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SUMMARY:Geometry of the double ramification cycle - David Holmes\, Leiden 
 University
DTSTART:20200212T141500Z
DTEND:20200212T151500Z
UID:TALK134296@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:The double ramification cycle on the moduli space of curves me
 asures how often a `random’ divisor on a curve is principal. We will beg
 in by recalling the basic construction\, and explaining how to extend this
  to the boundary of the moduli space (the latter was for some time an open
  problem\, but now has several equivalent solutions). We will then look de
 eper into the geometric properties of this cycle\, in particular its self-
 intersection\, with the aim of explaining why the double ramification cycl
 e should really be seen as living in the (as-yet undefined) logarithmic Ch
 ow ring. Parts of this story are joint work with Jesse Kass\, Nicola Pagan
 i\, Aaron Pixton and Johannes Schmitt. 
LOCATION:CMS MR13
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