PIRSA:26020029 Scientific Series Mathematical physics

DOI10.48660/26020029

Series: Mathematical Physics

Kupers, A. (2026). Diffeomorphisms of Discs. Perimeter Institute. https://pirsa.org/26020029

Kupers, Alexander. Diffeomorphisms of Discs. Perimeter Institute, Feb. 17, 2026, https://pirsa.org/26020029 

@misc{ pirsa_PIRSA:26020029,
  doi = {10.48660/26020029},
  url = {https://pirsa.org/26020029},
  author = {Kupers, Alexander},
  keywords = {Mathematical physics},
  language = {en},
  title = {Diffeomorphisms of Discs},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {feb},
  note = {PIRSA:26020029 see, \url{https://pirsa.org}}
}

Abstract

Discs are among the simplest manifolds, but their groups of diffeomorphisms can be very complicated. I will describe the techniques from geometry, topology, and dynamics that were used to understand these groups in low dimensions, the relationship of these groups to stable homotopy theory and number theory in high dimensions, and recent breakthroughs in understanding their rational homotopy type. This talk will be aimed at a broader audience.

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