Schreiber Higher and Equivariant Bundles

A talk that I have given:

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• Urs Schreiber

  on joint work with Hisham Sati

  (Math Dpt. & CQTS @ NYU AD):

  
  

  Higher and Equivariant Bundles

  
  

talk

$\;\;\;\;$ in the Higher Structures Seminar

$\;\;\;\;$ via Feza Gürsey Center for Math and Physics

$\;\;\;\;$ Bebek/İstanbul, 8th February 2022

on equivariant principal $\infty$-bundles.

• download:

  talk slides pdf

  video recording:

  • original (passcode: CkXFa4^J)

  • YouTube copy

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Abstract. The natural promotion of the classical concept of (principal) fiber bundles to “higher structures”, namely to equivariant principal $\infty$-bundles internal to a singular-cohesive $\infty$-topos, turns out to be a natural foundation for generalized cohomology theory in the full beauty of twisted equivariant differential non-abelian cohomology of orbifolds, and as such for much of the higher homotopical mathematics needed at the interface of algebraic topology, geometry and mathematical quantum physics. This talk gives some introduction and overview, based on joint work with H. Sati (arXiv:2008.01101, arXiv:2112.13654).

Related talks:

• Introduction to Higher Supergeometry

  talk at Higher Structures in M-Theory 2018

  Durham Symposium, 2018

• Twisted equivariant differential (TED) K-theory via diffeological stacks

  talk at Global Diffeology Seminar, 03 Nov 2022

  slides: pdf

Related lecture notes:

• Geometry of Physics

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