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CATEGORIES:Algebraic Geometry Seminar
SUMMARY:Geometry of the double ramification cycle - David
Holmes\, Leiden University
DTSTART;TZID=Europe/London:20200212T141500
DTEND;TZID=Europe/London:20200212T151500
UID:TALK134296AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/134296
DESCRIPTION:The double ramification cycle on the moduli space
of curves measures how often a `randomâ€™ divisor on
a curve is principal. We will begin by recalling
the basic construction\, and explaining how to ext
end 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 l
ook deeper into the geometric properties of this c
ycle\, in particular its self-intersection\, with
the aim of explaining why the double ramification
cycle should really be seen as living in the (as-y
et undefined) logarithmic Chow ring. Parts of this
story are joint work with Jesse Kass\, Nicola Pag
ani\, Aaron Pixton and Johannes Schmitt.
LOCATION:CMS MR13
CONTACT:Dhruv Ranganathan
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