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Seminário Simplético (IMPA - PUC - UFF - UFRJ)

Local Lie groupoids
Rui L. Fernandes

University of Illinois at Urbana-Champaign
Terça-feira, 3 de abril de 2018, 14:00
Auditorio 1

Local Lie groups is an old subject which has attracted much attention recently due to the solution of the local version of Hilbert's fifth problem by Golbring (see, e.g., the recent monograph by T. Tao). In this talk, I will give a survey of the theory of local Lie groupoids, which is the subject of the thesis of my PhD student Dan Michiels. One particularly important new aspect that will be discussed is the relationship between monodromy (obstructions to integrability of a Lie algebroid) and associators (obstructions to globalizability of a local groupoid).