Grupos de Trabajo

Reading Groupoid - Differentiable Stacks I: Equivalences of Lie Groupoids

Ponente:  Óscar Carballal (UCM)
Fecha:  martes 13 de octubre de 2026 - 15:30-17:00
Lugar:  Aula Gris 3, ICMAT
Online:  https://us02web.zoom.us/j/82328231233?pwd=nwEIkqmQcT6ls0tPaxubeAbTXXhTtY.1

Resumen:

This is the first in a series of lectures on differentiable stacks. We compare several notions of equivalence between Lie groupoids: isomorphisms, strong equivalences, and Morita maps. We then present a theorem of del Hoyo characterising Morita maps as those Lie groupoid morphisms that preserve transversal data, namely, those inducing a homeomorphism between orbit spaces and isomorphisms between the normal representations of the corresponding isotropy groups. 

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