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SUMMARY:Jean-Philippe Burelle (Univ. de Sherbrooke)
DTSTART:20220429T150000Z
DTEND:20220429T161500Z
DTSTAMP:20260423T005649Z
UID:CIRGET/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/66/">
 Piecewise circular curves and flag positivity.</a>\nby Jean-Philippe Burel
 le (Univ. de Sherbrooke) as part of CRM - Séminaire du CIRGET / Géométr
 ie et Topologie\n\n\nAbstract\nIn this joint work with Ryan Kirk\, we inve
 stigate moduli spaces of closed piecewise circular curves. A curve is piec
 ewise circular if it is made of pieces which are circular arcs\, and these
  arcs are tangent at the intersection of pieces. We identify a special con
 nected component of these moduli spaces and prove that it is homeomorphic 
 to an open ball of dimension 2n-10. We characterize this component as the 
 subset of curves which have decreasing curvature in an appropriate sense. 
 The proof involves "Lie circle geometry"\, a somewhat out of fashion theor
 y of the homogeneous spaces of Sp(4\,R)\, and Lusztig-Fock-Goncharov posit
 ivity.\n
LOCATION:https://researchseminars.org/talk/CIRGET/66/
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