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SUMMARY:Luis Alejandro Barbosa Torres (University of Sao Paulo-IME)
DTSTART:20210503T163000Z
DTEND:20210503T165500Z
DTSTAMP:20260423T024611Z
UID:JGPW2021/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JGPW2021/4/"
 >Equivariant Cohomology Models for Differentiable Stacks</a>\nby Luis Alej
 andro Barbosa Torres (University of Sao Paulo-IME) as part of Junior Globa
 l Poisson Workshop II\n\n\nAbstract\nWe introduce the concept of equivaria
 nt cohomology in the smooth manifold case and the notion of differentiable
  stacks. Then we consider an action of a Lie group on a differentiable sta
 ck in the sense of Romagny and consider the stacky quotient associated to 
 this action. Consequently\, we construct an atlas that makes these stacky 
 quotient a differentiable stack. Using that the nerve of the associated Li
 e groupoid of that stack gives its the homotopy type\, we provide a Borel 
 model for equivariant cohomology in this context. In order to follow the c
 lassical approach for equivariant cohomology\, we build a Cartan model for
  differentiable stacks and we prove that both models compute the same coho
 mology as the proposed by the Borel model.\n
LOCATION:https://researchseminars.org/talk/JGPW2021/4/
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