BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Stefaan Vaes (KU Leuven\, Belgium) DTSTART:20221122T160000Z DTEND:20221122T170000Z DTSTAMP:20260422T180847Z UID:QGS/75 DESCRIPTION:Title: Qua ntum automorphism groups of connected locally finite graphs and quantizati ons of finitely generated groups\nby Stefaan Vaes (KU Leuven\, Belgium ) as part of Quantum Groups Seminar [QGS]\n\n\nAbstract\nI present a joint work with Lukas Rollier. We construct the quantum automorphism group of a ny connected locally finite\, possibly infinite\, graph as a locally compa ct quantum group that has the classical (locally compact) automorphism gro up as a closed quantum subgroup. For finite graphs\, we get the quantum au tomorphism group of Banica and Bichon. One of the key tools is the constru ction of a unitary tensor category associated with any connected locally f inite graph. When this graph is the Cayley graph of a finitely generated g roup\, the associated unitary tensor category has a canonical fiber functo r. We thus also obtain a quantization procedure for arbitrary finitely gen erated groups. In the particular example of groups defined by a triangle p resentation\, this construction gives the property (T) discrete quantum gr oups from earlier joint work with Valvekens.\n LOCATION:https://researchseminars.org/talk/QGS/75/ END:VEVENT END:VCALENDAR