic symmetry-forced infinitesimal rigidity: translations and rotations
 </a>\nby Daniel Irving Bernstein (MIT) as part of Virtual seminar on algeb
 raic matroids and rigidity theory\n\n\nAbstract\nBar and joint frameworks 
 appearing in certain applications (particularly crystallography) are often
  constrained to have particular symmetries. This motivates the study of sy
 mmetric frameworks whose allowable flexes preserve the symmetry. Just as n
 on-symmetric frameworks are represented using graphs\, symmetric framework
 s are represented using gain graphs\, i.e. directed graphs whose arcs are 
 labeled by elements of a group. The main result of this talk is a Laman-li
 ke characterization of the gain graphs that are generically infinitesimall
 y symmetry-forced rigid in the plane when the symmetry group consists of t
 ranslations and rotations.\n
LOCATION:https://researchseminars.org/talk/VSAMRT/10/
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