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NCG&T Prague
Quantum Gromov-Hausdorff continuity of quantum SU(2)
Speaker’s name:
Jens Kaad
Speaker’s affiliation:
Syddansk Universitet, Odense
Place:
Blue seminar room, back building, Žitna 25 and on Zoom -
Meeting ID: 919 7518 3920
Passcode: 102707
https://cesnet.zoom.us/j/91975183920?pwd=SGdlRUhLS21HUnVFTXBKcE1vYXlrQT09
Meeting ID: 919 7518 3920
Passcode: 102707
https://cesnet.zoom.us/j/91975183920?pwd=SGdlRUhLS21HUnVFTXBKcE1vYXlrQT09
Date:
Tuesday, 30. November 2021 - 16:00 to 17:00
Abstract:
In this talk we investigate the spectral metric properties of quantum SU(2). These spectral metric properties are encoded by a particular twisted derivation coming from the pairing between the quantum enveloping algebra and quantum SU(2). We shall see that this twisted derivation provides quantum SU(2) with the structure of a compact quantum metric space. Moreover, these compact quantum metric spaces vary continuously in the q-deformation parameter with respect to the quantum Gromov-Hausdorff distance. This includes the special value q = 1, where we recover the classical 3-sphere equipped with the round metric. The talk is based on joint work with David Kyed.