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SUMMARY:Teichmüller curves in genus three and unlikely intersections - Ma
 rtin Moeller\, MPI &amp\; Frankfurt
DTSTART:20150225T160000Z
DTEND:20150225T170000Z
UID:TALK56602@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:The group SL(2\,R) acts on the moduli space of flat surfaces\n
 and after the solution of the Ratner type question by Eskin-Mirzakhani-Moh
 ammadi\nthe classification problem for orbit closures is the main open que
 stion\nFor almost a decade no new examples of one-dimensional orbit closur
 es\, i.e.\,\nTeichmüller curves\, have been found.\n\nIn this talk we pre
 sent various techniques to rule out the existence of Teichmüller\ncurves.
  Besides geometric arguments\, we use one number theoretic result:\nWe ext
 end the theory of unlikely intersections from the multiplicative group G_m
 \nto products with G_a factors.
LOCATION:MR13
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