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SUMMARY:Riemann surfaces\, complex projective structures\, and Bers' simul
 taneous uniformization - Shinpei Baba (Osaka University)
DTSTART:20250902T104500Z
DTEND:20250902T114500Z
UID:TALK233638@talks.cam.ac.uk
DESCRIPTION:For a closed orientable surface $S$ of genus at least two\, a 
 quasi-Fuchsian representation $\\pi_1(S) \\to {\\rm PSL}(2\, {\\rm C})$ is
  a convex cocomact representation\, or equivalently a quasi-isometric embe
 dding. By Bers' simultaneous uniformization theorem\, quasi-Fuchsian repre
 sentations correspond bijectively to pairs of Riemann surface structures o
 n $S$.\n&nbsp\;\nEach quasi-Fuchsian representation\, more precisely\, giv
 es a pair of complex projective structures on its corresponding Riemann su
 rfaces\, such that those projective structures share the quasi-Fuchsian ho
 lonomy. In this talk\, we discuss more general correspondence between pair
 s of isomonodromic complex projective structures and pairs of Riemann surf
 ace structures.
LOCATION:Seminar Room 1\, Newton Institute
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