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SUMMARY:Curves\, maps\, and singularities in genus one - Dhruv Ranganathan
  (MIT/Cambridge)
DTSTART:20181010T131500Z
DTEND:20181010T141500Z
UID:TALK109066@talks.cam.ac.uk
CONTACT:Mark Gross
DESCRIPTION:I will outline a new framework based on tropical geometry to s
 tudy genus one\ncurve singularities and discuss its relationship with the 
 geometry of moduli\nspaces. I will focus on the application of this framew
 ork to construct new\nnonsingular compact moduli spaces parameterizing ell
 iptic curves in projective\nspace. This also reveals a modular interpretat
 ion for Vakil and Zinger’s\nfamously difficult desingularization of the 
 space of elliptic curves in\nprojective space\, as well as a short and con
 ceptual proof of that result. The\nframework also gives rise to new insigh
 ts into the Hassett—Keel program for\nspaces of elliptic curves. This is
  based on joint work with Keli Santos-Parker\nand Jonathan Wise.
LOCATION:CMS MR13
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