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SUMMARY:Geometry of the moduli space of abelian differentials - Ursula Ham
 enstadt\, Bonn
DTSTART:20151202T160000Z
DTEND:20151202T170000Z
UID:TALK60360@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:The moduli space of holomorphic one-forms on Riemann surfaces\
 nof fixed genus g admits a natural action of the group SL(2\,R) which has 
 a\nvery elementary description. So-called algebraically primitive\nTeichmu
 eller curves\nare closed orbits which correspond to Riemann surfaces with 
 special\nproperties.\n\nWe outline how classical tools from symplectic and
  complex geometry\ntogether with the groundbreaking work of Eskin\, Mirzak
 hani and Mohammadi\n(whose main statement is easy to understand)\ncan be u
 sed to show that for g at least three\, there are only finitely\nmany such
  orbits.\nWe also discuss some examples.
LOCATION:MR13
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