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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20241025T153000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-17
SUMMARY:Geometry and Topology Seminar
CLASS:PUBLIC
DESCRIPTION:CANDACE BETHEA\, DUKE UNIVERSITY\n\nThe local equivariant degre
 e and equivariant rational curve counting\n\nI will talk about joint work 
 with Kirsten Wickelgren on defining a\nglobal and local degree in stable e
 quivariant homotopy theory. We\nconstruct the degree of a proper G-map bet
 ween smooth G-manifolds and\nshow a local to global property holds. This a
 llows one to use the\ndegree to compute topological invariants\, such as t
 he equivariant\nEuler characteristic and Euler number. I will discuss the 
 construction\nof the equivariant degree and local degree\, and I will give
  an\napplication to counting orbits of rational plane cubics through 8\nge
 neral points invariant under a finite group action on CP^2. This\ngives th
 e first equivariantly enriched rational curve count\, valued in\nthe repre
 sentation ring and Burnside ring. I will also show this\nequivariant enric
 hment recovers a Welchinger invariant in the case\nwhen Z/2 acts on CP^2 b
 y conjugation.\n\nMC 5417
DTSTAMP:20260506T034025Z
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