Matteo Gallet's seminar: "The number of realizations of a Laman graph"

Antonio Lerario lerario at sissa.it
Mon Jan 20 16:24:50 CET 2020


SEMINAR ANNOUNCEMENT

Speaker: Matteo Gallet (SISSA)
Venue: Tuesday, January 21 (tomorrow!), room A-137, 3pm (note the unusual
time an location!)
Title: The number of realizations of a Laman graph

Abstract
Laman graphs model planar frameworks that are rigid for a general choice of
distances between the vertices. There are finitely many ways, up to
isometries, to realize a Laman graph in the plane. Such realizations can be
seen as solutions of systems of quadratic equations prescribing the
distances between pairs of points. Using ideas from algebraic and tropical
geometry, we provide a recursive formula for the number of complex
solutions of such systems.
This is a joint work with Jose Capco, Georg Grasegger, Christoph
Koutschan, Niels Lubbes, and Josef Schicho.

-- 
*http://people.sissa.it/~lerario <http://people.sissa.it/~lerario>*


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