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SUMMARY:Gabriele Mondello (Univ. di Roma "Sapienza")
DTSTART:20200710T150000Z
DTEND:20200710T161500Z
DTSTAMP:20260423T005729Z
UID:CIRGET/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/9/">O
 n spherical surfaces of genus 1 with 1 conical point</a>\nby Gabriele Mond
 ello (Univ. di Roma "Sapienza") as part of CRM - Séminaire du CIRGET / G
 éométrie et Topologie\n\n\nAbstract\nA spherical metric on a surface is 
 a metric of constant curvature 1.\nSuch a metric has a conical point x of 
 angle $2\\pi\\theta$ if it has vanishing order $(\\theta-1)$ at x.\nA sphe
 rical metric in an assigned conformal class can be viewed on one hand as a
  solution of a suitable singular Liouville equation.\nOn the other hand\, 
 when the conformal class is not prescribed\, isotopy classes of spherical 
 metrics can be considered as flat (SO(3\,R)\,S^2)-structure\, and so their
  moduli space has a natural finite-dimensional real-analytic structure.\n\
 nI will discuss recent results on the topology of such moduli space of sph
 erical metrics with conical points of assigned angles.\nI will then focus 
 on the case of genus 1 with 1 conical point.\n\nThis is joint work with Er
 emenko-Panov and with Eremenko-Gabrielov-Panov.\n
LOCATION:https://researchseminars.org/talk/CIRGET/9/
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