PIRSA:26020029

Diffeomorphisms of Discs

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}}
          }

Alexander Kupers University of Toronto Scarborough

Talk numberPIRSA:26020029
DOI10.48660/26020029
Collection
Talk Type Scientific Series
Subject

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.