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SUMMARY:Frediani Paola (Università di Pavia)
DTSTART:20210218T140000Z
DTEND:20210218T150000Z
DTSTAMP:20260423T021227Z
UID:ZAG/96
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/96/">A c
 anonical Hodge theoretic projective structure on compact Riemann surfaces<
 /a>\nby Frediani Paola (Università di Pavia) as part of ZAG (Zoom Algebra
 ic Geometry) seminar\n\n\nAbstract\nIn this talk we will show the existenc
 e of a canonical projective structure on every compact Riemann surface\, c
 oming from Hodge theory. We will show that it differs from the canonical p
 rojective structure produced by the uniformisation theorem. In fact the (0
 \,1)- component of the differential of the corresponding sections of the m
 oduli space of projective structures over the moduli space of curves are d
 ifferent. The one corresponding to the projective structure coming from un
 iformisation was computed by Zograf and Takhtadzhyan as the Weil-Petersson
  Kaehler form on the moduli space of curves. Ours is the pullback via the 
 Torelli map  of a nonzero constant scalar multiple of the Siegel form on t
 he moduli space of principally polarised abelian varieties. These are resu
 lts obtained in collaboration with I. Biswas\, E. Colombo and G.P. Pirola.
 \n
LOCATION:https://researchseminars.org/talk/ZAG/96/
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