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SUMMARY:Hodge theory for curves - Thomas Prince (Imperial College)
DTSTART:20151016T140000Z
DTEND:20151016T150000Z
UID:TALK61885@talks.cam.ac.uk
CONTACT:Christian Lund
DESCRIPTION:Hodge structures enrich the cohomology of a variety with a fil
 tration dependent on the complex structure\, providing a very rich geometr
 ic invariant and an essential tool in many areas of modern algebraic geome
 try. By studying hyperelliptic curves we can introduce a number of importa
 nt tools and techniques very geometrically and very explicitly. We will co
 ver topics from a subset of: Period domains and the Siegel upper half spac
 e\, Picard-Fuchs equations\, Torelli theorems and the Abel-Jacobi map\, de
 generations of Hodge structures and mixed Hodge structures from log poles.
  In particular I hope this will be accessible for beginning graduate stude
 nts but also of general interest.
LOCATION:MR13
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