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Lecture by Prof. Dr. Ezra Getzler (Northwestern)

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Higher Lie groupoids

What
  • Single Talk
When Nov 28, 2013
from 05:00 PM to 06:00 PM
Where Hörsaal II, Albertstr. 23b
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Lie groupoids are a fundamental part of the language of differential geometry: they bring both differentiable actions of Lie groups and foliations under a single roof. In complex geometry, they underly the work of Kuranishi and others on moduli of holomorphic vector bundles. In this talk, I will report on recent work (joint with Kai Behrend) generalizing the theory of Lie groupoids to higher groupoids - where the symmetries have symmetries of their own, and so on. We will show how this yields a language for extending Kuranishi's ideas to the setting of complexes of holomorphic bundles (or better, of twisted complexes).

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