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SUMMARY:Moduli and periods of elliptic surfaces - Nicholas Shepherd-Barron
 \, Kings College London
DTSTART:20230308T141500Z
DTEND:20230308T151500Z
UID:TALK197851@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION: The moduli space of elliptic surfaces is framed by rank 1 fol
 iations along each of which the derivative of the period map can be descri
 bed in terms of certain differentials of the second kind. These forms prov
 ide a basis of the appropriate part of the cohomology of the surface and c
 an be used to prove a generic Torelli theorem and an infinitesimal Schottk
 y theorem. We give an explicit formula for the cup product of these forms\
 , analogous to Riemann's bilinear relation in the 1-dimensional context\, 
 and extract explicit co-ordinates on the moduli space from this picture.
LOCATION:CMS MR13
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