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SUMMARY:Fixed-Curve Counts for Blow-Ups of Projective Spaces - Alessio Cel
 a\, University of Cambridge
DTSTART:20241113T141500Z
DTEND:20241113T151500Z
UID:TALK221683@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:In this talk\, I will explain how to count maps from a fixed g
 enus g curve to blow-ups of projective spaces. Such counts are referred to
  as the Tevelev degrees of the variety. I will discuss the relationship be
 tween the virtual and enumerative counts\, as well as the connection betwe
 en the stability (w.r.t. the curve class) of the tangent bundle of the var
 iety and the vanishing of these degrees. If time permits\, I will introduc
 e a modification of the moduli space of quasi-maps\, which computes the en
 umerative invariants for these blow-ups.
LOCATION:CMS MR13
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