Groupoids, fibrations and rigidity
 
 
Description:  Fibred categories were introduced in descent theory by A. Grothendieck. In this talk I will discuss fibred Lie groupoids, an incarnation of that formalism in differential geometry, studied by K. Mackenzie, among others. In a joint work with R. Fernandes we construct suitable metrics on fibred Lie groupoids, and present as an application a rigidity result, obtained independently by M. Crainic et al. I will discuss the rudiments of our theory, present the main theorems, and derive as corollaries several classic results in the geometry of actions, fibrations and foliations, by R. Palais, H. Rosenberg, among others.
Date:  2015-10-28
Start Time:   14:30
Speaker:  Matias del Hoyo (IMPA, Brazil)
Institution:  IMPA, Rio de Janeiro, Brazil
Place:  Sala 5.5
Research Groups: -Geometry
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