A talk that I have given:
on joint work with Hisham Sati
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.
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:
Last revised on March 23, 2024 at 17:20:08. See the history of this page for a list of all contributions to it.