Introduction to the Language of Stacks and Gerbes

By Ieke Moerdijk. 2002

69 citations recorded by the source corpus.

This is the text of a series of four one hour lectures given as part of the “Third Lisbon Summer Lectures in Geometry”, which took place in the summer of 2002 at the Instituto Tecnico Superior in Lisbon. The lectures were aimed at an audience consisting of students with some background in topology (but not necessarily in algebraic geometry). The purpose of the lectures was to give a quick introduction to gerbes, with an emphasis on non-abelian ˇCech cohomology.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f482db18cb1b08956925825a217cf02ab24ac1e3

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Citations in the corpus

Principal 2-bundles and their gauge 2-groups (2008, background): “Moreover, he would like to thank Ieke Moerdijk for writing the excellent introduction [35], which clarified”
Lectures on integrability of Lie brackets (2006, unknown): “Other fundamental examples were discovered over many years by different authors, such as Élie Cartan’s infinite continuous groups (Singer and Sternberg, [56]), the integrability of infinitesimal actions on manifolds (Palais, [50], Moerdijk and Mrčun [47]), abstract Atiyah sequences and transitive ”
Differentiable stacks and gerbes (2006, background): “ofGiraud[19]thatthereis abijection between H2(X,S1) and Moritaequivalence classesof Lie groupoidS1-central extensions. We note that there are several independent investigations of similar topics; see [7, 36, 37, 42, 50]. An S1-central extension of a Lie groupoid X 1 ⇉ X 0 is a Lie groupoid R 1 ⇉ X 0”