Thursday 19 January 2017, 16:00 - 17:00 in HG03.085
Matias del Hoyo (UFF, Niteroi, Brazil)
Morita equivalences of vector bundles
Lie groupoids provide a unifying framework to deal with several structures on differential geometry, such as manifolds, Lie groups, actions, fibrations and foliations. Vector bundles over them arise naturally, with the tangent and cotangent constructions as prominent examples, and admit a nice interpretation as representations up to homotopy. In this talk I will discuss these notions and describe the behavior of vector bundles under Morita equivalences. I will relate our contributions with Poisson geometry, representations up to homotopy, and deformation cohomology. Joint with C. Ortiz. arXiv:1612.09289