PIRSA:25110051

De Rham Theory in Derived Differential Geometry

Taroyan, G. (2025). De Rham Theory in Derived Differential Geometry. Perimeter Institute. https://pirsa.org/25110051

Taroyan, Grisha. De Rham Theory in Derived Differential Geometry. Perimeter Institute, Nov. 03, 2025, https://pirsa.org/25110051 

          @misc{ pirsa_PIRSA:25110051,
            doi = {10.48660/25110051},
            url = {https://pirsa.org/25110051},
            author = {Taroyan, Grisha},
            keywords = {Mathematical physics},
            language = {en},
            title = {De Rham Theory in Derived Differential Geometry},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {nov},
            note = {PIRSA:25110051 see, \url{https://pirsa.org}}
          }

Grisha Taroyan University of Toronto

Talk numberPIRSA:25110051
DOI10.48660/25110051
Collection
Talk Type Conference
Subject

Abstract

In my talk, I will present a version of the de Rham isomorphism for derived manifolds and derived differentiable stacks. I will also show how the naive version of the de Rham theorem fails for general derived manifolds, but holds in analytic contexts, such as for derived analytic manifolds. The talk is based on a recent preprint: arXiv:2505.03978.