David Kyed
(Syddansk Universitet)
June 16, 2021
14:00
(CEST)
Organized by Europe GNCG Seminar.

The Podleś spheres converge to the sphere

The Podleś spheres, which are q-deformed analogues of the 2-sphere, are among the most classical objects in non-commutative geometry, but only quite  recently their structure as quantum metric spaces has begun to unravel.   In my talk, I will first provide a basic introduction to Rieffel’s theory of compact quantum metric spaces and his non-commutative counterpart to the Gromov-Hausdorff distance, and then present some recent results showing that the quantised 2-spheres actually converge (in the quantum Gromov-Hausdorff distance) to the classical round 2-sphere as the deformation parameter q tends to 1. The talk is based on joint work with Konrad Aguilar, Thomas Gotfredsen and Jens Kaad.  

Share on email
Share on facebook
Share on google
Share on twitter
Share on linkedin