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UID:f952c7157431f0ec600d0e7b39da9e0a
CATEGORIES:Topology/Geometry Seminar
CREATED:20231011T184021
SUMMARY:Projective rigidity of circle packings
LOCATION:Online (See Zoom link)
DESCRIPTION:<p>Seminar website:&nbsp;<a href="https://sites.google.com/view/rutgersgeom
 etrytopologysem2324/home">https://sites.google.com/view/rutgersgeometrytopo
 logysem2324/home</a><span style="color: #000000;"></span></p><p>Zoom link:&
 nbsp;<a href="https://rutgers.zoom.us/j/91431828633?pwd=NWhGa0FkWjFEWWtQU0Z
 tcWlnL2lQdz09">https://rutgers.zoom.us/j/91431828633?pwd=NWhGa0FkWjFEWWtQU0
 ZtcWlnL2lQdz09</a></p>
CONTACT:Francesco Bonsante (Università degli Studi di Pavia)
X-EXTRAINFO:Abstract:\nObserving that the notion of disk in CP^1 is invariant under pro
 jective transformations, Kojima, Mizushima and Tan proposed the study of ci
 rcle packings on surfaces equipped with  complex projective structure. \nTh
 e main observation is that the combinatorially  a circle packing is describ
 ed by a triangulation of the surface, called the nerve of the circle packin
 g.\nIn the talk we will prove that for a fixed surface S of genus g bigger 
 than one, and for a fixed triangulation T on S,  the moduli space of pairs 
 (P,C), where P is a complex projective structure S and C is a circle packin
 g with nerve equal to T, is naturally a manifold of dimension 6g-6.\nWe mor
 eover prove that the circle packing is locally rigid, in the sense that the
 re is no local deformation of C within a fixed projective surface P.\nResul
 ts presented in the talk are part of a  collaboration with Michael Wolf.
DTSTAMP:20260829T001145
DTSTART;TZID=America/New_York:20231024T160000
DTEND;TZID=America/New_York:20231024T170000
SEQUENCE:0
TRANSP:OPAQUE
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