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SUMMARY:Stable maps to quotient stacks with a properly stable point - Andr
 ea Di Lorenzo\, University of Pisa
DTSTART:20250122T141500Z
DTEND:20250122T151500Z
UID:TALK221677@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:Finding nice compactifications of moduli stacks of maps from s
 mooth curves to a fixed target X is a central problem in enumerative geome
 try. Over the years\, this problem has been solved in several degrees of g
 enerality\, depending on what kind of object the target X is. I will prese
 nt a way to compactify the stack of maps to quotient stacks having an inte
 gral\, projective good moduli space and a properly stable point. This cons
 truction applies for instance when X is the GIT compactification of stacks
  of binary forms of even degree\, of plane cubics\, and also when X is a q
 uotient of a Deligne-Mumford stack by a torus. This is a joint work with G
 iovanni Inchiostro.
LOCATION:CMS MR13
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