Higher groupoids
Vortrag von Prof. Dr. Ezra Getzler
Sprecher eingeladen von: Prof. Dr. Andrew Kresch
Datum: 12.11.13 Zeit: 17.15 - 18.30 Raum:
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, we 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).