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CATEGORIES:Study group in Graph Theory\, Topology and Algorit
hms
SUMMARY:Rigidity of symmetry-forced frameworks - Daniel Be
rnstein\, MIT
DTSTART:20210125T140000Z
DTEND:20210125T150000Z
UID:TALK4425AT
URL:/talk/index/4425
DESCRIPTION:The fundamental problem in rigidity theory is to d
etermine whether a given immersion of a graph into
d-dimensional eucledian space R(d) can be continu
ously deformed\, treating the edges as rigid strut
s that can move freely about their incident vertic
es. For a fixed graph G\, either all generic immer
sions of G into R(d) are rigid\, in which case we
say that G is generically rigid in R(d)\, or all g
eneric immerisions of G into R(d) are not rigid\,
in which case we say that G is generically flexibl
e in R(d). Perhaps the most well-known result in t
his area is Laman's theorem\, which is a combinato
rial characterization of the graphs that are gener
ically minimally rigid in the place R(2). In appli
cations to crystallography\, the relevant framewor
ks have symmetry that continuous deformations must
preserve. The main result of this talk is a Laman
-like theorem for symmetric frameworks with certai
n kinds of symmetry.
LOCATION:https://bham-ac-uk.zoom.us/j/83083662740
CONTACT:Johannes Carmesin
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