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SUMMARY:Candace Bethea (Brown University)
DTSTART:20250224T210000Z
DTEND:20250224T220000Z
DTSTAMP:20260423T040044Z
UID:NTBU/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/19/">Co
 unting rational curves equivariantly</a>\nby Candace Bethea (Brown Univers
 ity) as part of Boston University Number Theory Seminar\n\nLecture held in
  CDS Room 365 in Boston University.\n\nAbstract\nThis talk will be a frien
 dly introduction to using topological invariants in enumerative geometry a
 nd how one might use equivariant homotopy theory to answer enumerative que
 stions under the presence of a finite group action. Recent work with Kirst
 en Wickelgren (Duke) defines a global and local degree in stable equivaria
 nt homotopy theory that can be used to compute the equivariant Euler chara
 cteristic and Euler number. I will discuss an application to counting orbi
 ts of rational plane cubics through an invariant set of 8 points in genera
 l position under a finite group action on $\\mathbb{C}\\mathbb{P}^2$\, val
 ued in the representation ring and Burnside ring. This recovers a signed c
 ount of real rational cubics when $\\mathbb{Z}/2$ acts on $\\mathbb{C}\\ma
 thbb{P}^2$ by complex conjugation.\n
LOCATION:https://researchseminars.org/talk/NTBU/19/
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