Completeness and linearization
 
 
Description: 

Given a surjective submersion, the following are equivalent: (i) it is locally trivial, (ii) it admits a complete connection, (iii) it admits a fibered complete metric. Surjective submersions are examples of Lie groupoids, and conversely, any Lie groupoid can be regarded as a surjective submersion over a stack. In this talk I will discuss the classic result and its groupoid analogue, relating linearization of Lie groupoids and complete Riemannian groupoids.

Joint work with M. de Melo (USP).

Date:  2022-11-16
Start Time:   14:00
Speaker:  Matias del Hoyo (Univ. Federal Fluminense, Brazil)
Institution:  Universidade Federal Fluminense, Niterói, Brazil
Place:  Room 5.5
Research Groups: -Geometry
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