BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Shahn Majid (Queen Mary University of London\, UK) DTSTART:20210125T150000Z DTEND:20210125T160000Z DTSTAMP:20260423T053137Z UID:NCGandPH/1 DESCRIPTION:Title: Quantum groups and quantum spacetime models at the Planck scale.\nby Shahn Majid (Queen Mary University of London\, UK) as part of Noncommutati ve Geometry and Physics\n\n\nAbstract\nWhat can quantum groups and noncomm utative geometry plausibly tell us about Planck scale physics? I will revi ew key ideas and the current state of the art as I see it. In general term s\, since $x\,p$ do not commute in quantum mechanics\, and covariant momen ta do not commute on a curved space\, likewise by `Born reciprocity’ we should not expect the positions $x$ to commute either. This suggests the ` quantum spacetime hypothesis’ that quantum gravity effects are better mo delled by allowing spacetime to have noncommutative or `quantum’ coordin ates. Early models in the late 1980s were based on quantum groups either a s self-dual paradigms with observable-state/quantum-Born reciprocity\, or as Poincare symmetries of quantum Minkowski spacetimes (leading to the bic rossproduct family of quantum groups). By now\, there is a general framewo rk of quantum Riemannian geometry which allows a new generation of models\ , with discrete and/or curved quantum spacetimes and including cosmologica l and black hole models. I will outline the formalism and some of the comm on features and issues to date\, as well as first applications to baby mod els of quantum gravity itself.\n\n(15:00 GMT)\n LOCATION:https://researchseminars.org/talk/NCGandPH/1/ END:VEVENT END:VCALENDAR