BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Siarhei Finski (Université Grenoble Alpes)
DTSTART:20210223T170000Z
DTEND:20210223T180000Z
DTSTAMP:20260423T004659Z
UID:GNTRT/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GNTRT/4/">On
  Riemann-Roch-Grothendieck theorem for punctured curves with hyperbolic si
 ngularities</a>\nby Siarhei Finski (Université Grenoble Alpes) as part of
  Geometry\, Number Theory and Representation Theory Seminar\n\n\nAbstract\
 nWe will present a refinement of Riemann-Roch-Grothendieck theorem on the 
 level of differential forms for families of curves with hyperbolic cusps. 
 The study of spectral properties of the Kodaira Laplacian on those surface
 s\, and more precisely of its determinant\, lies in the heart of our appro
 ach.\n\nWhen our result is applied directly to the moduli space of punctur
 ed stable curves\, it expresses the extension of the Weil-Petersson form (
 as a current) to the boundary of the moduli space in terms of the first Ch
 ern form of a Hermitian line bundle. This provides a generalisation of a r
 esult of Takhtajan-Zograf.\n\nWe will also explain how our results imply s
 ome bounds on the growth of Weil-Petersson form near the compactifying div
 isor of the moduli space of punctured stable curves. This would permit us 
 to give a new approach to some well-known results of Wolpert on the Weil-P
 etersson geometry.\n
LOCATION:https://researchseminars.org/talk/GNTRT/4/
END:VEVENT
END:VCALENDAR